Kinetic approach to the collective dynamics of the rock-paper-scissors binary game

Nastassia Pouradier Duteil and Francesco Salvarani

Applied Mathematics and Computation, 2021, vol. 388, issue C

Abstract: This article studies the kinetic dynamics of the rock-paper-scissors binary game. We first prove existence and uniqueness of the solution of the kinetic equation and subsequently we prove the rigorous derivation of the quasi-invariant limit for two meaningful choices of the domain of definition of the independent variables. We notice that the domain of definition of the problem plays a crucial role and heavily influences the behavior of the solution. The rigorous proof of the relaxation limit does not need the use of entropy estimates for ensuring compactness.

Keywords: Kinetic Equations; Binary games; Diffusion limits (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:388:y:2021:i:c:s0096300320304549

DOI: 10.1016/j.amc.2020.125496

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