Evolutionary Games and Matching Rules
(2018) In International Journal of Game Theory 47(3).- Abstract
- 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... (More)
- 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. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2be72259-566b-4a50-9516-2dd06aa19087
- author
- Jensen, Martin Kaae and Rigos, Alexandros LU
- organization
- publishing date
- 2018-06-11
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Evolutionary game theory, evolutionarily stable strategy (ESS), non-uniformly random matching, assortative matching, Replicator dynamic
- in
- International Journal of Game Theory
- volume
- 47
- issue
- 3
- publisher
- Springer
- external identifiers
-
- scopus:85048357460
- ISSN
- 1432-1270
- DOI
- 10.1007/s00182-018-0630-1
- language
- English
- LU publication?
- yes
- id
- 2be72259-566b-4a50-9516-2dd06aa19087
- date added to LUP
- 2018-06-12 10:41:17
- date last changed
- 2022-04-25 07:51:49
@article{2be72259-566b-4a50-9516-2dd06aa19087, abstract = {{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.}}, author = {{Jensen, Martin Kaae and Rigos, Alexandros}}, issn = {{1432-1270}}, keywords = {{Evolutionary game theory; evolutionarily stable strategy (ESS); non-uniformly random matching; assortative matching; Replicator dynamic}}, language = {{eng}}, month = {{06}}, number = {{3}}, publisher = {{Springer}}, series = {{International Journal of Game Theory}}, title = {{Evolutionary Games and Matching Rules}}, url = {{http://dx.doi.org/10.1007/s00182-018-0630-1}}, doi = {{10.1007/s00182-018-0630-1}}, volume = {{47}}, year = {{2018}}, }