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Asymmetric majority pillage games

Author

Listed:
  • Manfred Kerber

    (University of Birmingham)

  • Colin Rowat

    (University of Birmingham)

  • Naoki Yoshihara

    (University of Massachusetts
    Hitotsubashi University
    Kochi University of Technology)

Abstract

We study pillage games (Jordan in J Econ Theory 131(1):26–44, 2006), which model unstructured power contests. To enable empirical tests of pillage game theory, we relax a symmetry assumption that agents’ intrinsic contributions to a coalition’s power is identical. We characterise the core for all n. In the three-agent game: (i) only eight configurations are possible for the core, which contains at most six allocations; (ii) for each core configuration, the stable set is either unique or fails to exist; (iii) the linear power function creates a tension between a stable set’s existence and the interiority of its allocations, so that only special cases contain strictly interior allocations. Our analysis suggests that non-linear power functions may offer better empirical tests of pillage game theory.

Suggested Citation

  • Manfred Kerber & Colin Rowat & Naoki Yoshihara, 2023. "Asymmetric majority pillage games," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(4), pages 1009-1035, December.
    • Handle: RePEc:spr:jogath:v:52:y:2023:i:4:d:10.1007_s00182-023-00859-y
    DOI: 10.1007/s00182-023-00859-y
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    References listed on IDEAS

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    More about this item

    Keywords

    Power contests; Core; Stable sets;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • P14 - Political Economy and Comparative Economic Systems - - Capitalist Economies - - - Property Rights

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