The testable implications of zero-sum games

SangMok Lee

Journal of Mathematical Economics, 2012, vol. 48, issue 1, 39-46

Abstract: We study collective choices from the revealed preference theory viewpoint. For every product set of individual actions, joint choices are called Nash-rationalizable if there exists a preference relation for each player such that the selected joint actions are Nash equilibria of the corresponding game. We characterize Nash-rationalizable joint choice behavior by zero-sum games, or games of conflicting interests. If the joint choice behavior forms a product subset, the behavior is called interchangeable. We prove that interchangeability is the only additional empirical condition which distinguishes zero-sum games from general non-cooperative games.

Keywords: Interchangeability; Nash-rationalizability; Revealed preference; Zero-sum game (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:48:y:2012:i:1:p:39-46

DOI: 10.1016/j.jmateco.2011.11.005

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