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Stability and Fairness in Models with a Multiple Membership

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Author Info

  • Michel Le Breton

    ()
    (IDEI, Toulouse)

  • Juan D. Moreno-Ternero

    ()
    (Department of Economic Theory, Universidad de Málaga)

  • Alexei Savvateev

    ()
    (New Economic School, Moscow)

  • Shlomo Weber

    ()
    (Southern Methodist University)

Abstract

This article studies a model of coalition formation for the joint production (and finance) of public projects, in which agents may belong to multiple coalitions. We show that, if projects are divisible, there always exists a stable (secession-proof) structure, i.e., a structure in which no coalition would reject a proposed arrangement. When projects are indivisible, stable allocations may fail to exist and, for those cases, we resort to the least core in order to estimate the degree of instability. We also examine the compatibility of stability and fairness in metric environments with indivisible projects, where we also explore the performance of well-known solutions, such as the Shapley value and the nucleolus.

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File URL: http://webdeptos.uma.es/THEconomica/malagawpseries/Papers/METCwp2010-10.pdf
File Function: First version, 2010
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Bibliographic Info

Paper provided by Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center in its series Working Papers with number 2010-10.

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Length: 44 pages
Date of creation: Dec 2010
Date of revision:
Handle: RePEc:mal:wpaper:2010-10

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Keywords: Stability; Fairness; Membership; Coalition Formation;

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  1. Jacques, DREZE & Michel, LE BRETON & Alexei , SAVVATEV & Sholmo, WEBER, 2007. "‘Almost’ subsidy-free spatial pricing in a multi-dimensional setting," Discussion Papers (ECON - Département des Sciences Economiques) 2007030, Université catholique de Louvain, Département des Sciences Economiques.
  2. HervÊ Moulin, 1999. "Incremental cost sharing: Characterization by coalition strategy-proofness," Social Choice and Welfare, Springer, vol. 16(2), pages 279-320.
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  5. Michel Le Breton & Shlomo Weber, 2003. "The Art of Making Everybody Happy: How to Prevent a Secession," IMF Staff Papers, Palgrave Macmillan, vol. 50(3), pages 4.
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  7. Etro, Federico & Ageloni, Ignazio & Alesina, Alberto, 2005. "International Unions," Scholarly Articles 4553008, Harvard University Department of Economics.
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  12. Montero, Maria, 2006. "Noncooperative foundations of the nucleolus in majority games," Games and Economic Behavior, Elsevier, vol. 54(2), pages 380-397, February.
  13. Moulin, Hervé, 2009. "Almost budget-balanced VCG mechanisms to assign multiple objects," Journal of Economic Theory, Elsevier, vol. 144(1), pages 96-119, January.
  14. Dutta, Bhaskar & Ray, Debraj, 1989. "A Concept of Egalitarianism under Participation Constraints," Econometrica, Econometric Society, vol. 57(3), pages 615-35, May.
  15. Bikhchandani, Sushil & Ostroy, Joseph M., 2002. "The Package Assignment Model," Journal of Economic Theory, Elsevier, vol. 107(2), pages 377-406, December.
  16. ReVelle, C.S. & Eiselt, H.A. & Daskin, M.S., 2008. "A bibliography for some fundamental problem categories in discrete location science," European Journal of Operational Research, Elsevier, vol. 184(3), pages 817-848, February.
  17. Jens Leth Hougaard & Lars Thorlund-Petersen & Bezalel Peleg, 2001. "On the set of Lorenz-maximal imputations in the core of a balanced game," International Journal of Game Theory, Springer, vol. 30(2), pages 147-165.
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