A quantum relativistic battle of the sexes cellular automaton

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• 作者：Ramó ; n Alonso-Sanz^a ; ^{ramon.alonso@upm.es} ; Haozhen Situ^b ; ^{situhaozhen@gmail.com}
• 关键词：Quantum games ; Entangling ; Uniform acceleration ; Cellular automata
• 刊名：Physica A: Statistical Mechanics and its Applications
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：468
• 期：Complete
• 页码：267-277
• 全文大小：1957 K
• 卷排序：468

文摘

This work deals with a spatial formulation of the iterated quantum-relativistic battle of the sexes (QRBOS) game played in the cellular automata (CA) manner. The parameters of the model are quickly selected and promptly converge to a fairly stable structure. In fair two-parameter games, the simulations evolve into parameter structures that favour the accelerated players when the entanglement factor γγ lies below its midpoint, and to the inertial ones above it. Quantum-accelerated players become fully privileged when facing classic-inertial ones regardless γγ. Classic-accelerated players overrate the quantum-inertial ones with γγ under its midpoint, whereas the payoffs order reverses with γγ over its midpoint. In the three-parameter model, the accelerated players overrate the inertial ones up to a high level of γγ, above which the payoffs of both player types tend to equalize. Heavy spatial effects emerge in CA simulations with no negligible γγ, so that mean-field payoff estimates fail to approach to the actual mean payoffs.