Evolutionary Games with Group Selection
This paper introduces two new concepts in evolutionary game theory; Nash equilibrium with Group Selection (NEGS) and Evolutionary Stable Strategy with Group Selection (ESSGS). These concepts generalize Maynard Smith and Price (1973) to settings with arbitrary matching rules, in particular they reduce, respectively, to Nash equilibrium and ESS when matching is random. NEGS are ESSGS are to the canonical group selection model of evolutionary theory what Nash Equilibrium and ESS are the standard replicator dynamics: any NEGS is a steady state, any stable steady state is a NEGS, and any ESSGS is asymptotically stable. We exploit this to prove what may be called "the second welfare theorem of evolution": Any evolutionary optimum will be a BEGS under some matching rule. Our results are illustrated in Hawk-Dove, Prisoners' dilemma, and Stage Hunt games.
|Date of creation:||Dec 2012|
|Date of revision:|
|Contact details of provider:|| Postal: Edgbaston, Birmingham, B15 2TT|
Web page: http://www.economics.bham.ac.uk
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Ernst Fehr & Simon Gaechter, .
"Cooperation and Punishment in Public Goods Experiments,"
IEW - Working Papers
010, Institute for Empirical Research in Economics - University of Zurich.
- Simon Gachter & Ernst Fehr, 2000. "Cooperation and Punishment in Public Goods Experiments," American Economic Review, American Economic Association, vol. 90(4), pages 980-994, September.
- Ernst Fehr & Simon Gaechter, 1999. "Cooperation and Punishment in Public Goods Experiments," CESifo Working Paper Series 183, CESifo Group Munich.
- Paul Sharp & Jacob Weisdorf, 2007.
"From Preventive to Permissive Checks: The Changing Nature of the Malthusian Relationship Between Nuptiality and the Price of Provisions in the Nineteenth Century,"
Economics Series Working Papers
67, University of Oxford, Department of Economics.
- Eshel, Ilan & Samuelson, Larry & Shaked, Avner, 1998. "Altruists, Egoists, and Hooligans in a Local Interaction Model," American Economic Review, American Economic Association, vol. 88(1), pages 157-79, March.
- Wolfgang Leininger, 2006. "Fending off one means fending off all: evolutionary stability in quasi-submodular aggregative games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(3), pages 713-719, November.
- Carlsson, H. & Van Damme, E., 1990.
"Global Games And Equilibrium Selection,"
9052, Tilburg - Center for Economic Research.
- Hans Carlsson & Eric van Damme, 1993. "Global Games and Equilibrium Selection," Levine's Working Paper Archive 122247000000001088, David K. Levine.
- Carlsson, H. & van Damme, E.E.C., 1990. "Global games and equilibrium selection," Discussion Paper 1990-52, Tilburg University, Center for Economic Research.
- Carlsson, H. & van Damme, E.E.C., 1993. "Global games and equilibrium selection," Other publications TiSEM 49a54f00-dcec-4fc1-9488-4, Tilburg University, School of Economics and Management.
- Fernando Vega Redondo, 1996.
"The evolution of walrasian behavior,"
Working Papers. Serie AD
1996-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Ingela Alger & Jörgen Weibull, 2009.
"Kinship, Incentives and Evolution,"
- P. Young, 1999. "The Evolution of Conventions," Levine's Working Paper Archive 485, David K. Levine.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
- Rubinstein, Ariel, 1979. "Equilibrium in supergames with the overtaking criterion," Journal of Economic Theory, Elsevier, vol. 21(1), pages 1-9, August.
- Larry Samuelson, 2002. "Evolution and Game Theory," Journal of Economic Perspectives, American Economic Association, vol. 16(2), pages 47-66, Spring.
When requesting a correction, please mention this item's handle: RePEc:bir:birmec:13-05. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Colin Rowat)
If references are entirely missing, you can add them using this form.