Contents

% E:\LatexFiles2011Jan\game0921\ITPv0403\ToHJ0429\RPSresub0506\TASP0526forEnEdit\

% % arr= xlsread('F:\CycleFT0801\RPSEE99stata\Distribution.csv');
% % arr=[arr arr(:,7)/3600];
% F:\CycleFT0801\RPSEE99stata\DiatributionEE99Nash.m
% %  分布图 和 Nash 的差值, 1% 精度
function ret=DiatributionEE99Nash()
format long
            % F:\CycleFT0801\RPSEE99stata\RPSEE99_20131206a.do 生成
            % F:\CycleFT0801\RPSEE99stata\Distribution2Games.csv
        arr= xlsread('F:\CycleFT0801\RPSEE99stata\Distribution2Games.csv') ;
        arr=[arr(:,1) arr arr(:,6)/7200];

Algorithm for Nash Distribution of Population Size N=9

eachPopulationSize=9;
       S28a=[]; k=0; a11=1; a12=1/2; a21=0; a22=sqrt(3)/2;
        for i=0:1:eachPopulationSize
            for j=0:1:eachPopulationSize-i
                k=k+1;
                S28a=[S28a; i j eachPopulationSize-i-j  ...
                    nchoosek(eachPopulationSize,i)*nchoosek(eachPopulationSize-i,j) k ...
                    i*a11+j*a12  i*a21+j*a22];
            end
        end
a=sum(S28a(:,4));
S28b=[S28a S28a(:,4)/a]




NashDis55=[];
for game=1:2
        for i =1:length(S28b(:,1))
            em=[game 1 zeros(1,6)];
            t=find(arr(:,3)==S28b(i,1) & arr(:,3+1)==S28b(i,1+1) ...
                & arr(:,3+1+1)==S28b(i,1+1+1) & arr(:,1)==game);
            if length(t) > 0
                NashDis55=[NashDis55; arr(t,:)  S28b(i,:)];
            else
                NashDis55=[NashDis55;  em S28b(i,:)] ;
            end
        end
end
S28b =

  1.0e+003 *

  Columns 1 through 3

                   0                   0   0.009000000000000
                   0   0.001000000000000   0.008000000000000
                   0   0.002000000000000   0.007000000000000
                   0   0.003000000000000   0.006000000000000
                   0   0.004000000000000   0.005000000000000
                   0   0.005000000000000   0.004000000000000
                   0   0.006000000000000   0.003000000000000
                   0   0.007000000000000   0.002000000000000
                   0   0.008000000000000   0.001000000000000
                   0   0.009000000000000                   0
   0.001000000000000                   0   0.008000000000000
   0.001000000000000   0.001000000000000   0.007000000000000
   0.001000000000000   0.002000000000000   0.006000000000000
   0.001000000000000   0.003000000000000   0.005000000000000
   0.001000000000000   0.004000000000000   0.004000000000000
   0.001000000000000   0.005000000000000   0.003000000000000
   0.001000000000000   0.006000000000000   0.002000000000000
   0.001000000000000   0.007000000000000   0.001000000000000
   0.001000000000000   0.008000000000000                   0
   0.002000000000000                   0   0.007000000000000
   0.002000000000000   0.001000000000000   0.006000000000000
   0.002000000000000   0.002000000000000   0.005000000000000
   0.002000000000000   0.003000000000000   0.004000000000000
   0.002000000000000   0.004000000000000   0.003000000000000
   0.002000000000000   0.005000000000000   0.002000000000000
   0.002000000000000   0.006000000000000   0.001000000000000
   0.002000000000000   0.007000000000000                   0
   0.003000000000000                   0   0.006000000000000
   0.003000000000000   0.001000000000000   0.005000000000000
   0.003000000000000   0.002000000000000   0.004000000000000
   0.003000000000000   0.003000000000000   0.003000000000000
   0.003000000000000   0.004000000000000   0.002000000000000
   0.003000000000000   0.005000000000000   0.001000000000000
   0.003000000000000   0.006000000000000                   0
   0.004000000000000                   0   0.005000000000000
   0.004000000000000   0.001000000000000   0.004000000000000
   0.004000000000000   0.002000000000000   0.003000000000000
   0.004000000000000   0.003000000000000   0.002000000000000
   0.004000000000000   0.004000000000000   0.001000000000000
   0.004000000000000   0.005000000000000                   0
   0.005000000000000                   0   0.004000000000000
   0.005000000000000   0.001000000000000   0.003000000000000
   0.005000000000000   0.002000000000000   0.002000000000000
   0.005000000000000   0.003000000000000   0.001000000000000
   0.005000000000000   0.004000000000000                   0
   0.006000000000000                   0   0.003000000000000
   0.006000000000000   0.001000000000000   0.002000000000000
   0.006000000000000   0.002000000000000   0.001000000000000
   0.006000000000000   0.003000000000000                   0
   0.007000000000000                   0   0.002000000000000
   0.007000000000000   0.001000000000000   0.001000000000000
   0.007000000000000   0.002000000000000                   0
   0.008000000000000                   0   0.001000000000000
   0.008000000000000   0.001000000000000                   0
   0.009000000000000                   0                   0

  Columns 4 through 6

   0.001000000000000   0.001000000000000                   0
   0.009000000000000   0.002000000000000   0.000500000000000
   0.036000000000000   0.003000000000000   0.001000000000000
   0.084000000000000   0.004000000000000   0.001500000000000
   0.126000000000000   0.005000000000000   0.002000000000000
   0.126000000000000   0.006000000000000   0.002500000000000
   0.084000000000000   0.007000000000000   0.003000000000000
   0.036000000000000   0.008000000000000   0.003500000000000
   0.009000000000000   0.009000000000000   0.004000000000000
   0.001000000000000   0.010000000000000   0.004500000000000
   0.009000000000000   0.011000000000000   0.001000000000000
   0.072000000000000   0.012000000000000   0.001500000000000
   0.252000000000000   0.013000000000000   0.002000000000000
   0.504000000000000   0.014000000000000   0.002500000000000
   0.630000000000000   0.015000000000000   0.003000000000000
   0.504000000000000   0.016000000000000   0.003500000000000
   0.252000000000000   0.017000000000000   0.004000000000000
   0.072000000000000   0.018000000000000   0.004500000000000
   0.009000000000000   0.019000000000000   0.005000000000000
   0.036000000000000   0.020000000000000   0.002000000000000
   0.252000000000000   0.021000000000000   0.002500000000000
   0.756000000000000   0.022000000000000   0.003000000000000
   1.260000000000000   0.023000000000000   0.003500000000000
   1.260000000000000   0.024000000000000   0.004000000000000
   0.756000000000000   0.025000000000000   0.004500000000000
   0.252000000000000   0.026000000000000   0.005000000000000
   0.036000000000000   0.027000000000000   0.005500000000000
   0.084000000000000   0.028000000000000   0.003000000000000
   0.504000000000000   0.029000000000000   0.003500000000000
   1.260000000000000   0.030000000000000   0.004000000000000
   1.680000000000000   0.031000000000000   0.004500000000000
   1.260000000000000   0.032000000000000   0.005000000000000
   0.504000000000000   0.033000000000000   0.005500000000000
   0.084000000000000   0.034000000000000   0.006000000000000
   0.126000000000000   0.035000000000000   0.004000000000000
   0.630000000000000   0.036000000000000   0.004500000000000
   1.260000000000000   0.037000000000000   0.005000000000000
   1.260000000000000   0.038000000000000   0.005500000000000
   0.630000000000000   0.039000000000000   0.006000000000000
   0.126000000000000   0.040000000000000   0.006500000000000
   0.126000000000000   0.041000000000000   0.005000000000000
   0.504000000000000   0.042000000000000   0.005500000000000
   0.756000000000000   0.043000000000000   0.006000000000000
   0.504000000000000   0.044000000000000   0.006500000000000
   0.126000000000000   0.045000000000000   0.007000000000000
   0.084000000000000   0.046000000000000   0.006000000000000
   0.252000000000000   0.047000000000000   0.006500000000000
   0.252000000000000   0.048000000000000   0.007000000000000
   0.084000000000000   0.049000000000000   0.007500000000000
   0.036000000000000   0.050000000000000   0.007000000000000
   0.072000000000000   0.051000000000000   0.007500000000000
   0.036000000000000   0.052000000000000   0.008000000000000
   0.009000000000000   0.053000000000000   0.008000000000000
   0.009000000000000   0.054000000000000   0.008500000000000
   0.001000000000000   0.055000000000000   0.009000000000000

  Columns 7 through 8

                   0   0.000000050805263
   0.000866025403784   0.000000457247371
   0.001732050807569   0.000001828989483
   0.002598076211353   0.000004267642128
   0.003464101615138   0.000006401463192
   0.004330127018922   0.000006401463192
   0.005196152422707   0.000004267642128
   0.006062177826491   0.000001828989483
   0.006928203230276   0.000000457247371
   0.007794228634060   0.000000050805263
                   0   0.000000457247371
   0.000866025403784   0.000003657978967
   0.001732050807569   0.000012802926383
   0.002598076211353   0.000025605852766
   0.003464101615138   0.000032007315958
   0.004330127018922   0.000025605852766
   0.005196152422707   0.000012802926383
   0.006062177826491   0.000003657978967
   0.006928203230276   0.000000457247371
                   0   0.000001828989483
   0.000866025403784   0.000012802926383
   0.001732050807569   0.000038408779150
   0.002598076211353   0.000064014631916
   0.003464101615138   0.000064014631916
   0.004330127018922   0.000038408779150
   0.005196152422707   0.000012802926383
   0.006062177826491   0.000001828989483
                   0   0.000004267642128
   0.000866025403784   0.000025605852766
   0.001732050807569   0.000064014631916
   0.002598076211353   0.000085352842554
   0.003464101615138   0.000064014631916
   0.004330127018922   0.000025605852766
   0.005196152422707   0.000004267642128
                   0   0.000006401463192
   0.000866025403784   0.000032007315958
   0.001732050807569   0.000064014631916
   0.002598076211353   0.000064014631916
   0.003464101615138   0.000032007315958
   0.004330127018922   0.000006401463192
                   0   0.000006401463192
   0.000866025403784   0.000025605852766
   0.001732050807569   0.000038408779150
   0.002598076211353   0.000025605852766
   0.003464101615138   0.000006401463192
                   0   0.000004267642128
   0.000866025403784   0.000012802926383
   0.001732050807569   0.000012802926383
   0.002598076211353   0.000004267642128
                   0   0.000001828989483
   0.000866025403784   0.000003657978967
   0.001732050807569   0.000001828989483
                   0   0.000000457247371
   0.000866025403784   0.000000457247371
                   0   0.000000050805263

Algorithm for Nash Amplitude

            c=NashDis55(NashDis55(:,1)==1,:);
            NashAmplitude=0;
            for k=1:55;
                NashAmplitude=NashAmplitude+c(k,16)*sqrt((c(k,9)-3)^2 + (c(k,10)-3)^2 + (c(k,11)-3)^2)/9 ;
            end
            strcat('Nash Amplitude (N=9) =', num2str(NashAmplitude))
ans =

Nash Amplitude (N=9) =0.2403

Algorithm for Observed Amplitude

b=NashDis55;
ObservedAmplitude=[0;0];
        for game=1:2
                a=b(b(:,1)==game,:);
             for k=1:length(a(:,1))
                 ObservedAmplitude(game)=ObservedAmplitude(game)+a(k,16-8)*sqrt((a(k,9-6)-3)^2 + (a(k,10-6)-3)^2 + (a(k,11-6)-3)^2)/9 ;
             end
        end
        'ObservedAmplitude of Game-1, game-2',ObservedAmplitude
ans =

ObservedAmplitude of Game-1, game-2


ObservedAmplitude =

   0.139983492403081
   0.192365857070523

Algorithm for Figure 2

b=NashDis55;
        for game=1:2
                a=b(b(:,1)==game,:);
             for k=1:length(a(:,1))
                 disD=a(k,8)-a(k,16);
                 textDis=round(disD*100);
            %      if textDis==0;textDisr='';else textDisr= num2str(textDis);end
            if textDis > 0; symD='+'; else; symD='';end
                 if abs(textDis) < 1;textDisr='';else textDisr= strcat(symD, num2str(textDis));end
            %      if a(k,2)==1; InfoStr=', CI'; else InfoStr=', II';end
                 if disD > 0; co=[1.00,0.2,0.2]; else co=[0.2,0.2,1.00] ;end
            %       subplot(2,2,(a(k,1)) + (a(k,2)-1)*2);
                          plot(a(k,14),a(k,15),'ro',  'Color', co ,'MarkerSize',sqrt(abs(disD)*10)*40,'MarkerFaceColor',co);hold on;
                          text(a(k,14)-0.1,a(k,15)-0.2,textDisr,'fontsize',20);hold on;
                          plot(a(k,14),a(k,15),'k.');hold on;
                          axis([0 9 0 9]); axis off
                          axis square;
            box off
             end
                          text(0,5.7,strcat( 'Game-',num2str(game)),'fontsize',30);
             text(-0.4,-0.2, 'S','fontsize',35)
             text(9.1,-0.2, 'R','fontsize',35)
             text(4.4,8.2, 'P','fontsize',35)
            set(gcf,'papersize',[20 20],'paperposition',[0,0,20,20]);hold on;
set(gca,'FontSize',25,'linewidth',2);hold on
                                      pathTOsave= 'F:\CycleFT0801\RPSEE99stata\EE99latex\';
                                      saveas(gcf, strcat(pathTOsave, ...
                                          '\EE99' ,  strcat( 'Game-',num2str(game)), '.eps'),'psc2');
                                      saveas(gcf, strcat(pathTOsave, ...
                                          '\EE99' , strcat( 'Game-',num2str(game)), '.pdf'),'pdf');
                                      saveas(gcf, strcat(pathTOsave, ...
                                          '\EE99' , strcat( 'Game-',num2str(game)), '.jpg'),'jpg')

   figure()
            end %game=1:2
%             close

Roubustness: Plot 4 Treatments's distribution

            plotIn4Trt(S28b)
game =

     1


info =

     1


a =

  1.0e+003 *

  Columns 1 through 3

   0.001000000000000   0.001000000000000                   0
   0.001000000000000   0.001000000000000                   0
   0.001000000000000   0.001000000000000                   0
   0.001000000000000   0.001000000000000                   0
   0.001000000000000   0.001000000000000                   0
   0.001000000000000   0.001000000000000                   0
   0.001000000000000   0.001000000000000                   0
   0.001000000000000   0.001000000000000                   0
   0.001000000000000   0.001000000000000                   0
   0.001000000000000   0.001000000000000                   0
   0.001000000000000   0.001000000000000                   0
   0.001000000000000   0.001000000000000   0.001000000000000
   0.001000000000000   0.001000000000000   0.001000000000000
   0.001000000000000   0.001000000000000   0.001000000000000
   0.001000000000000   0.001000000000000   0.001000000000000
   0.001000000000000   0.001000000000000   0.001000000000000
   0.001000000000000   0.001000000000000   0.001000000000000
   0.001000000000000   0.001000000000000   0.001000000000000
   0.001000000000000   0.001000000000000                   0
   0.001000000000000   0.001000000000000   0.002000000000000
   0.001000000000000   0.001000000000000   0.002000000000000
   0.001000000000000   0.001000000000000   0.002000000000000
   0.001000000000000   0.001000000000000   0.002000000000000
   0.001000000000000   0.001000000000000   0.002000000000000
   0.001000000000000   0.001000000000000   0.002000000000000
   0.001000000000000   0.001000000000000   0.002000000000000
   0.001000000000000   0.001000000000000   0.002000000000000
   0.001000000000000   0.001000000000000   0.003000000000000
   0.001000000000000   0.001000000000000   0.003000000000000
   0.001000000000000   0.001000000000000   0.003000000000000
   0.001000000000000   0.001000000000000   0.003000000000000
   0.001000000000000   0.001000000000000   0.003000000000000
   0.001000000000000   0.001000000000000   0.003000000000000
   0.001000000000000   0.001000000000000   0.003000000000000
   0.001000000000000   0.001000000000000   0.004000000000000
   0.001000000000000   0.001000000000000   0.004000000000000
   0.001000000000000   0.001000000000000   0.004000000000000
   0.001000000000000   0.001000000000000   0.004000000000000
   0.001000000000000   0.001000000000000   0.004000000000000
   0.001000000000000   0.001000000000000   0.004000000000000
   0.001000000000000   0.001000000000000   0.005000000000000
   0.001000000000000   0.001000000000000   0.005000000000000
   0.001000000000000   0.001000000000000   0.005000000000000
   0.001000000000000   0.001000000000000   0.005000000000000
   0.001000000000000   0.001000000000000   0.005000000000000
   0.001000000000000   0.001000000000000   0.006000000000000
   0.001000000000000   0.001000000000000   0.006000000000000
   0.001000000000000   0.001000000000000   0.006000000000000
   0.001000000000000   0.001000000000000   0.006000000000000
   0.001000000000000   0.001000000000000   0.007000000000000
   0.001000000000000   0.001000000000000   0.007000000000000
   0.001000000000000   0.001000000000000   0.007000000000000
   0.001000000000000   0.001000000000000                   0
   0.001000000000000   0.001000000000000                   0
   0.001000000000000   0.001000000000000                   0

  Columns 4 through 6

                   0                   0                   0
                   0                   0                   0
   0.002000000000000   0.007000000000000   0.001000000000000
   0.003000000000000   0.006000000000000   0.007000000000000
   0.004000000000000   0.005000000000000   0.013000000000000
   0.005000000000000   0.004000000000000   0.016000000000000
   0.006000000000000   0.003000000000000   0.009000000000000
   0.007000000000000   0.002000000000000   0.002000000000000
                   0                   0                   0
                   0                   0                   0
                   0                   0                   0
   0.001000000000000   0.007000000000000   0.002000000000000
   0.002000000000000   0.006000000000000   0.021000000000000
   0.003000000000000   0.005000000000000   0.094000000000000
   0.004000000000000   0.004000000000000   0.160000000000000
   0.005000000000000   0.003000000000000   0.109000000000000
   0.006000000000000   0.002000000000000   0.027000000000000
   0.007000000000000   0.001000000000000   0.003000000000000
                   0                   0                   0
                   0   0.007000000000000   0.001000000000000
   0.001000000000000   0.006000000000000   0.026000000000000
   0.002000000000000   0.005000000000000   0.175000000000000
   0.003000000000000   0.004000000000000   0.564000000000000
   0.004000000000000   0.003000000000000   0.551000000000000
   0.005000000000000   0.002000000000000   0.189000000000000
   0.006000000000000   0.001000000000000   0.027000000000000
   0.007000000000000                   0   0.001000000000000
                   0   0.006000000000000   0.004000000000000
   0.001000000000000   0.005000000000000   0.070000000000000
   0.002000000000000   0.004000000000000   0.519000000000000
   0.003000000000000   0.003000000000000   1.017000000000000
   0.004000000000000   0.002000000000000   0.477000000000000
   0.005000000000000   0.001000000000000   0.086000000000000
   0.006000000000000                   0   0.002000000000000
                   0   0.005000000000000   0.014000000000000
   0.001000000000000   0.004000000000000   0.136000000000000
   0.002000000000000   0.003000000000000   0.583000000000000
   0.003000000000000   0.002000000000000   0.491000000000000
   0.004000000000000   0.001000000000000   0.114000000000000
   0.005000000000000                   0   0.007000000000000
                   0   0.004000000000000   0.014000000000000
   0.001000000000000   0.003000000000000   0.110000000000000
   0.002000000000000   0.002000000000000   0.223000000000000
   0.003000000000000   0.001000000000000   0.091000000000000
   0.004000000000000                   0   0.006000000000000
                   0   0.003000000000000   0.006000000000000
   0.001000000000000   0.002000000000000   0.040000000000000
   0.002000000000000   0.001000000000000   0.032000000000000
   0.003000000000000                   0   0.007000000000000
                   0   0.002000000000000   0.003000000000000
   0.001000000000000   0.001000000000000   0.003000000000000
   0.002000000000000                   0   0.001000000000000
                   0                   0                   0
                   0                   0                   0
                   0                   0                   0

  Columns 7 through 9

                   0                   0                   0
                   0                   0   0.001000000000000
   0.000000075059417                   0   0.002000000000000
   0.000000561512028                   0   0.003000000000000
   0.000001553919058                   0   0.004000000000000
   0.000001820757976                   0   0.005000000000000
   0.000000842268181                   0   0.006000000000000
   0.000000289090760                   0   0.007000000000000
                   0                   0   0.008000000000000
                   0                   0   0.009000000000000
                   0   0.001000000000000                   0
   0.000000152883323   0.001000000000000   0.001000000000000
   0.000002704693356   0.001000000000000   0.002000000000000
   0.000012839848569   0.001000000000000   0.003000000000000
   0.000023100055138   0.001000000000000   0.004000000000000
   0.000014335218838   0.001000000000000   0.005000000000000
   0.000003997367520   0.001000000000000   0.006000000000000
   0.000000230709342   0.001000000000000   0.007000000000000
                   0   0.001000000000000   0.008000000000000
   0.000000211265826   0.002000000000000                   0
   0.000003480337216   0.002000000000000   0.001000000000000
   0.000023550248468   0.002000000000000   0.002000000000000
   0.000093047413946   0.002000000000000   0.003000000000000
   0.000078881972808   0.002000000000000   0.004000000000000
   0.000025910321392   0.002000000000000   0.005000000000000
   0.000003096633387   0.002000000000000   0.006000000000000
   0.000000047259945   0.002000000000000   0.007000000000000
   0.000000291869148   0.003000000000000                   0
   0.000008817451932   0.003000000000000   0.001000000000000
   0.000087398989151   0.003000000000000   0.002000000000000
   0.000235861076002   0.003000000000000   0.003000000000000
   0.000070731219968   0.003000000000000   0.004000000000000
   0.000012136592621   0.003000000000000   0.005000000000000
   0.000000138997361   0.003000000000000   0.006000000000000
   0.000002296099120   0.004000000000000                   0
   0.000021343202305   0.004000000000000   0.001000000000000
   0.000096652924549   0.004000000000000   0.002000000000000
   0.000084168998711   0.004000000000000   0.003000000000000
   0.000015550026148   0.004000000000000   0.004000000000000
   0.000000644918978   0.004000000000000   0.005000000000000
   0.000001384336498   0.005000000000000                   0
   0.000013320675049   0.005000000000000   0.001000000000000
   0.000033210003606   0.005000000000000   0.002000000000000
   0.000012895346830   0.005000000000000   0.003000000000000
   0.000000747773531   0.005000000000000   0.004000000000000
   0.000000289092984   0.006000000000000                   0
   0.000004628343689   0.006000000000000   0.001000000000000
   0.000004611676142   0.006000000000000   0.002000000000000
   0.000001264786879   0.006000000000000   0.003000000000000
   0.000000414201047   0.007000000000000                   0
   0.000000302994652   0.007000000000000   0.001000000000000
   0.000000169566604   0.007000000000000   0.002000000000000
                   0   0.008000000000000                   0
                   0   0.008000000000000   0.001000000000000
                   0   0.009000000000000                   0

  Columns 10 through 12

   0.009000000000000   0.001000000000000   0.001000000000000
   0.008000000000000   0.009000000000000   0.002000000000000
   0.007000000000000   0.036000000000000   0.003000000000000
   0.006000000000000   0.084000000000000   0.004000000000000
   0.005000000000000   0.126000000000000   0.005000000000000
   0.004000000000000   0.126000000000000   0.006000000000000
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                   0   0.036000000000000   0.027000000000000
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                   0   0.084000000000000   0.034000000000000
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                   0   0.126000000000000   0.040000000000000
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                   0   0.126000000000000   0.045000000000000
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                   0   0.036000000000000   0.052000000000000
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                   0   0.009000000000000   0.054000000000000
                   0   0.001000000000000   0.055000000000000

  Columns 13 through 15

                   0                   0   0.000000050805263
   0.000500000000000   0.000866025403784   0.000000457247371
   0.001000000000000   0.001732050807569   0.000001828989483
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   0.002000000000000   0.003464101615138   0.000006401463192
   0.002500000000000   0.004330127018922   0.000006401463192
   0.003000000000000   0.005196152422707   0.000004267642128
   0.003500000000000   0.006062177826491   0.000001828989483
   0.004000000000000   0.006928203230276   0.000000457247371
   0.004500000000000   0.007794228634060   0.000000050805263
   0.001000000000000                   0   0.000000457247371
   0.001500000000000   0.000866025403784   0.000003657978967
   0.002000000000000   0.001732050807569   0.000012802926383
   0.002500000000000   0.002598076211353   0.000025605852766
   0.003000000000000   0.003464101615138   0.000032007315958
   0.003500000000000   0.004330127018922   0.000025605852766
   0.004000000000000   0.005196152422707   0.000012802926383
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   0.002000000000000                   0   0.000001828989483
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   0.006500000000000   0.000866025403784   0.000012802926383
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   0.009000000000000                   0   0.000000050805263


game =

     1


info =

     2


a =

  1.0e+003 *

  Columns 1 through 3

   0.001000000000000   0.002000000000000                   0
   0.001000000000000   0.002000000000000                   0
   0.001000000000000   0.002000000000000                   0
   0.001000000000000   0.002000000000000                   0
   0.001000000000000   0.002000000000000                   0
   0.001000000000000   0.002000000000000                   0
   0.001000000000000   0.002000000000000                   0
   0.001000000000000   0.002000000000000                   0
   0.001000000000000   0.002000000000000                   0
   0.001000000000000   0.002000000000000                   0
   0.001000000000000   0.002000000000000                   0
   0.001000000000000   0.002000000000000   0.001000000000000
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   0.001000000000000   0.002000000000000                   0
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   0.001000000000000   0.002000000000000                   0
   0.001000000000000   0.002000000000000                   0
   0.001000000000000   0.002000000000000                   0

  Columns 4 through 6

                   0                   0                   0
                   0                   0                   0
                   0                   0                   0
                   0                   0                   0
   0.004000000000000   0.005000000000000   0.003000000000000
   0.005000000000000   0.004000000000000   0.001000000000000
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                   0                   0                   0
                   0                   0                   0
                   0                   0                   0
   0.001000000000000   0.007000000000000   0.002000000000000
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   0.004000000000000   0.004000000000000   0.058000000000000
   0.005000000000000   0.003000000000000   0.041000000000000
   0.006000000000000   0.002000000000000   0.009000000000000
                   0                   0                   0
                   0                   0                   0
                   0   0.007000000000000   0.001000000000000
   0.001000000000000   0.006000000000000   0.011000000000000
   0.002000000000000   0.005000000000000   0.110000000000000
   0.003000000000000   0.004000000000000   0.398000000000000
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                   0                   0                   0
                   0   0.006000000000000   0.003000000000000
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                   0                   0                   0
                   0   0.005000000000000   0.002000000000000
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                   0                   0                   0
                   0   0.004000000000000   0.004000000000000
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   0.004000000000000                   0   0.003000000000000
                   0   0.003000000000000   0.001000000000000
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                   0                   0                   0
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                   0                   0                   0
                   0                   0                   0
                   0                   0                   0
                   0                   0                   0

  Columns 7 through 9

                   0                   0                   0
                   0                   0   0.001000000000000
                   0                   0   0.002000000000000
                   0                   0   0.003000000000000
   0.000000685972803                   0   0.004000000000000
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   0.000000122199141                   0   0.006000000000000
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                   0                   0   0.008000000000000
                   0                   0   0.009000000000000
                   0   0.001000000000000                   0
   0.000000380478005   0.001000000000000   0.001000000000000
   0.000001138682048   0.001000000000000   0.002000000000000
   0.000007215278379   0.001000000000000   0.003000000000000
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                   0   0.001000000000000   0.007000000000000
                   0   0.001000000000000   0.008000000000000
   0.000000197190013   0.002000000000000                   0
   0.000001827419036   0.002000000000000   0.001000000000000
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                   0   0.002000000000000   0.007000000000000
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                   0   0.003000000000000   0.006000000000000
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                   0   0.004000000000000   0.005000000000000
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                   0   0.007000000000000                   0
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                   0   0.007000000000000   0.002000000000000
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                   0   0.008000000000000   0.001000000000000
                   0   0.009000000000000                   0

  Columns 10 through 12

   0.009000000000000   0.001000000000000   0.001000000000000
   0.008000000000000   0.009000000000000   0.002000000000000
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   0.003000000000000   0.084000000000000   0.007000000000000
   0.002000000000000   0.036000000000000   0.008000000000000
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                   0   0.001000000000000   0.010000000000000
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   0.007000000000000   0.072000000000000   0.012000000000000
   0.006000000000000   0.252000000000000   0.013000000000000
   0.005000000000000   0.504000000000000   0.014000000000000
   0.004000000000000   0.630000000000000   0.015000000000000
   0.003000000000000   0.504000000000000   0.016000000000000
   0.002000000000000   0.252000000000000   0.017000000000000
   0.001000000000000   0.072000000000000   0.018000000000000
                   0   0.009000000000000   0.019000000000000
   0.007000000000000   0.036000000000000   0.020000000000000
   0.006000000000000   0.252000000000000   0.021000000000000
   0.005000000000000   0.756000000000000   0.022000000000000
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   0.002000000000000   0.756000000000000   0.025000000000000
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                   0   0.036000000000000   0.027000000000000
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   0.005000000000000   0.504000000000000   0.029000000000000
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                   0   0.084000000000000   0.034000000000000
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                   0   0.126000000000000   0.040000000000000
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                   0   0.036000000000000   0.052000000000000
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                   0   0.001000000000000   0.055000000000000

  Columns 13 through 15

                   0                   0   0.000000050805263
   0.000500000000000   0.000866025403784   0.000000457247371
   0.001000000000000   0.001732050807569   0.000001828989483
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   0.009000000000000                   0   0.000000050805263


game =

     2


info =

     1


a =

  1.0e+003 *

  Columns 1 through 3

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   0.002000000000000   0.001000000000000                   0
   0.002000000000000   0.001000000000000                   0
   0.002000000000000   0.001000000000000                   0
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   0.002000000000000   0.001000000000000   0.002000000000000
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   0.002000000000000   0.001000000000000   0.003000000000000
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   0.002000000000000   0.001000000000000                   0
   0.002000000000000   0.001000000000000   0.008000000000000
   0.002000000000000   0.001000000000000                   0

  Columns 4 through 6

                   0                   0                   0
                   0                   0                   0
   0.002000000000000   0.007000000000000   0.006000000000000
   0.003000000000000   0.006000000000000   0.010000000000000
   0.004000000000000   0.005000000000000   0.020000000000000
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   0.006000000000000   0.003000000000000   0.009000000000000
   0.007000000000000   0.002000000000000   0.004000000000000
   0.008000000000000   0.001000000000000   0.001000000000000
                   0                   0                   0
                   0                   0                   0
   0.001000000000000   0.007000000000000   0.003000000000000
   0.002000000000000   0.006000000000000   0.041000000000000
   0.003000000000000   0.005000000000000   0.129000000000000
   0.004000000000000   0.004000000000000   0.167000000000000
   0.005000000000000   0.003000000000000   0.121000000000000
   0.006000000000000   0.002000000000000   0.058000000000000
   0.007000000000000   0.001000000000000   0.012000000000000
   0.008000000000000                   0   0.002000000000000
                   0                   0                   0
   0.001000000000000   0.006000000000000   0.029000000000000
   0.002000000000000   0.005000000000000   0.166000000000000
   0.003000000000000   0.004000000000000   0.422000000000000
   0.004000000000000   0.003000000000000   0.411000000000000
   0.005000000000000   0.002000000000000   0.195000000000000
   0.006000000000000   0.001000000000000   0.053000000000000
   0.007000000000000                   0   0.007000000000000
                   0   0.006000000000000   0.003000000000000
   0.001000000000000   0.005000000000000   0.105000000000000
   0.002000000000000   0.004000000000000   0.435000000000000
   0.003000000000000   0.003000000000000   0.646000000000000
   0.004000000000000   0.002000000000000   0.416000000000000
   0.005000000000000   0.001000000000000   0.121000000000000
   0.006000000000000                   0   0.011000000000000
                   0   0.005000000000000   0.012000000000000
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   0.002000000000000   0.003000000000000   0.489000000000000
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   0.005000000000000                   0   0.018000000000000
                   0   0.004000000000000   0.013000000000000
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   0.002000000000000   0.002000000000000   0.228000000000000
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   0.004000000000000                   0   0.027000000000000
                   0   0.003000000000000   0.008000000000000
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                   0   0.002000000000000   0.004000000000000
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   0.002000000000000                   0   0.002000000000000
                   0                   0                   0
   0.001000000000000                   0   0.002000000000000
                   0                   0                   0

  Columns 7 through 9

                   0                   0                   0
                   0                   0   0.001000000000000
   0.000001127497192                   0   0.002000000000000
   0.000001233003071                   0   0.003000000000000
   0.000004315578509                   0   0.004000000000000
   0.000002491083623                   0   0.005000000000000
   0.000001121958824                   0   0.006000000000000
   0.000000488763591                   0   0.007000000000000
   0.000000213837817                   0   0.008000000000000
                   0                   0   0.009000000000000
                   0   0.001000000000000                   0
   0.000000399902810   0.001000000000000   0.001000000000000
   0.000005623608797   0.001000000000000   0.002000000000000
   0.000020547705456   0.001000000000000   0.003000000000000
   0.000027968219493   0.001000000000000   0.004000000000000
   0.000016543184251   0.001000000000000   0.005000000000000
   0.000007562084990   0.001000000000000   0.006000000000000
   0.000001233062223   0.001000000000000   0.007000000000000
   0.000000291592062   0.001000000000000   0.008000000000000
                   0   0.002000000000000                   0
   0.000004079583414   0.002000000000000   0.001000000000000
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   0.000076392300225   0.002000000000000   0.004000000000000
   0.000029817711880   0.002000000000000   0.005000000000000
   0.000007206599656   0.002000000000000   0.006000000000000
   0.000001085834042   0.002000000000000   0.007000000000000
   0.000000488763591   0.003000000000000                   0
   0.000017426279514   0.003000000000000   0.001000000000000
   0.000081641239489   0.003000000000000   0.002000000000000
   0.000161060466531   0.003000000000000   0.003000000000000
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   0.000016346024108   0.003000000000000   0.005000000000000
   0.000001719050381   0.003000000000000   0.006000000000000
   0.000001824534876   0.004000000000000                   0
   0.000031220174642   0.004000000000000   0.001000000000000
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   0.000022541587551   0.004000000000000   0.004000000000000
   0.000001913420928   0.004000000000000   0.005000000000000
   0.000002674322169   0.005000000000000                   0
   0.000022483335123   0.005000000000000   0.001000000000000
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   0.000000719305852   0.006000000000000                   0
   0.000007928631509   0.006000000000000   0.001000000000000
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   0.000002704934131   0.007000000000000   0.001000000000000
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                   0   0.008000000000000                   0
   0.000000152737057   0.008000000000000   0.001000000000000
                   0   0.009000000000000                   0

  Columns 10 through 12

   0.009000000000000   0.001000000000000   0.001000000000000
   0.008000000000000   0.009000000000000   0.002000000000000
   0.007000000000000   0.036000000000000   0.003000000000000
   0.006000000000000   0.084000000000000   0.004000000000000
   0.005000000000000   0.126000000000000   0.005000000000000
   0.004000000000000   0.126000000000000   0.006000000000000
   0.003000000000000   0.084000000000000   0.007000000000000
   0.002000000000000   0.036000000000000   0.008000000000000
   0.001000000000000   0.009000000000000   0.009000000000000
                   0   0.001000000000000   0.010000000000000
   0.008000000000000   0.009000000000000   0.011000000000000
   0.007000000000000   0.072000000000000   0.012000000000000
   0.006000000000000   0.252000000000000   0.013000000000000
   0.005000000000000   0.504000000000000   0.014000000000000
   0.004000000000000   0.630000000000000   0.015000000000000
   0.003000000000000   0.504000000000000   0.016000000000000
   0.002000000000000   0.252000000000000   0.017000000000000
   0.001000000000000   0.072000000000000   0.018000000000000
                   0   0.009000000000000   0.019000000000000
   0.007000000000000   0.036000000000000   0.020000000000000
   0.006000000000000   0.252000000000000   0.021000000000000
   0.005000000000000   0.756000000000000   0.022000000000000
   0.004000000000000   1.260000000000000   0.023000000000000
   0.003000000000000   1.260000000000000   0.024000000000000
   0.002000000000000   0.756000000000000   0.025000000000000
   0.001000000000000   0.252000000000000   0.026000000000000
                   0   0.036000000000000   0.027000000000000
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   0.005000000000000   0.504000000000000   0.029000000000000
   0.004000000000000   1.260000000000000   0.030000000000000
   0.003000000000000   1.680000000000000   0.031000000000000
   0.002000000000000   1.260000000000000   0.032000000000000
   0.001000000000000   0.504000000000000   0.033000000000000
                   0   0.084000000000000   0.034000000000000
   0.005000000000000   0.126000000000000   0.035000000000000
   0.004000000000000   0.630000000000000   0.036000000000000
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   0.002000000000000   1.260000000000000   0.038000000000000
   0.001000000000000   0.630000000000000   0.039000000000000
                   0   0.126000000000000   0.040000000000000
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                   0   0.126000000000000   0.045000000000000
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                   0   0.084000000000000   0.049000000000000
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                   0   0.036000000000000   0.052000000000000
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                   0   0.009000000000000   0.054000000000000
                   0   0.001000000000000   0.055000000000000

  Columns 13 through 15

                   0                   0   0.000000050805263
   0.000500000000000   0.000866025403784   0.000000457247371
   0.001000000000000   0.001732050807569   0.000001828989483
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   0.003000000000000   0.005196152422707   0.000004267642128
   0.003500000000000   0.006062177826491   0.000001828989483
   0.004000000000000   0.006928203230276   0.000000457247371
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   0.001500000000000   0.000866025403784   0.000003657978967
   0.002000000000000   0.001732050807569   0.000012802926383
   0.002500000000000   0.002598076211353   0.000025605852766
   0.003000000000000   0.003464101615138   0.000032007315958
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   0.004000000000000   0.005196152422707   0.000012802926383
   0.004500000000000   0.006062177826491   0.000003657978967
   0.005000000000000   0.006928203230276   0.000000457247371
   0.002000000000000                   0   0.000001828989483
   0.002500000000000   0.000866025403784   0.000012802926383
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   0.005000000000000   0.003464101615138   0.000064014631916
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   0.007000000000000   0.003464101615138   0.000006401463192
   0.006000000000000                   0   0.000004267642128
   0.006500000000000   0.000866025403784   0.000012802926383
   0.007000000000000   0.001732050807569   0.000012802926383
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   0.008000000000000                   0   0.000000457247371
   0.008500000000000   0.000866025403784   0.000000457247371
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game =

     2


info =

     2


a =

  1.0e+003 *

  Columns 1 through 3

   0.002000000000000   0.002000000000000                   0
   0.002000000000000   0.002000000000000                   0
   0.002000000000000   0.002000000000000                   0
   0.002000000000000   0.002000000000000                   0
   0.002000000000000   0.002000000000000                   0
   0.002000000000000   0.002000000000000                   0
   0.002000000000000   0.002000000000000                   0
   0.002000000000000   0.002000000000000                   0
   0.002000000000000   0.002000000000000                   0
   0.002000000000000   0.002000000000000                   0
   0.002000000000000   0.002000000000000                   0
   0.002000000000000   0.002000000000000   0.001000000000000
   0.002000000000000   0.002000000000000   0.001000000000000
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  Columns 4 through 6

                   0                   0                   0
                   0                   0                   0
   0.002000000000000   0.007000000000000   0.001000000000000
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                   0                   0                   0
                   0                   0                   0
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                   0                   0                   0
                   0   0.007000000000000   0.003000000000000
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                   0   0.006000000000000   0.010000000000000
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  Columns 7 through 9

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   0.000001141398364   0.006000000000000   0.003000000000000
   0.000001932907254   0.007000000000000                   0
   0.000001807920166   0.007000000000000   0.001000000000000
   0.000000994238549   0.007000000000000   0.002000000000000
   0.000000672064428   0.008000000000000                   0
   0.000000152739600   0.008000000000000   0.001000000000000
                   0   0.009000000000000                   0

  Columns 10 through 12

   0.009000000000000   0.001000000000000   0.001000000000000
   0.008000000000000   0.009000000000000   0.002000000000000
   0.007000000000000   0.036000000000000   0.003000000000000
   0.006000000000000   0.084000000000000   0.004000000000000
   0.005000000000000   0.126000000000000   0.005000000000000
   0.004000000000000   0.126000000000000   0.006000000000000
   0.003000000000000   0.084000000000000   0.007000000000000
   0.002000000000000   0.036000000000000   0.008000000000000
   0.001000000000000   0.009000000000000   0.009000000000000
                   0   0.001000000000000   0.010000000000000
   0.008000000000000   0.009000000000000   0.011000000000000
   0.007000000000000   0.072000000000000   0.012000000000000
   0.006000000000000   0.252000000000000   0.013000000000000
   0.005000000000000   0.504000000000000   0.014000000000000
   0.004000000000000   0.630000000000000   0.015000000000000
   0.003000000000000   0.504000000000000   0.016000000000000
   0.002000000000000   0.252000000000000   0.017000000000000
   0.001000000000000   0.072000000000000   0.018000000000000
                   0   0.009000000000000   0.019000000000000
   0.007000000000000   0.036000000000000   0.020000000000000
   0.006000000000000   0.252000000000000   0.021000000000000
   0.005000000000000   0.756000000000000   0.022000000000000
   0.004000000000000   1.260000000000000   0.023000000000000
   0.003000000000000   1.260000000000000   0.024000000000000
   0.002000000000000   0.756000000000000   0.025000000000000
   0.001000000000000   0.252000000000000   0.026000000000000
                   0   0.036000000000000   0.027000000000000
   0.006000000000000   0.084000000000000   0.028000000000000
   0.005000000000000   0.504000000000000   0.029000000000000
   0.004000000000000   1.260000000000000   0.030000000000000
   0.003000000000000   1.680000000000000   0.031000000000000
   0.002000000000000   1.260000000000000   0.032000000000000
   0.001000000000000   0.504000000000000   0.033000000000000
                   0   0.084000000000000   0.034000000000000
   0.005000000000000   0.126000000000000   0.035000000000000
   0.004000000000000   0.630000000000000   0.036000000000000
   0.003000000000000   1.260000000000000   0.037000000000000
   0.002000000000000   1.260000000000000   0.038000000000000
   0.001000000000000   0.630000000000000   0.039000000000000
                   0   0.126000000000000   0.040000000000000
   0.004000000000000   0.126000000000000   0.041000000000000
   0.003000000000000   0.504000000000000   0.042000000000000
   0.002000000000000   0.756000000000000   0.043000000000000
   0.001000000000000   0.504000000000000   0.044000000000000
                   0   0.126000000000000   0.045000000000000
   0.003000000000000   0.084000000000000   0.046000000000000
   0.002000000000000   0.252000000000000   0.047000000000000
   0.001000000000000   0.252000000000000   0.048000000000000
                   0   0.084000000000000   0.049000000000000
   0.002000000000000   0.036000000000000   0.050000000000000
   0.001000000000000   0.072000000000000   0.051000000000000
                   0   0.036000000000000   0.052000000000000
   0.001000000000000   0.009000000000000   0.053000000000000
                   0   0.009000000000000   0.054000000000000
                   0   0.001000000000000   0.055000000000000

  Columns 13 through 15

                   0                   0   0.000000050805263
   0.000500000000000   0.000866025403784   0.000000457247371
   0.001000000000000   0.001732050807569   0.000001828989483
   0.001500000000000   0.002598076211353   0.000004267642128
   0.002000000000000   0.003464101615138   0.000006401463192
   0.002500000000000   0.004330127018922   0.000006401463192
   0.003000000000000   0.005196152422707   0.000004267642128
   0.003500000000000   0.006062177826491   0.000001828989483
   0.004000000000000   0.006928203230276   0.000000457247371
   0.004500000000000   0.007794228634060   0.000000050805263
   0.001000000000000                   0   0.000000457247371
   0.001500000000000   0.000866025403784   0.000003657978967
   0.002000000000000   0.001732050807569   0.000012802926383
   0.002500000000000   0.002598076211353   0.000025605852766
   0.003000000000000   0.003464101615138   0.000032007315958
   0.003500000000000   0.004330127018922   0.000025605852766
   0.004000000000000   0.005196152422707   0.000012802926383
   0.004500000000000   0.006062177826491   0.000003657978967
   0.005000000000000   0.006928203230276   0.000000457247371
   0.002000000000000                   0   0.000001828989483
   0.002500000000000   0.000866025403784   0.000012802926383
   0.003000000000000   0.001732050807569   0.000038408779150
   0.003500000000000   0.002598076211353   0.000064014631916
   0.004000000000000   0.003464101615138   0.000064014631916
   0.004500000000000   0.004330127018922   0.000038408779150
   0.005000000000000   0.005196152422707   0.000012802926383
   0.005500000000000   0.006062177826491   0.000001828989483
   0.003000000000000                   0   0.000004267642128
   0.003500000000000   0.000866025403784   0.000025605852766
   0.004000000000000   0.001732050807569   0.000064014631916
   0.004500000000000   0.002598076211353   0.000085352842554
   0.005000000000000   0.003464101615138   0.000064014631916
   0.005500000000000   0.004330127018922   0.000025605852766
   0.006000000000000   0.005196152422707   0.000004267642128
   0.004000000000000                   0   0.000006401463192
   0.004500000000000   0.000866025403784   0.000032007315958
   0.005000000000000   0.001732050807569   0.000064014631916
   0.005500000000000   0.002598076211353   0.000064014631916
   0.006000000000000   0.003464101615138   0.000032007315958
   0.006500000000000   0.004330127018922   0.000006401463192
   0.005000000000000                   0   0.000006401463192
   0.005500000000000   0.000866025403784   0.000025605852766
   0.006000000000000   0.001732050807569   0.000038408779150
   0.006500000000000   0.002598076211353   0.000025605852766
   0.007000000000000   0.003464101615138   0.000006401463192
   0.006000000000000                   0   0.000004267642128
   0.006500000000000   0.000866025403784   0.000012802926383
   0.007000000000000   0.001732050807569   0.000012802926383
   0.007500000000000   0.002598076211353   0.000004267642128
   0.007000000000000                   0   0.000001828989483
   0.007500000000000   0.000866025403784   0.000003657978967
   0.008000000000000   0.001732050807569   0.000001828989483
   0.008000000000000                   0   0.000000457247371
   0.008500000000000   0.000866025403784   0.000000457247371
   0.009000000000000                   0   0.000000050805263

end

function ret=plotIn4Trt(S28b)
% 分别按照game X info 有4张图
arr=  xlsread('F:\CycleFT0801\RPSEE99stata\Distribution.csv');
NashDis55=[];
for game=1:2
    for info=1:2
        for i =1:length(S28b(:,1))
            em=[game info zeros(1,5)];
            t=find(arr(:,3)==S28b(i,1) & arr(:,3+1)==S28b(i,1+1) ...
                & arr(:,3+1+1)==S28b(i,1+1+1) & arr(:,1)==game& arr(:,2)==info);
            if length(t) > 0
                NashDis55=[NashDis55; arr(t,:)  S28b(i,:)];
            else
                NashDis55=[NashDis55;  em S28b(i,:)] ;
            end
        end
    end
end
          figure()
b=NashDis55;

        for game=1:2
            for info=1:2
                    a=b((b(:,1)==game & b(:,2)==info),:);
                    a(:,7)=a(:,7)/sum(a(:,7));
                   game, info,  a
                 for k=1:length(a(:,1))
                     disD=a(k,8-1)-a(k,16-1);
                     textDis=round(disD*1000);
                     if textDis==0;textDisr='';else textDisr= num2str(textDis);end
                     if a(k,2)==1; InfoStr=', CI'; else InfoStr=', II';end
                     if disD > 0; co='red'; else co='blue' ;end
                       subplot(2,2,(a(k,1)) + (a(k,2)-1)*2);
                              plot(a(k,14-1),a(k,15-1),'ro',  'Color', co ,'MarkerSize',sqrt(abs(disD)*10)*4);hold on;
                              text(a(k,14-1)-0.05,a(k,15-1)-0.07,textDisr);hold on;
                              plot(a(k,14-1),a(k,15-1),'g.');hold on;
                              text(6,7.5,strcat( 'Game-',num2str(a(k,1)), InfoStr),'fontsize',15);
                              axis([0 9 0 9]); axis off
                              axis square;
                            box off
                 end
           end
        end
         figure()

 end