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 first player(s) acceptable to all other members of a fallback coalition are the leader(s) of that coalition. The effects of different preference assumption--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. We illustrate and test the model by applying it to coalition formation on the U.S. Supreme Court, 2005-2009, which shows the build-up over stages of a conservative coalition that prevailed in nearly half of the 5-4 decisions.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 22710.
Date of creation: Mar 2010
Date of revision:
coalition formation; fallback procedure; kingmakers; leaders; US Supreme Court;
Other versions of this item:
- 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
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-05-22 (All new papers)
- NEP-CDM-2010-05-22 (Collective Decision-Making)
- NEP-GTH-2010-05-22 (Game Theory)
- NEP-NET-2010-05-22 (Network Economics)
- NEP-POL-2010-05-22 (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 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.
- 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.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Ekkehart Schlicht).
If references are entirely missing, you can add them using this form.