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Power Indices When Players can Commit to Reject Coalitions

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  • László Á. Kóczy

    (Hungarian Academy of Sciences
    Óbuda University)

Abstract

Power indices have been used to evaluate the allocation of power in a wide range of voting situations. While they use the language of game theory, known measures of a priori voting power are hardly more than statistical expectations assuming the players’ random behaviour. We introduce a model where players can reject certain partnerships in cooperation. For normalised power indices strategic rejection may increase power. Our notion of a strategic power index is well defined if power is measured by an index that takes only minimal winning coalitions into account.

Suggested Citation

  • László Á. Kóczy, 2016. "Power Indices When Players can Commit to Reject Coalitions," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 33(1), pages 77-91, August.
    • Handle: RePEc:spr:homoec:v:33:y:2016:i:1:d:10.1007_s41412-016-0002-7
    DOI: 10.1007/s41412-016-0002-7
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    Cited by:

    1. László Á. Kóczy, 2018. "Partition Function Form Games," Theory and Decision Library C, Springer, number 978-3-319-69841-0, July.
    2. Tobias Hiller, 2018. "The Effects of Excluding Coalitions," Games, MDPI, vol. 9(1), pages 1-7, January.

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    More about this item

    Keywords

    Quarrelling; Rejected coalitions; A priori voting power; Power indices; Minimal winning coalitions; Rational players;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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