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Kingmakers and Leaders in Coalition Formation

Author

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  • Brams, Steven J.
  • Kilgour, Marc

Abstract

Assume that players strictly rank each other as coalition partners. We propose a procedure whereby they “fall back” on their preferences, yielding internally compatible, or coherent, majority coalition(s), which we call fallback coalitions. If there is more than one fallback coalition, the players common to them, or kingmakers, determine which fallback coalition will form. The players(s) who are the first to be acceptable to all other members of a fallback coalition are the leader(s) of that coalition. The effects of different preference assumptions—particularly, different kinds of single-peakedness—and of player weights on the number of coherent coalitions, their connectedness, and which players become kingmakers and leaders are investigated. The fallback procedure may be used (i) empirically to identify kingmakers and leaders or (ii) normatively to select them.

Suggested Citation

  • Brams, Steven J. & Kilgour, Marc, 2009. "Kingmakers and Leaders in Coalition Formation," Sustainable Development Papers 52337, Fondazione Eni Enrico Mattei (FEEM).
    • Handle: RePEc:ags:feemdp:52337
    DOI: 10.22004/ag.econ.52337
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    Cited by:

    1. is not listed on IDEAS
    2. Steven Brams & Gustavo Camilo & Alexandra Franz, 2014. "Coalition formation on the U.S. Supreme Court: 1969–2009," Public Choice, Springer, vol. 158(3), pages 525-539, March.

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    Keywords

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    JEL classification:

    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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