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The Core of Voting Games: A Partition Approach

Author

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  • Aymeric Lardon

    (University of Nice Sophia-Antipolis, GREDEG-UMR CNRS 7321, 250 rue Albert Einstein, 06560 Valbonne, France)

Abstract

The purpose of this paper is to analyze a class of voting games in a partition approach. We consider a society in which coalitions can be formed and where a finite number of voters have to choose among a set of alternatives. A coalition is winning if it can veto any proposed alternative. In our model, the veto power of a coalition is dependent on the coalition formation of the outsiders. We show that whether or not the core is non-empty depends crucially on the expectations of each coalition regarding outsiders' behavior when it wishes to veto an alternative. On the one hand, if each coalition has pessimistic expectations, then the core is non-empty if and only if the dimension of the set of alternatives is equal to one. On the other hand, if each coalition has optimistic expectations, the non-emptiness of the core is not ensured.

Suggested Citation

  • Aymeric Lardon, 2015. "The Core of Voting Games: A Partition Approach," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 17(03), pages 1-9.
    • Handle: RePEc:wsi:igtrxx:v:17:y:2015:i:03:n:s0219198915500012
    DOI: 10.1142/S0219198915500012
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    References listed on IDEAS

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    1. Moulin,Hervi, 1991. "Axioms of Cooperative Decision Making," Cambridge Books, Cambridge University Press, number 9780521424585, September.
    2. Hafalir, Isa E., 2007. "Efficiency in coalition games with externalities," Games and Economic Behavior, Elsevier, vol. 61(2), pages 242-258, November.
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    More about this item

    Keywords

    Voting games; partition approach; core; C71; D72;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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