
Evolutionary Games and the Replicator Dynamics
Cambridge University Press
Published on 6. June 2024
Book
Hardback
100 pages
978-1-009-47230-2 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Illustrations
Worked examples or Exercises
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 10 mm
Weight
308 gr
ISBN-13
978-1-009-47230-2 (9781009472302)
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Saul Mendoza-Palacios | Onesimo Hernandez-Lerma
Evolutionary Games and the Replicator Dynamics
Book
06/2024
Cambridge University Press
€27.00
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Saul Mendoza-Palacios | Onesimo Hernandez-Lerma
Evolutionary Games and the Replicator Dynamics
E-Book
06/2024
Cambridge University Press
€20.99
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Persons
Author
Centro de Investigacion y Docencia Economicas
Centro de Investigacion y de Estudios Avanzados del IPN
Content
1. Introduction and technical preliminaries; 2. Normal form games; 3. Evolutionary games: the asymmetric case; 4. Evolutionary games: symmetric case; 5. Finite dimensional approximations; 6. The replicator dynamics as a deterministic approximation; 7. Conclusions and suggestions for future research; Symbols; Abbreviations; Appendix; Bibliography.