Generalized Means and Randomization Scheme of Nash Equilibria

Walter Briec, Audrey Dumas and Jeremie Mauranyapin
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Walter Briec: LAMPS - LAboratoire de Modélisation Pluridisciplinaire et Simulations - UPVD - Université de Perpignan Via Domitia

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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.

Date: 2023-05-13
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Published in International Game Theory Review, 2023, 25 (04), 2350009, 41 pp, ⟨10.1142/S0219198923500093⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-04784054

DOI: 10.1142/S0219198923500093

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