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Spatial Pillage Game

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  • Jung, Hanjoon Michael

Abstract

A pillage game is a coalitional game that is meant to be a model of Hobbesian anarchy. The spatial pillage game introduces a spatial feature into the pillage game by assuming that players are located in regions. Players can travel from one region to another in one move and can form a coalition and combine their power only with players in the same region. A coalition has power only within its region. Under this spatial restriction, some members of a coalition can pillage less powerful coalitions without any cost. The feasibility of pillages between coalitions determines the dominance relation. Core, stable set, and farsighted core are adopted as alternative solution concepts.

Suggested Citation

  • Jung, Hanjoon Michael, 2007. "Spatial Pillage Game," MPRA Paper 4651, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:4651
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    References listed on IDEAS

    as
    1. Konishi, Hideo & Ray, Debraj, 2003. "Coalition formation as a dynamic process," Journal of Economic Theory, Elsevier, vol. 110(1), pages 1-41, May.
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    4. Hirshleifer, Jack, 1995. "Anarchy and Its Breakdown," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 26-52, February.
    5. Jordan, J.S., 2006. "Pillage and property," Journal of Economic Theory, Elsevier, vol. 131(1), pages 26-44, November.
    6. Muthoo, Abhinay, 2004. "A model of the origins of basic property rights," Games and Economic Behavior, Elsevier, vol. 49(2), pages 288-312, November.
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    8. Lucas, William F., 1992. "Von Neumann-Morgenstern stable sets," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 17, pages 543-590 Elsevier.
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    10. Michele Piccione & Ariel Rubinstein, 2007. "Equilibrium in the Jungle," Economic Journal, Royal Economic Society, vol. 117(522), pages 883-896, July.
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    More about this item

    Keywords

    allocation by force; coalitional games; pillage game; spatial restriction; stable set; farsighted core;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • R19 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Other

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