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Stability and Fairness in Models with a Multiple Membership

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  • Le Breton, Michel
  • Moreno-Ternero, Juan D.
  • Savvateev, Alexei
  • Weber, Shlomo

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 in-divisible, 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 on metric environments with indivisible projects. To do so, we explore, among other things, the performance of several well-known solutions (such as the Shapley value, the nucleolus, or the Dutta-Ray value) in these environments.

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Paper provided by Toulouse School of Economics (TSE) in its series TSE Working Papers with number 12-300.

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Date of creation: May 2012
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Publication status: Published in International Journal of Game Theory, vol.�42, n°3, août 2013, p.�673-694.
Handle: RePEc:tse:wpaper:25806

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  1. Alesina, Alberto F & Angeloni, Ignazio & Etro, Federico, 2003. "International Unions," CEPR Discussion Papers 3913, C.E.P.R. Discussion Papers.
  2. 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.
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  8. 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.
  9. 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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  12. Javier Arin & Elena Inarra, 2001. "Egalitarian solutions in the core," International Journal of Game Theory, Springer, vol. 30(2), pages 187-193.
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