Non-factorizable joint probabilities and evolutionarily stable strategies in the quantum prisoner's dilemma game

2009/02/28 by Azhar Iqbal, Derek Abbott
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Computer science #Dilemma #Game theory #Mathematical analysis #Mathematical economics #Mathematics #Nash equilibrium #Physics #Prisoner's dilemma #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum discord #Quantum dynamics #Quantum mechanics #Quantum pseudo-telepathy #Scheme (mathematics) #quant-ph

paper · pdf · doi:10.1016/j.physleta.2009.05.020

published as Physics Letters A 373 (2009) 2537--2541 · 9 pages, no figure

arxiv created 2009/05/12 · openalex publication_date 2009/05/16 · arxiv updated 2015/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The well known refinement of the Nash Equilibrium (NE) called an Evolutionarily Stable Strategy (ESS) is investigated in the quantum Prisoner's Dilemma (PD) game that is played using an Einstein-Podolsky-Rosen type setting. Earlier results report that in this scheme the classical NE remains intact as the unique solution of the quantum PD game. In contrast, we show here that interestingly in this scheme a non-classical solution for the ESS emerges for the quantum PD.

Citations

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