Entanglement and dynamic stability of Nash equilibria in a symmetric quantum game

DOI10.1016/S0375-9601(01)00428-5zbMath0969.81511arXivquant-ph/0101106OpenAlexW2086060743WikidataQ62044634 ScholiaQ62044634MaRDI QIDQ5938064

Azhar Iqbal, A. H. Toor

Publication date: 31 July 2001

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0101106

zbMATH Keywords

classical probabilitiesidentity operatorsPauli spin-flip operators

Mathematics Subject Classification ID

Stochastic mechanics (including stochastic electrodynamics) (81P20)

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Cooperative three- and four-player quantum games ⋮ Giffen paradoxes in quantum market games ⋮ Chris Cannings: a life in games ⋮ Coalitions in the quantum minority game: classical cheats and quantum bullies ⋮ Nash equilibria in quantum games with generalized two-parameter strategies ⋮ Constructing quantum games from symmetric non-factorizable joint probabilities ⋮ Constructing quantum games from a system of Bell's inequalities ⋮ Quantum prisoner dilemma under decoherence ⋮ Probabilistic analysis of three-player symmetric quantum games played using the Einstein-Podolsky-Rosen-Bohm setting ⋮ Transitivity vs. Intransitivity in decision making process - an example in quantum game theory ⋮ Non-factorizable joint probabilities and evolutionarily stable strategies in the quantum prisoner's dilemma game ⋮ Entanglement and dynamic stability of Nash equilibria in a symmetric quantum game ⋮ Darwinism in quantum systems? ⋮ Quantum solution to the Newcomb's paradox ⋮ Quantum mean-field games with the observations of counting type ⋮ Interference of quantum market strategies

Cites Work

• A quantum approach to static games of complete information
• Reexamination of the perfectness concept for equilibrium points in extensive games
• Evolutionarily stable strategies and game dynamics
• Multi-player matrix games
• On the changing concept of evolutionary population stability as a reflection of a changing point of view in the quantitative theory of evolution
• The Logic of Animal Conflict
• Bounds on the number of ESSs of a matrix game
• Entanglement and dynamic stability of Nash equilibria in a symmetric quantum game

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