Berger, Ulrich. 2007. Two More Classes of Games with the Continuous-Time Fictitious Play Property. Games and Economic Behavior 60 (2), 247-261.

RIS

@ARTICLE{Berger2007,
title = {Two More Classes of Games with the Continuous-Time Fictitious Play Property},
author = {Ulrich Berger},
year = {2007},
doi = {http://dx.doi.org/10.1016/j.geb.2006.10.008},
url = {http://dx.doi.org/10.1016/j.geb.2006.10.008},
volume = {60},
number = {2},
language = {EN},
pages = {247-261},
journal = {Games and Economic Behavior},
abstract = {Fictitious Play is the oldest and most studied learning process for games. Since the already classical result for zero-sum games, convergence of beliefs to the set of Nash equilibria has been established for several classes of games, including weighted potential games, supermodular games with diminishing returns, and 3×3 supermodular games. Extending these results, we establish convergence of Continuous-time Fictitious Play for ordinal potential games and quasi-supermodular games with diminishing returns. As a by-product we obtain convergence for 3×m and 4×4 quasi-supermodular games.},
}