Stability and fairness in models with a multiple membership

Michel Le Breton, Juan Moreno-Ternero, Alexey Savvateev () and Shlomo Weber
Additional contact information
Michel Le Breton: Université de Toulouse 1, GREMAQ and IDEI, Toulouse, France
Shlomo Weber: Southern Methodist University, Dallas, USA and New Economic School, Moscow, Russia

No 2010079, LIDAM Discussion Papers CORE from Université catholique de Louvain, Center for Operations Research and Econometrics (CORE)

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.

Keywords: stability; fairness; membership; coalition formation (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Date: 2010-12-01
New Economics Papers: this item is included in nep-gth, nep-mic, nep-net and nep-ppm
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https://sites.uclouvain.be/core/publications/coredp/coredp2010.html (application/pdf)

Related works:
Journal Article: Stability and fairness in models with a multiple membership (2013)
Working Paper: Stability and fairness in models with a multiple membership (2013)
Working Paper: Stability and Fairness in Models with a Multiple Membership (2012)
Working Paper: Stability and Fairness in Models with a Multiple Membership (2012)
Working Paper: Stability and Fairness in Models with a Multiple Membership (2010)
Working Paper: Stability and Fairness in Models with a Multiple Membership (2010)
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