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Journal of Economic Theory and Econometrics
Journal of the Korean Econometric Society
Simple Characterizations of Potential Games and Zero-sum Equivalent Games
Vol.31, No.1, March 2020, 1–13
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Sung-Ha Hwang
(Korea Advanced Institute of Science and Technology (KAIST))
Luc Rey-Bellet
(University of Massachusetts Amherst)
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Abstract
We provide several tests to determine whether a game is a potential game or whether it is a zero-sum equivalent game-a game which is strategically equivalent to a zero-sum game in the same way that a potential game is strategically equivalent to a common interest game. We present a unified framework applicable for both potential and zero-sum equivalent games by deriving a simple but useful characterization of these games. This allows us to re-derive known criteria for potential games, as well as obtain several new criteria. In particular, we prove (1) new integral tests for potential games and for zero-sum equivalent games, (2) a new derivative test for zero-sum equivalent games, and (3) a new representation characterization for zero-sum equivalent games.
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Keywords
Potential Games, Zero-Sum Games, Zero-Sum Equivalent Games |
JEL classification codes
C72, C73 |
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