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.