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Kingmakers and Leaders in Coalition Formation

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  • Marc Kilgour

    (Wilfrid Laurier University)

  • Steven J. Brams

    (New York University)

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.

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Bibliographic Info

Paper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2009.41.

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Date of creation: May 2009
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Handle: RePEc:fem:femwpa:2009.41

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Related research

Keywords: Coalition; Fallback Process; Kingmaker Leader; Cardinally Single-peaked; Ordinally Single-peaked;

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References

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  1. Steven Brams & Michael Jones & D. Kilgour, 2005. "Forming stable coalitions: The process matters," Public Choice, Springer, vol. 125(1), pages 67-94, July.
  2. I. D. Hill, 2008. "Mathematics and Democracy: Designing Better Voting and Fair-division Procedures," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 171(4), pages 1032-1033.
  3. Serguei Kaniovski & Dennis Leech, 2009. "A behavioral power index," Public Choice, Springer, vol. 141(1), pages 17-29, October.
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Cited by:
  1. Brams, Steven J. & Camilo, Gustavo & Franz, Alexandra D., 2011. "Coalition formation in the U.S. Supreme Court: 1969-2009," MPRA Paper 30390, University Library of Munich, Germany.

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