Berge equilibrium in normal form static games: a literature review

DOI10.20537/2226-3594-2017-49-04zbMath1388.91013OpenAlexW2676130541MaRDI QIDQ4641630

Moussa Larbani, Vladislav Zhukovskiy

Publication date: 18 May 2018

Published in: Izvestiya Instituta Matematiki i Informatiki. Udmurt. Gos. Univ. (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.20537/2226-3594-2017-49-04

zbMATH Keywords

golden rulecooperationaltruismBerge equilibriummutual supportcomputation of BEdetermination of BEexistence of BE

Mathematics Subject Classification ID

Noncooperative games (91A10)

Related Items (8)

Example of a finite game with no Berge equilibria at all ⋮ Berge equilibrium in linear-quadratic mean-field-type games ⋮ Berge and Nash equilibria in a linear-quadratic differential game ⋮ Unnamed Item ⋮ Weak Berge Equilibrium ⋮ Strong coalitional equilibria in games under uncertainty ⋮ On the existence of unilateral support equilibrium ⋮ Altruistic-like equilibrium in a differential game of renewable resource extraction

Cites Work

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• An algorithm for computing all Berge equilibria
• Mutual support in games: some properties of Berge equilibria
• The vector-valued maximin
• Intersection theorems and their applications to Berge equilibria
• Individually-optimal equilibria of noncooperative games in preference relations
• Fixed points, Nash games and their organizations
• Some existence theorems of Nash and Berge equilibria.
• A note on the existence of Berge and Berge-Nash equilibria
• A note on Berge equilibrium
• Equi-well-posed games
• Berge equilibrium: some recent results from fixed-point theorems
• Non-cooperative games
• A generalization of Brouwer's fixed point theorem
• Pareto-optimal Nash equilibrium: Sufficient conditions and existence in mixed strategies
• Mathematical foundations of the Golden Rule. I. Static case
• Mathematical Foundations of the Golden Rule. II. Dynamic Case
• BERGE–VAISMAN AND NASH EQUILIBRIA: TRANSFORMATION OF GAMES
• A NEW THEOREM TO FIND BERGE EQUILIBRIA
• On the Existence of Berge Equilibrium: An Order Theoretic Approach
• The Berge equilibrium in Cournot's model of oligopoly
• Berge-Zhukovskii Optimal Nash Equilibria
• Altruistic (Berge) equilibrium in the model of Bertrand duopoly
• Equilibrium points in n -person games
• A Further Generalization of the Kakutani Fixed Point Theorem, with Application to Nash Equilibrium Points

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