NDLI: Nash equilibria of Cauchy-random zero-sum and coordination matrix games

Content Provider	Springer Nature Link
Author	Roberts, David P.
Copyright Year	2006
Abstract	We consider zero-sum games (A, − A) and coordination games (A,A), where A is an m-by-n matrix with entries chosen independently with respect to the Cauchy distribution. In each case, we give an exact formula for the expected number of Nash equilibria with a given support size and payoffs in a given range, and also asymptotic simplications for matrices of a fixed shape and increasing size. We carefully compare our results with recent results of McLennan and Berg on Gaussian random bimatrix games (A,B), and describe how the three situations together shed light on random bimatrix games in general.
Starting Page	167
Ending Page	184
Page Count	18
File Format	PDF
ISSN	00207276
Journal	International Journal of Game Theory
Volume Number	34
Issue Number	2
e-ISSN	14321270
Language	English
Publisher	Physica-Verlag
Publisher Date	2006-07-10
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Nash equilibrium Support size Cauchy distribution Zero-sum game Coordination game Organization/Planning Operations Research/Decision Theory Economic Theory Game Theory, Economics, Social and Behav. Sciences
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Social Sciences Economics and Econometrics Statistics, Probability and Uncertainty

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Nash equilibria of Cauchy-random zero-sum and coordination matrix games