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Spatial Pillage Game

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  • Jung, Hanjoon Michael / HM

Abstract

A pillage game is a coalitional game as a model of Hobbesian anarchy. The spatial pillage game introduces a spatial feature into the pillage game. Players are located in regions and can travel from one region to another. The players can form a coalition and combine their power only within their destination regions, which limits the exertion of the power of each coalition. Under this spatial restriction, a coalition can pillage less powerful coalitions without any cost. The feasibility of pillages between coalitions determines the dominance relation that defines stable states in which powers among the players are endogenously balanced. With the spatial restriction, the set of stable states changes. However, if the players have forecasting ability, then the set of stable states does not change with the spatial restriction. Core, stable set, and farsighted core are adopted as alternative solution concepts.

Suggested Citation

  • Jung, Hanjoon Michael / HM, 2007. "Spatial Pillage Game," MPRA Paper 9964, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:9964
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    References listed on IDEAS

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    More about this item

    Keywords

    allocation by force; coalitional games; pillage game; spatial restriction; stable set; farsighted core;
    All these keywords.

    JEL classification:

    • R19 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Other
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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