Kinetic approach to the collective dynamics of the rock-paper-scissors binary game - Archive ouverte HAL
Article Dans Une Revue Applied Mathematics and Computation Année : 2021

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

Résumé

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.
Fichier principal
Vignette du fichier
KineticGames_20200205Hal.pdf (963.64 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02491580 , version 1 (26-02-2020)
hal-02491580 , version 2 (04-03-2020)

Identifiants

Citer

Nastassia Pouradier Duteil, Francesco Salvarani. Kinetic approach to the collective dynamics of the rock-paper-scissors binary game. Applied Mathematics and Computation, 2021, 388, ⟨10.1016/j.amc.2020.125496⟩. ⟨hal-02491580v2⟩
100 Consultations
170 Téléchargements

Altmetric

Partager

More