Kinetic approach to the collective dynamics of the rock-paper-scissors binary game
Analysis of PDEs
2020-03-17 v2
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
Cite
@article{arxiv.2002.12844,
title = {Kinetic approach to the collective dynamics of the rock-paper-scissors binary game},
author = {Nastassia Duteil and Francesco Salvarani},
journal= {arXiv preprint arXiv:2002.12844},
year = {2020}
}