Bursts in three-strategy evolutionary ordinal potential games on a square lattice

Kristóf Hódsági and György Szabó

Physica A: Statistical Mechanics and its Applications, 2019, vol. 525, issue C, 1379-1387

Abstract: Evolutionary potential games provide an analogy for equilibrium statistical physics under suitable conditions that is broken if cyclic components are added. Using Monte Carlo simulations we study the effect of weak cyclic perturbations on the equilibrium in a system of players located on a square lattice while the dynamics is controlled by a logit rule. The pair interaction is composed of a symmetric three-strategy coordination game of unit strength, a weak self-dependent term, and a cyclic (rock–paper–scissors) component. The self-dependent component favors the first (rock) strategy which dominates the system behavior at low noises if the strength of the cyclic component is below a threshold value. In the opposite case the predator of the first strategy (paper) rules the behavior at low noises while the first strategy can occasionally form growing domains (bursts) diminished after the appearance of the third one. The variation of noise modifies the invasion velocities as well as the rate of nucleation processes and yields drastic changes in the strategy frequencies, fluctuations, average payoffs, and spatio-temporal patterns.

Keywords: Evolutionary games; Cyclic dominance; Bursts (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:525:y:2019:i:c:p:1379-1387

DOI: 10.1016/j.physa.2019.04.144

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