Evolutionary Games and the Replicator Dynamics - Brossura

Mendoza-Palacios, Saul

Brossura

ISBN 10: 1009472321 ISBN 13: 9781009472326

Casa editrice: Cambridge University Press, 2024

Riassunto

This Element introduces the replicator dynamics for symmetric and asymmetric games where the strategy sets are metric spaces. Under this hypothesis the replicator dynamics evolves in a Banach space of finite signed measures. The authors provide a general framework to study the stability of the replicator dynamics for evolutionary games in this Banach space. This allows them to establish a relation between Nash equilibria and the stability of the replicator for normal a form games applicable to oligopoly models, theory of international trade, public good models, the tragedy of commons, and War of attrition game among others. They also provide conditions to approximate the replicator dynamics on a space of measures by means of a finite-dimensional dynamical system and a sequence of measure-valued Markov processes.

Dettagli dell?edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2024
• Lingua: Inglese
• ISBN 10: 1009472321
• ISBN 13: 9781009472326
• Rilegatura: Copertina flessibile
• Numero di pagine: 100
• Contatto del produttore: non disponibile
• Persona responsabile: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Francia