Super‐Nash Performance

ABSTRACT In this paper, I introduce a novel benchmark in games, super‐Nash performance , and a solution concept, optimin , whereby players maximize their minimal payoff under unilateral profitable deviations by other players. Optimin achieves super‐Nash performance in that, for every Nash equilibrium, there exists an optimin where each player not only receives but also guarantees super‐Nash payoffs under unilateral profitable deviations by others. Furthermore, optimin generalizes Nash equilibrium in ‐person constant‐sum games and coincides with it when . Finally, optimin is consistent with the direction of non‐Nash deviations in games in which cooperation has been extensively studied.

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Publication Details

Journal
International Economic Review
Published
2025-03-26
DOI
https://doi.org/10.1111/iere.12764
Primary Topic
Game Theory and Applications
Type
article
Field-Weighted Citation Impact
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article

Super‐Nash Performance

Mehmet S. Ismail
International Economic Review
Game Theory and Applications
article

Super‐Nash Performance

Mehmet S. Ismail
article en

Abstract

ABSTRACT In this paper, I introduce a novel benchmark in games, super‐Nash performance , and a solution concept, optimin , whereby players maximize their minimal payoff under unilateral profitable deviations by other players. Optimin achieves super‐Nash performance in that, for every Nash equilibrium, there exists an optimin where each player not only receives but also guarantees super‐Nash payoffs under unilateral profitable deviations by others. Furthermore, optimin generalizes Nash equilibrium in ‐person constant‐sum games and coincides with it when . Finally, optimin is consistent with the direction of non‐Nash deviations in games in which cooperation has been extensively studied.

International Economic Review
King's College London (GB)
Openalex Percentile: Top 93%
Game Theory and Applications
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