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An Algorithm for Stable and Equitable Coalition Structures with Public Goods

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Author Info
Fan-chin Kung (City University of Hong Kong & Academia Sinica)

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Abstract

We study the formation of coalitions that provide public goods to members. Individuals are linked on a tree graph and those with similar preferences are connected on the tree. We present a solution that selects allocations belonging to the coalition structure core and that are also envy-free.

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Publisher Info
Paper provided by EconWPA in its series Game Theory and Information with number 0409007.

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Date of creation: 12 Sep 2004
Date of revision: 05 May 2005
Handle: RePEc:wpa:wuwpga:0409007

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Related research
Keywords: Coalition formation; coalition structure core; envy-free; public goods; mechanism design;

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Find related papers by JEL classification:
C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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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. Grandmont, Jean-Michel, 1978. "Intermediate Preferences and the Majority Rule," Econometrica, Econometric Society, vol. 46(2), pages 317-30, March. [Downloadable!] (restricted)
  2. Herbert E. Scarf, 1965. "The Core of an N Person Game," Cowles Foundation Discussion Papers 182R, Cowles Foundation, Yale University. [Downloadable!]
  3. Gans, Joshua S. & Smart, Michael, 1996. "Majority voting with single-crossing preferences," Journal of Public Economics, Elsevier, vol. 59(2), pages 219-237, February. [Downloadable!] (restricted)
  4. Conley, John P. & Wooders, Myrna H., 1997. "Equivalence of the Core and Competitive Equilibrium in a Tiebout Economy with Crowding Types," Journal of Urban Economics, Elsevier, vol. 41(3), pages 421-440, May. [Downloadable!] (restricted)
  5. Wooders, Myrna, 1980. "The Tiebout Hypothesis: Near Optimality in Local Public Good Economies," Econometrica, Econometric Society, vol. 48(6), pages 1467-85, September. [Downloadable!] (restricted)
  6. Westhoff, Frank, 1977. "Existence of equilibria in economies with a local public good," Journal of Economic Theory, Elsevier, vol. 14(1), pages 84-112, February. [Downloadable!] (restricted)
  7. Mamoru Kaneko & Myrna Holtz Wooders, 1982. "Cores of Partitioning Games," Cowles Foundation Discussion Papers 620, Cowles Foundation, Yale University. [Downloadable!]
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  8. Guesnerie, Roger & Oddou, Claude, 1981. "Second best taxation as a game," Journal of Economic Theory, Elsevier, vol. 25(1), pages 67-91, August. [Downloadable!] (restricted)
    Other versions:
  9. Greenberg, J. & Weber, S., 1991. "Stable Coalition Structure with Unidimensional Set of Alternatives," Papers 91-11, York (Canada) - Department of Economics.
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  10. Demange, Gabrielle, 1994. "Intermediate preferences and stable coalition structures," Journal of Mathematical Economics, Elsevier, vol. 23(1), pages 45-58, January. [Downloadable!] (restricted)
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  11. Bewley, Truman F, 1981. "A Critique of Tiebout's Theory of Local Public Expenditures," Econometrica, Econometric Society, vol. 49(3), pages 713-40, May. [Downloadable!] (restricted)
  12. Le Breton, M & Owen, G & Weber, S, 1992. "Strongly Balanced Cooperative Games," International Journal of Game Theory, Springer, vol. 20(4), pages 419-27.
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  13. Conley, John P. & Wooders, Myrna, 1996. "Taste-homogeneity of optimal jurisdictions in a Tiebout economy with crowding types and endogenous educational investment choices," Ricerche Economiche, Elsevier, vol. 50(4), pages 367-387, December. [Downloadable!] (restricted)
  14. Wooders, Myrna, 1978. "Equilibria, the core, and jurisdiction structures in economies with a local public good," Journal of Economic Theory, Elsevier, vol. 18(2), pages 328-348, August. [Downloadable!] (restricted)
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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. Alejandro Saporiti, 2007. "Strategy-Proofness and Single-Crossing," Wallis Working Papers WP48, University of Rochester - Wallis Institute of Political Economy. [Downloadable!]
  2. Francesco Ciardiello & Crescenzio Gallo, 2009. "A Graph-Traversing Algorithm for Computing Some Stable Sets in Effectiveness Coalitional Games," Quaderni DSEMS 08-2009, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia. [Downloadable!]
  3. Alejandro Saporiti, 2008. "Strategy-Proofness and Single-Crossing," Wallis Working Papers WP55, University of Rochester - Wallis Institute of Political Economy. [Downloadable!]
    Other versions:
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