From Nash Equilibria to Chain Recurrent Sets: An Algorithmic Solution Concept for Game Theory [PDF]
Entropy, 2018 In 1950, Nash proposed a natural equilibrium solution concept for games hence called Nash equilibrium, and proved that all finite games have at least one.
Christos Papadimitriou +1 more
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Nash Equilibria in Four-Strategy Quantum Extensions of the Prisoner’s Dilemma Game [PDF]
EntropyThe concept of Nash equilibria in pure strategies for quantum extensions of the general form of the Prisoner’s Dilemma game is investigated. The process of quantization involves incorporating two additional unitary strategies, which effectively expand ...
Piotr Frąckiewicz +4 more
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Data on the existence ratio and social utility of Nash equilibria and of the Perfectly Transparent Equilibrium [PDF]
Data in Brief, 2021 This dataset includes 204,350,000 games in normal form played by two agents that have the choice between three strategies each, as well as 100,000 games in normal form played by four agents that have the choice between three strategies each.
Ghislain Fourny, Felipe Sulser
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Dynamical selection of Nash equilibria using reinforcement learning: Emergence of heterogeneous mixed equilibria. [PDF]
PLoS ONE, 2018 We study the distribution of strategies in a large game that models how agents choose among different double auction markets. We classify the possible mean field Nash equilibria, which include potentially segregated states where an agent population can ...
Robin Nicole, Peter Sollich
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Nash equilibria in multi-agent motor interactions. [PDF]
PLoS Computational Biology, 2009 Social interactions in classic cognitive games like the ultimatum game or the prisoner's dilemma typically lead to Nash equilibria when multiple competitive decision makers with perfect knowledge select optimal strategies.
Daniel A Braun +2 more
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An evolutionary differential game for regulating the role of monoclonal antibodies in treating signalling pathways in oesophageal cancer [PDF]
Royal Society Open ScienceThis work presents a new framework for a competitive evolutionary game between monoclonal antibodies and signalling pathways in oesophageal cancer. The framework is based on a novel dynamical model that takes into account the dynamic progression of ...
Mesfer Alajmi, Souvik Roy
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Efficiency of Classical and Quantum Games Equilibria
Entropy, 2021 Nash equilibria and correlated equilibria of classical and quantum games are investigated in the context of their Pareto efficiency. The examples of the prisoner’s dilemma, battle of the sexes and the game of chicken are studied.
Marek Szopa
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On Nash Equilibria in a Finite Game for Fuzzy Sets of Strategies
Mathematics, 2023 The present paper investigates a finite game with fuzzy sets of player strategies. It is proven that Nash equilibria constitute a type-2 fuzzy set defined on the universal set of strategy profiles.
Svajone Bekesiene, Serhii Mashchenko
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Nash Equilibria of Quantum Games in the Special Two-Parameter Strategy Space
Applied Sciences, 2022 The aim of the paper is to examine pure Nash equilibria in a quantum game that extends the classical bimatrix game of dimension 2. The strategies of quantum players are specific types of two-parameter unitary operations such that the resulting quantum ...
Piotr Frąckiewicz +3 more
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Mathematics, 2022 In this paper, we apply the existence of solutions of the Ky Fan minimax inequality to establish the existence of fuzzy strong Nash equilibria in generalized fuzzy games and strong Nash equilibria in fuzzy coalition generalized games.
Tieying Huang, Jiuqiang Liu
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