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Kingmakers and leaders in coalition formation

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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, orcoherent, majority coalition(s), which we callfallback coalitions. If there is more than one fallback coalition, the players common to them, orkingmakers, determine which fallback coalition will form. The first player(s) acceptable to all other members of a fallback coalition are theleader(s) of that coalition. The effects of different preference assumptions—particularly, different kinds of single-peakedness—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. We illustrate the model using data from the U.S. Supreme Court, 2005–2009.

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Author information

Authors and Affiliations

  1. Department of Politics, New York University, New York, NY, 10012, USA

    Steven J. Brams

  2. Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, N2L 3C5, Canada

    D. Marc Kilgour

Authors
  1. Steven J. Brams

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  2. D. Marc Kilgour

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Correspondence toSteven J. Brams.

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