Evolutionary Games and the Replicator Dynamics - Saul Mendoza-Palacios, Onésimo Hernández-Lerma

Evolutionary Games and the Replicator Dynamics

Buch | Hardcover
100 Seiten
2024
Cambridge University Press (Verlag)
978-1-009-47230-2 (ISBN)
62,30 inkl. MwSt
This Element introduces the replicator dynamics for symmetric and asymmetric games where the strategy sets are metric spaces. The authors 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.
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.

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.

Erscheinungsdatum
Reihe/Serie Elements in Evolutionary Economics
Zusatzinfo Worked examples or Exercises
Verlagsort Cambridge
Sprache englisch
Maße 152 x 229 mm
Gewicht 284 g
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Finanz- / Wirtschaftsmathematik
Wirtschaft Volkswirtschaftslehre Makroökonomie
ISBN-10 1-009-47230-5 / 1009472305
ISBN-13 978-1-009-47230-2 / 9781009472302
Zustand Neuware
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