Skip to Main content Skip to Navigation
New interface
Book sections

Coupled State Policy Dynamics in Evolutionary Games

Abstract : 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
Document type :
Book sections
Complete list of metadata
Contributor : Eitan Altman Connect in order to contact the contributor
Submitted on : Monday, December 16, 2019 - 10:04:51 AM
Last modification on : Friday, August 5, 2022 - 2:38:11 PM
Long-term archiving on: : Tuesday, March 17, 2020 - 3:09:13 PM


Files produced by the author(s)



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⟩



Record views


Files downloads