Coupled State Policy Dynamics in Evolutionary Games - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Chapitre D'ouvrage Année : 2019

Coupled State Policy Dynamics in Evolutionary Games

Résumé

In this work we want to extend the EGT models by introducing the concept of individual state. We analyze a particular simple case, in which we associate a state to each player, and we suppose that this state determines the set of available actions. We consider deterministic stationary policies and we suppose that the choice of a policy determines the fitness of the player and it impacts the evolution of the state. We define the interdependent dynamics of states and policies and we introduce the State Policy coupled Dynamics (SPcD) in order to study the evolution of the population profile and we prove the relation between the rest points of our system and the equilibria of the game. We then assume that the processes of states and policies move with different velocities: this assumption allows us to solve the system and then to find the equilibria of our game with two different methods: the singular perturbation method and a matrix approach. 93
Fichier principal
Vignette du fichier
Binder3.pdf (412.43 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-02413146 , version 1 (16-12-2019)

Identifiants

Citer

Ilaria Brunetti, Yezekael Hayel, Eitan Altman. Coupled State Policy Dynamics in Evolutionary Games. Eitan Altman; Konstantin Avrachenkov; Francesco de Pellegrini; Rachid El-Azouzi; Huijuan Wang. Multilevel Strategic Interaction Game Models for Complex Networks, Springer International Publishing, pp.95-107, 2019, ⟨10.1007/978-3-030-24455-2_5⟩. ⟨hal-02413146⟩
158 Consultations
155 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More