Optimal strategies for a game on amenable semigroups

DOI10.1007/S00182-012-0345-7zbMath1302.91041arXiv1104.3098OpenAlexW3100699414MaRDI QIDQ378345

Kent E. Morrison, Valerio Capraro

Publication date: 11 November 2013

Published in: International Journal of Game Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.3098

zbMATH Keywords

Nash equilibriumamenabilityoptimal strategiesprobability measuresintrinsically measurableload gameminimax strategymultiplicative gamesemigroup game

Mathematics Subject Classification ID

2-person games (91A05) Games involving topology, set theory, or logic (91A44) Means on groups, semigroups, etc.; amenable groups (43A07) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (1)

Existence of equilibria in countable games: an algebraic approach

Cites Work

• Amenable semigroups
• Finitely additive and epsilon Nash equilibria
• An ultrafilter approach to Jin's theorem
• Syndetic sets and amenability
• The Multiplication Game
• Semigroups Satisfying a Strong Folner Condition
• On Topologically Invariant Means on a Locally Compact Group
• On a Theorem of De Finetti, Oddsmaking, and Game Theory
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