Evolutionary Games and Matching Rules
Research output: Contribution to journal › Article
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.
|Research areas and keywords||
Subject classification (UKÄ) – MANDATORY
|Journal||International Journal of Game Theory|
|Early online date||2018 Jun 11|
|Publication status||Published - 2018|