Kinetic approach to the collective dynamics of the rock-paper-scissors binary game
Salvarani, Francesco; Pouradier Duteil, Nastassia (2021), Kinetic approach to the collective dynamics of the rock-paper-scissors binary game, Applied Mathematics and Computation;0096-3003, 388. 10.1016/j.amc.2020.125496
TypeArticle accepté pour publication ou publié
Journal nameApplied Mathematics and Computation;0096-3003
MetadataShow full item record
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Dipartimento di matematica F. Casorati
Pouradier Duteil, Nastassia
Laboratoire Jacques-Louis Lions [LJLL (UMR_7598)]
Abstract (EN)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.
Subjects / KeywordsKinetic Equations; Binary games; Diffusion limits
Showing items related by title and author.