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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.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 4651.

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Date of creation: 2007
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Handle: RePEc:pra:mprapa:4651

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

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  1. Konishi, Hideo & Ray, Debraj, 2003. "Coalition formation as a dynamic process," Journal of Economic Theory, Elsevier, vol. 110(1), pages 1-41, May.
  2. Hirshleifer, Jack, 1995. "Anarchy and Its Breakdown," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 26-52, February.
  3. John C. Harsanyi, 1974. "An Equilibrium-Point Interpretation of Stable Sets and a Proposed Alternative Definition," Management Science, INFORMS, vol. 20(11), pages 1472-1495, July.
  4. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer, vol. 11(3), pages 603-627.
  5. Muthoo, Abhinay, 2004. "A model of the origins of basic property rights," Games and Economic Behavior, Elsevier, vol. 49(2), pages 288-312, November.
  6. Skaperdas, Stergios, 1992. "Cooperation, Conflict, and Power in the Absence of Property Rights," American Economic Review, American Economic Association, vol. 82(4), pages 720-39, September.
  7. 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.
  8. Jack Hirshleifer, 1991. "The Paradox Of Power," Economics and Politics, Wiley Blackwell, vol. 3(3), pages 177-200, November.
  9. Michele Piccione & Ariel Rubinstein, 2007. "Equilibrium in the Jungle," Economic Journal, Royal Economic Society, vol. 117(522), pages 883-896, 07.
  10. Jordan, J.S., 2006. "Pillage and property," Journal of Economic Theory, Elsevier, vol. 131(1), pages 26-44, November.
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