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- Title
Generalized Means and Randomization Scheme of Nash Equilibria.
- Authors
Briec, Walter; Dumas, Audrey; Mauranyapin, Jeremie
- 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.
- Subjects
NASH equilibrium; IDEMPOTENTS
- Publication
International Game Theory Review, 2023, Vol 25, Issue 4, p1
- ISSN
0219-1989
- Publication type
Article
- DOI
10.1142/S0219198923500093