Kingmakers and Leaders in Coalition Formation
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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- Steven J. Brams & Michael A. Jones & D.Marc Kilgour, 2003.
"Forming Stable Coalitions: The Process Matters,"
2003.97, Fondazione Eni Enrico Mattei.
- 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.
- Steven J. Brams & Michael A. Jones & D. Marc Kilgour, 2002.
"Single-Peakedness and Disconnected Coalitions,"
Journal of Theoretical Politics,
, vol. 14(3), pages 359-383, July.
- Kaniovski, Serguei & Leech, Dennis, 2007.
"A Behavioural Power Index,"
The Warwick Economics Research Paper Series (TWERPS)
831, University of Warwick, Department of Economics.
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