Evolutionar Dnamics of Populations wirth a Local Interaction Structure
AbstractA model of a population with a Local Interaction structure is presented. Individuals interact with others in a given Inter- action neighborhood to obtain their payof. Individuals either imitate or else they die and are replaced by one of their neigh- bors in another neighborhood- the Propagation neighborhood. An individual with a higher payo is more likely to be imitated or to replace his neighbor. An unbeatable strategy can repel the invasion of any mutant. We show that the (unique, if it exists) unbeatable strategy is an ESS of a population game with inclu- sive tness parameter which depends on the size of the interac- tion and propagation neighborhoods. We analyze the evolution of altruistic traits in such populations and observe that allowing the players more information eases the development of altruistic behavior.
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Bibliographic InfoPaper provided by University of Bonn, Germany in its series Discussion Paper Serie B with number 350.
Date of creation: Jan 1996
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Population Dynamics; Isolation by Distance; Local Inter- action; Altruism; Inclusive Fitness;
Find related papers by JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
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- George Mailath & Larry Samuelson & Avner Shaked, 1994.
"Evolution and Endogenous Interactions,"
Game Theory and Information
- Aumann, Robert J., 1974.
"Subjectivity and correlation in randomized strategies,"
Journal of Mathematical Economics,
Elsevier, vol. 1(1), pages 67-96, March.
- R. Aumann, 2010. "Subjectivity and Correlation in Randomized Strategies," Levine's Working Paper Archive 389, David K. Levine.
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