About the Sugeno integral in bimatrix games

Hans Peters ()
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Hans Peters: Maastricht University

Theory and Decision, 2025, vol. 99, issue 1, No 18, 445-459

Abstract: Abstract We consider bimatrix games where the strategies of the players are described by capacities, and the payoffs are determined by the Sugeno integral. In this model we establish when a row or column is never a best reply. We also study a version of Nash equilibrium, called Sugeno-Nash equilibrium, and show its existence. Finally, we characterize the cooperative payoff space of a bimatrix game attainable by capacities defined on the set of all payoff pairs in the bimatrix game.

Keywords: Bimatrix game; Capacity; Sugeno integral; Equilibrium; Cooperative payoff space (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s11238-025-10067-7

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