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Forming stable coalitions: The process matters

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  • Steven Brams

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  • Michael Jones
  • D. Kilgour

Abstract

Players are assumed to rank each other as coalition partners. Two processes of coalition formation are defined and illustrated: Fallback (FB): Players seek coalition partners by descending lower and lower in their preference rankings until some majority coalition, all of whose members consider each other mutually acceptable, forms. Build-up (BU): Same descent as FB, except only majorities whose members rank each other highest form coalitions. BU coalitions are stable in the sense that no member would prefer to be in another coalition, whereas FB coalitions, whose members need not rank each other highest, may not be stable. BU coalitions are bimodally distributed in a random society, with peaks around simple majority and unanimity; the distributions of majorities in the US Supreme Court and in the US House of Representatives follow this pattern. The dynamics of real-life coalition-formation processes are illustrated by two Supreme Court cases. Copyright Springer Science + Business Media, Inc. 2005

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Bibliographic Info

Article provided by Springer in its journal Public Choice.

Volume (Year): 125 (2005)
Issue (Month): 1 (July)
Pages: 67-94

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Handle: RePEc:kap:pubcho:v:125:y:2005:i:1:p:67-94

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Web page: http://www.springerlink.com/link.asp?id=100332

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References

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  1. Greenberg, J. & Weber, S., 1991. "Stable Coalition Structures with Unidimensional Set of Alternatives," Papers 9133, Tilburg - Center for Economic Research.
  2. Greenberg Joseph & Weber Shlomo, 1993. "Stable Coalition Structures with a Unidimensional Set of Alternatives," Journal of Economic Theory, Elsevier, vol. 60(1), pages 62-82, June.
  3. Antonio Romero-Medina & Katari´na Cechlárová, 2001. "Stability in coalition formation games," International Journal of Game Theory, Springer, vol. 29(4), pages 487-494.
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Citations

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Cited by:
  1. Annelies de Ridder & Agnieszka Rusinowska, 2008. "On Some Procedures of Forming a Multipartner Alliance," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 17(2), pages 443-487, 06.
  2. Eklund, Patrik & Rusinowska, Agnieszka & De Swart, Harrie, 2007. "Consensus reaching in committees," European Journal of Operational Research, Elsevier, vol. 178(1), pages 185-193, April.
  3. Steven Brams & D. Kilgour, 2013. "Kingmakers and leaders in coalition formation," Social Choice and Welfare, Springer, vol. 41(1), pages 1-18, June.
  4. repec:hal:cesptp:hal-00666849 is not listed on IDEAS
  5. Geir Asheim & Carl Claussen & Tore Nilssen, 2006. "Majority voting leads to unanimity," International Journal of Game Theory, Springer, vol. 35(1), pages 91-110, December.
  6. Manfred Holler & Stefan Napel, 2004. "Monotonicity of power and power measures," Theory and Decision, Springer, vol. 56(1), pages 93-111, April.
  7. Annelies de Ridder & Agnieszka Rusinowska & Elena Saiz & Eligius K.M. Hendrix, 2008. "Coalition formation: the role of procedure and policy flexibility," Working Papers 0806, Groupe d'Analyse et de Théorie Economique (GATE), Centre national de la recherche scientifique (CNRS), Université Lyon 2, Ecole Normale Supérieure.
  8. Steven Brams & Gustavo Camilo & Alexandra Franz, 2014. "Coalition formation on the U.S. Supreme Court: 1969–2009," Public Choice, Springer, vol. 158(3), pages 525-539, March.
  9. 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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