Evolutionary Games and the Replicator Dynamics

Saul Mendoza-Palacios and Hernández-Lerma,Onésimo

in Cambridge Books from Cambridge University Press

Abstract: 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.

Date: 2024
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:cup:cbooks:9781009472302

Ordering information: This item can be ordered from
http://www.cambridge ... p?isbn=9781009472302

Access Statistics for this book

More books in Cambridge Books from Cambridge University Press
Bibliographic data for series maintained by Data Services ().