Generalized Means and Randomization Scheme of Nash Equilibria

Walter Briec (), Audrey Dumas and Jeremie Mauranyapin
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Walter Briec: LAMPS, Department of Economics, University of Perpignan, 52 Avenue Villeneuve, 66000 Perpignan, France
Audrey Dumas: LAMPS, Department of Economics, University of Perpignan, 52 Avenue Villeneuve, 66000 Perpignan, France
Jeremie Mauranyapin: LAMPS, Department of Economics, University of Perpignan, 52 Avenue Villeneuve, 66000 Perpignan, France

International Game Theory Review (IGTR), 2023, vol. 25, issue 04, 1-41

Abstract: In this paper, a class of generalized convex games is introduced. Existence properties of Nash equilibria, in mixed and pure strategies, are proposed. These properties are studied by considering limit cases related to a specific class of semi-lattice games. We propose an interpretation of our results based on Atkinson’s notion of generalized means. We also show that our approach makes it possible to propose a preference scheme taking into account the notion of prioritarianism.

Keywords: Nash equilibria; generalized convexity; idempotence; semilattices (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0219198923500093

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