Fluctuations around Nash Equilibria in Game Theory
Condensed Matter
2015-06-25 v1
Abstract
We investigate the fluctuations induced by irrationality in simple games with a large number of competing players. We show that Nash equilibria in such games are ``weakly'' stable: irrationality propagates and amplifies through players' interactions so that huge fluctuations can results from a small amount of irrationality. In the presence of multiple Nash equilibria, our statistical approach allows to establish which is the globally stable equilibrium. However characteristic times to reach this state can be very large.
Keywords
Cite
@article{arxiv.cond-mat/9704145,
title = {Fluctuations around Nash Equilibria in Game Theory},
author = {M. Marsili and Y. -C. Zhang},
journal= {arXiv preprint arXiv:cond-mat/9704145},
year = {2015}
}
Comments
5 pages, Revtex, to appear in Physica A