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Evolutionar Dnamics of Populations wirth a Local Interaction Structure

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Author Info

  • Illan Eshel
  • Emilia Sansone
  • Avner Shaked
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    Abstract

    A 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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    File URL: http://www.wiwi.uni-bonn.de/bgsepapers/bonsfb/bonsfb350.ps
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    Bibliographic Info

    Paper provided by University of Bonn, Germany in its series Discussion Paper Serie B with number 350.

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    Date of creation: Jan 1996
    Date of revision:
    Handle: RePEc:bon:bonsfb:350

    Contact details of provider:
    Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
    Fax: +49 228 73 6884
    Web page: http://www.bgse.uni-bonn.de

    Related research

    Keywords: Population Dynamics; Isolation by Distance; Local Inter- action; Altruism; Inclusive Fitness;

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    References

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    1. AUMANN, Robert J., . "Subjectivity and correlation in randomized strategies," CORE Discussion Papers RP -167, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. George Mailath & Larry Samuelson & Avner Shaked, 1994. "Evolution and Endogenous Interactions," Game Theory and Information 9410003, EconWPA.
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