Symmetric games with only asymmetric equilibria

It is known that not every symmetric game has a symmetric equilibrium because there are examples of symmetric games that fail to have any equilibria at all. But this leads to the following question: If a symmetric game has a Nash equilibrium, does it have a symmetric Nash equilibrium? In this Note, we show that the answer to this question is no by providing two examples of symmetric games that have only asymmetric equilibria.

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Year of publication:	2012
Authors:	Fey, Mark
Published in:	Games and Economic Behavior. - Elsevier, ISSN 0899-8256. - Vol. 75.2012, 1, p. 424-427
Publisher:	Elsevier
Subject:	Symmetric game \| Symmetric equilibrium \| Zero-sum game

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Type of publication:	Article
Classification:	C72 - Noncooperative Games
Source:	RePEc - Research Papers in Economics

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