Arbeitspapier

Evolutionary Games and Matching Rules

This study considers evolutionary games with non-uniformly random matching when interaction occurs in groups of n >= 2 individuals using pure strategies from a finite strategy set. In such models, groups with different compositions of individuals generally co-exist and the reproductive success (fitness) of a specific strategy varies with the frequencies of different group types. These frequencies crucially depend on the matching process. For arbitrary matching processes (called matching rules), we study Nash equilibrium and ESS in the associated population game and show that 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. Finally, we provide a series of applications to commonly studied normal-form games.

Sprache
Englisch

Erschienen in
Series: Working Paper ; No. 2017:11

Klassifikation
Wirtschaft
Noncooperative Games
Stochastic and Dynamic Games; Evolutionary Games; Repeated Games
Thema
evolutionary game theory
evolutionarily stable strategy
ESS
non-uniformly random matching

Ereignis
Geistige Schöpfung
(wer)
Jensen, Martin Kaae
Rigos, Alexandros
Ereignis
Veröffentlichung
(wer)
Lund University, School of Economics and Management, Department of Economics
(wo)
Lund
(wann)
2018

Handle
Letzte Aktualisierung
10.03.2025, 11:41 MEZ

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Jensen, Martin Kaae
  • Rigos, Alexandros
  • Lund University, School of Economics and Management, Department of Economics

Entstanden

  • 2018

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