S-WoPEc
 
Scandinavian Working Papers in Economics
HomeAboutSeriesSubject/JEL codesAdvanced Search
Department of Economics, Lund University Working Papers, Department of Economics, Lund University

No 2017:11:
Evolutionary Games and Matching Rules

Martin Kaae Jensen () and Alexandros Rigos ()

Abstract: This study considers evolutionary models with non-uniformly random matching when interaction occurs in groups of n>=2 individuals. In such models, groups with different compositions of individuals generally co-exist and the reproductive success (fitness) of a specific strategy and consequently long-run behavior in the population varies with the frequencies of different group types. These frequencies crucially depend on the particular matching process at hand. Two new equilibrium concepts are introduced: Nash equilibrium under a matching rule (NEMR) and evolutionarily stable strategy under a matching rule (ESSMR). When matching is uniformly random, these reduce to Nash equilibrium and evolutionarily stable strategy, respectively. Several results that are known to hold for population games under uniform random matching carry through to our setting. In our most novel contribution, we derive results on the efficiency of the Nash equilibria of population games and show that for any (fixed) payoff structure, there always exists some matching rule leading to average fitness maximization in NEMR. Finally, we provide a series of applications to commonly studied normal-form games.

Keywords: evolutionary game theory; evolutionarily stable strategy; ESS; non-uniformly random matching; (follow links to similar papers)

JEL-Codes: C72; C73; (follow links to similar papers)

27 pages, September 28, 2017

Before downloading any of the electronic versions below you should read our statement on copyright.
Download GhostScript for viewing Postscript files and the Acrobat Reader for viewing and printing pdf files.

Full text versions of the paper:

wp17_11.pdf    PDF-file
Download Statistics

Questions (including download problems) about the papers in this series should be directed to David Edgerton ()
Report other problems with accessing this service to Sune Karlsson () or Helena Lundin ().

Programing by
Design by Joachim Ekebom

Handle: RePEc:hhs:lunewp:2017_011 This page was generated on 2017-10-03 11:47:33