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A Model of Migration



A simple game-theoretic model of migration is proposed, in which the players are animals, the strategies are territories in a landscape to which they may migrate, and the payoffs for each animal are determined by its ultimate location and the number of other animals there. If the payoff to an animal is a decreasing function of the number of other animals sharing its territory, we show the resultant game has a pure strategy Nash equilibrium (PSNE). Furthermore, this PSNE is generated via "natural" myopic behavior on the part of the animals. Finally, we compare this type of game with congestion games and potential games.

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  • Thomas Quint & Martin Shubik, 1994. "A Model of Migration," Cowles Foundation Discussion Papers 1088, Cowles Foundation for Research in Economics, Yale University.
  • Handle: RePEc:cwl:cwldpp:1088

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    References listed on IDEAS

    1. Quint, Thomas & Shubik, Martin, 2002. "A bound on the number of Nash equilibria in a coordination game," Economics Letters, Elsevier, vol. 77(3), pages 323-327, November.
    2. Barany, I & Lee, J & Shubik, M, 1992. "Classification of Two-Person Ordinal Bimatrix Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(3), pages 267-290.
    3. B. Curtis Eaves, 1971. "The Linear Complementarity Problem," Management Science, INFORMS, vol. 17(9), pages 612-634, May.
    4. Powers, Imelda Yeung, 1990. "Limiting Distributions of the Number of Pure Strategy Nash Equilibria in N-Person Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(3), pages 277-286.
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    Cited by:

    1. Hideo Konishi, 2004. "Uniqueness of User Equilibrium in Transportation Networks with Heterogeneous Commuters," Transportation Science, INFORMS, vol. 38(3), pages 315-330, August.
    2. Holzman, Ron & Law-Yone, Nissan, 1997. "Strong Equilibrium in Congestion Games," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 85-101, October.
    3. repec:spr:compst:v:71:y:2010:i:1:p:85-101 is not listed on IDEAS
    4. Marja-Liisa Halko & Hannu Salonen, 2008. "Congestion, Coordination and Matching," Discussion Papers 28, Aboa Centre for Economics.
    5. Olivier Tercieux & Mark Voorneveld, 2010. "The cutting power of preparation," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 71(1), pages 85-101, February.
    6. Roughgarden, Tim & Tardos, Eva, 2004. "Bounding the inefficiency of equilibria in nonatomic congestion games," Games and Economic Behavior, Elsevier, vol. 47(2), pages 389-403, May.
    7. Tim Roughgarden, 2010. "Computing equilibria: a computational complexity perspective," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(1), pages 193-236, January.
    8. Abderrahmane ZIAD & Samir SBABOU & Hatem SMAOUI, 2011. "Nash equilibria in nonsymmetric singleton congestion games with exact partition," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 201115, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.

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