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Stable Coalition-Governments: The Case of Three Political Parties

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Author Info
M. Socorro Puy () (Department of Economic Theory, Universidad de Málaga)

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Abstract

We explore to what extent we can propose fixed negotiation rules as well as simple mechanisms (or protocols) that guarantee that politi¬cal parties can form stable coalition-governments. We analyze the case where three parties can hold office in the form of two-party coalitions. We define the family of Weighted Rules, that select political agree¬ments as a function of the bliss-points of the parties, and electoral results (Camson's Law and equal-share among others are included). We show that every weighted rule yields a stable coalition. We make use of the theory of implementation to design a protocol (in the form of a mechanism) that guarantees that a stable coalition will govern. We find that no dominant-solvable mechanism can be used for this purpose, but there is a simultaneous-unanimity mechanism that im¬plements it in Nash and strong Nash equilibrium.

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Publisher Info
Paper provided by Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center in its series Working Papers with number 2009-3.

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Length: 24 pages
Date of creation: Jun 2009
Date of revision:
Handle: RePEc:mal:wpaper:2009-3

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Related research
Keywords: Coalition-government; Stability; Nash-implementation;

Find related papers by JEL classification:
D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Models of Political Processes: Rent-seeking, Elections, Legislatures, and Voting Behavior

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References listed on IDEAS
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  1. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer, vol. 18(1), pages 135-153. [Downloadable!] (restricted)
    Other versions:
  2. Schofield, Norman, 1983. "Generic Instability of Majority Rule," Review of Economic Studies, Blackwell Publishing, vol. 50(4), pages 695-705, October. [Downloadable!] (restricted)
  3. Grossman, Gene M & Helpman, Elhanan, 1996. "Electoral Competition and Special Interest Politics," Review of Economic Studies, Blackwell Publishing, vol. 63(2), pages 265-86, April. [Downloadable!] (restricted)
    Other versions:
  4. Daniel Diermeier & Hulya Eraslan & Antonio Merlo, 2003. "A Structural Model of Government Formation," Econometrica, Econometric Society, vol. 71(1), pages 27-70, January. [Downloadable!] (restricted)
  5. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer. [Downloadable!] (restricted)
  6. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer, vol. 18(4), pages 655-708. [Downloadable!] (restricted)
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  7. Serrano Roberto, 1995. "A Market to Implement the Core," Journal of Economic Theory, Elsevier, vol. 67(1), pages 285-294, October. [Downloadable!] (restricted)
  8. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February. [Downloadable!] (restricted)
  9. Bloch, Francis, 1996. "Sequential Formation of Coalitions in Games with Externalities and Fixed Payoff Division," Games and Economic Behavior, Elsevier, vol. 14(1), pages 90-123, May. [Downloadable!] (restricted)
  10. Amoros, Pablo & Corchon, Luis C. & Moreno, Bernardo, 2002. "The Scholarship Assignment Problem," Games and Economic Behavior, Elsevier, vol. 38(1), pages 1-18, January. [Downloadable!] (restricted)
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