Pattern in Strategy Space of Supermodularity Games

When Does Learning in Games Generate Convergence to Nash Equilibria?

The Role of
Supermodularity in an Experimental Setting

By YAN CHEN AND ROBERT GAZZALE

URL:
http://yanchen.people.si.umich.edu/published/Chen_Gazzale_AER_2004.pdf

**CHEN &
GAZZALE (2004):**

**Phase Plane
Method**

The Three Learning Models for Competition

The models we examine are
stochastic fictitious play with discounting (hereafter shortened as sFP)
(Yin-Wong Cheung and Daniel Friedman, 1997; Fudenberg and Levine, 1998),
functional EWA (fEWA) (Teck-Hua Ho et al., 2001) and the payoff assessment
learning model (PA) (Rajiv Sarin and Farshid Vahid, 1999).

We now give a brief overview of each model. Interested readers are referred to
the originals for complete descriptions.

**
We then compare the simulated paths with the experimental data to find those
parameters that minimize the mean-squared deviation (MSD) scores.**

(Need to add title for each figure in Matlab, also label of both axis, red-price
and blue-price)

Experimental Result | Theoretical Result | |

The Evolutionary Game Theory Figure Result