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.
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- 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., 1990. "Global Games And Equilibrium Selection," Papers 9052, Tilburg - 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.
- Carlsson, H. & van Damme, E.E.C., 1990. "Global games and equilibrium selection," Discussion Paper 1990-52, Tilburg University, Center for Economic Research.
- 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.
- Fernando Vega Redondo, 1996.
"The evolution of walrasian behavior,"
Working Papers. Serie AD
1996-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Larry Samuelson, 2002. "Evolution and Game Theory," Journal of Economic Perspectives, American Economic Association, vol. 16(2), pages 47-66, Spring.
- Ben Cooper & Chris Wallace, 2004.
"Group selection and the evolution of altruism,"
Oxford Economic Papers,
Oxford University Press, vol. 56(2), pages 307-330, April.
- Cooper, B. & Wallace, C., 2001. "Group Selection And The Evolution Of Altruism," Economics Series Working Papers 9967, University of Oxford, Department of Economics.
- 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.
- Ernst Fehr & Simon Gaechter, 1999.
"Cooperation and Punishment in Public Goods Experiments,"
CESifo Working Paper Series
183, CESifo Group Munich.
- 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, "undated". "Cooperation and Punishment in Public Goods Experiments," IEW - Working Papers 010, Institute for Empirical Research in Economics - University of Zurich.
- Rubinstein, Ariel, 1979. "Equilibrium in supergames with the overtaking criterion," Journal of Economic Theory, Elsevier, vol. 21(1), pages 1-9, August.
- 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.
- Ingela Alger & Jörgen Weibull, 2009.
"Kinship, Incentives and Evolution,"
- 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 157-179, March.
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