Monotone equilibria in nonatomic supermodular games. A comment

Łukasz Balbus; Kevin Reffett; Łukasz Woźny

doi:10.1016/j.geb.2015.05.010

Monotone equilibria in nonatomic supermodular games. A comment

Łukasz Balbus, Kevin Reffett, Łukasz Woźny

Economics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Recently Yang and Qi(2013)stated an interesting theorem on the existence of complete lattice of equilibria in a particular class of large nonatomic supermodular games for general action and players spaces. Unfortunately, their result is incorrect. In this note, we detail the nature of the problem with the stated theorem, provide a counterexample, and then correct the result under additional assumptions.

Original language	English (US)
Pages (from-to)	182-187
Number of pages	6
Journal	Games and Economic Behavior
Volume	94
DOIs	https://doi.org/10.1016/j.geb.2015.05.010
State	Published - Nov 1 2015

Keywords

Distributional equilibria
Games with strategic complementarities
Large games
Supermodular games

ASJC Scopus subject areas

Economics and Econometrics
Finance

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10.1016/j.geb.2015.05.010

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abstract = "Recently Yang and Qi(2013)stated an interesting theorem on the existence of complete lattice of equilibria in a particular class of large nonatomic supermodular games for general action and players spaces. Unfortunately, their result is incorrect. In this note, we detail the nature of the problem with the stated theorem, provide a counterexample, and then correct the result under additional assumptions.",

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AU - Reffett, Kevin

AU - Woźny, Łukasz

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N2 - Recently Yang and Qi(2013)stated an interesting theorem on the existence of complete lattice of equilibria in a particular class of large nonatomic supermodular games for general action and players spaces. Unfortunately, their result is incorrect. In this note, we detail the nature of the problem with the stated theorem, provide a counterexample, and then correct the result under additional assumptions.

AB - Recently Yang and Qi(2013)stated an interesting theorem on the existence of complete lattice of equilibria in a particular class of large nonatomic supermodular games for general action and players spaces. Unfortunately, their result is incorrect. In this note, we detail the nature of the problem with the stated theorem, provide a counterexample, and then correct the result under additional assumptions.

KW - Distributional equilibria

KW - Games with strategic complementarities

KW - Large games

KW - Supermodular games

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JO - Games and Economic Behavior

JF - Games and Economic Behavior

ER -

Monotone equilibria in nonatomic supermodular games. A comment

Abstract

Keywords

ASJC Scopus subject areas

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