Kingmakers and Leaders in Coalition Formation
AbstractAssume 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 InfoPaper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2009.41.
Date of creation: May 2009
Date of revision:
Coalition; Fallback Process; Kingmaker Leader; Cardinally Single-peaked; Ordinally Single-peaked;
Other versions of this item:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
- D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-07-28 (All new papers)
- NEP-CDM-2009-07-28 (Collective Decision-Making)
- NEP-GTH-2009-07-28 (Game Theory)
- NEP-NET-2009-07-28 (Network Economics)
- NEP-POL-2009-07-28 (Positive Political Economics)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Steven Brams & Michael Jones & D. Kilgour, 2005.
"Forming stable coalitions: The process matters,"
Springer, vol. 125(1), pages 67-94, July.
- 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.
- 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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