Equilibrium and dominance in fuzzy games

Mallozzi, Lina and Vidal-Puga, Juan (2022): Equilibrium and dominance in fuzzy games.

Abstract

In this paper, we study the generalization of (Nash) equilibrium and dominance solvability to interval fuzzy games in strategic form. We show that the more straightforward generalizations of these concepts do not inherit their most relevant results, either in terms of existence or refinement. To efficiently handle the fuzziness of the payoffs, we use the Hurwicz criterion and introduce new equilibrium concepts and dominance solutions that greatly overcome these drawbacks.

• Item Type: MPRA Paper
• Language: English
• Keywords: Dominance solvability; Fuzzy interval payoffs; Hurwicz criterion
• Subjects: C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games

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