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Coalition Formation in Political Games

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Author Info
Daron Acemoglu (MIT)
Georgy Egorov (Harvard)
Konstantin Sonin () (CEFIR)

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Abstract

We study the formation of a ruling coalition in political environments. Each individual is endowed with a level of political power. The ruling coalition consists of a subset of the individuals in the society and decides the distribution of resources. A ruling coalition needs to contain enough powerful members to win against any alternative coalition that may challenge it, and it needs to be self-enforcing, in the sense that none of its subcoalitions should be able to secede and become the new ruling coalition. We first present an axiomatic approach that captures these notions and determines a (generically) unique ruling coalition. We then construct a simple dynamic game that encompasses these ideas and prove that the sequentially weakly dominant equilibria (and the Markovian trembling hand perfect equilibria) of this game coincide with the set of ruling coalitions of the axiomatic approach. We also show the equivalence of these notions to the core of a related non-transferable utility cooperative game. In all cases, the nature of the ruling coalition is determined by the power constraint, which requires that the ruling coalition be powerful enough, and by the enforcement constraint, which imposes that no subcoalition of the ruling coalition that commands a majority is self-enforcing. The key insight that emerges from this characterization is that the coalition is made self-enforcing precisely by the failure of its winning subcoalitions to be self-enforcing. This is most simply illustrated by the following simple finding: with simple majority rule, while three-person (or larger) coalitions can be self-enforcing, two-person coalitions are generically not self-enforcing. Therefore, the reasoning in this paper suggests that three-person juntas or councils should be more common than two-person ones. In addition, we provide conditions under which the grand coalition will be the ruling coalition and conditions under which the most powerful individuals will not be included in the ruling coalition. We also use this framework to discuss endogenous party formation.

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Publisher Info
Paper provided by Center for Economic and Financial Research (CEFIR) in its series Working Papers with number w0090.

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Length: 58 pages
Date of creation: Nov 2006
Date of revision:
Handle: RePEc:cfr:cefirw:w0090

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Related research
Keywords: Coalition Formation; Collective Choice; Cooperative Game Theory; Political Economy; Self-Enforcing Coalitions; Stability;

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Find related papers by JEL classification:
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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References listed on IDEAS
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.:
  1. Moldovanu, Benny, 1992. "Coalition-proof nash equilibria and the core in three-player games," Games and Economic Behavior, Elsevier, vol. 4(4), pages 565-581, October. [Downloadable!] (restricted)
  2. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, January.
    Other versions:
  3. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July. [Downloadable!] (restricted)
  4. Peleg, Bezalel & Rosenmuller, Joachim, 1992. "The least core, nucleolus, and kernel of homogeneous weighted majority games," Games and Economic Behavior, Elsevier, vol. 4(4), pages 588-605, October. [Downloadable!] (restricted)
  5. Chwe Michael Suk-Young, 1994. "Farsighted Coalitional Stability," Journal of Economic Theory, Elsevier, vol. 63(2), pages 299-325, August. [Downloadable!] (restricted)
  6. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April. [Downloadable!] (restricted)
  7. Peleg, Bezalel, 1980. "A theory of coalition formation in committees," Journal of Mathematical Economics, Elsevier, vol. 7(2), pages 115-134, July. [Downloadable!] (restricted)
  8. 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. [Downloadable!] (restricted)
  9. Debraj Ray & Rajiv Vohra, 2001. "Coalitional Power and Public Goods," Journal of Political Economy, University of Chicago Press, vol. 109(6), pages 1355-1384, December. [Downloadable!] (restricted)
  10. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June. [Downloadable!] (restricted)
  11. Greenberg, J. & Weber, S., 1991. "Stable Coalition Structures with Unidimensional Set of Alternatives," Papers 9133, Tilburg - Center for Economic Research.
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  12. Hideo Konishi & Debraj Ray, 2000. "Coalition Formation as a Dynamic Process," Boston College Working Papers in Economics 478, Boston College Department of Economics, revised 15 Apr 2002. [Downloadable!]
    Other versions:
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Cited by:
(explanations, 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.)

  1. Andreas Schäfer & Thomas Steger, 2007. "Macroeconomic Consequences of Distributional Conflicts," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
  2. Michel Breton & Ignacio Ortuño-Ortin & Shlomo Weber, 2008. "Gamson’s law and hedonic games," Social Choice and Welfare, Springer, vol. 30(1), pages 57-67, January. [Downloadable!] (restricted)
  3. LE BRETON, Michel & ORTUNO-ORTIN, Ignacio & WEBER, Shlomo, 2006. "Gamson's Law and Hedonic Games," IDEI Working Papers 420, Institut d'Économie Industrielle (IDEI), Toulouse. [Downloadable!]
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