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Stable syndicates of factor owners and distribution of social output: a Shapley value approach

Author

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  • Fabrice Valognes

    (CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR - Université de Rennes - CNRS - Centre National de la Recherche Scientifique)

  • Hélène Ferrer

    (CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR - Université de Rennes - CNRS - Centre National de la Recherche Scientifique)

  • Guillermo Owen

    (Department of Applied Mathematics [Monterey] - NPS - Naval Postgraduate School)

Abstract

The purpose of this paper is to examine the incentive of a player to join a syndicate in an environment of team production and payoff distribution according to Shapley value. We consider an economy in which a single output is produced by an increasing returns to scale production function using two inputs: labor and capital. By assuming that syndicates of factor owners can form, we are interested in their stability, i.e., the willingness of the members of the syndicate to stay in the syndicate. Our analysis, based on the Shapley value, allows us to find a fair imputation of the gains of cooperation and the conditions under which syndicates are stable.

Suggested Citation

  • Fabrice Valognes & Hélène Ferrer & Guillermo Owen, 2012. "Stable syndicates of factor owners and distribution of social output: a Shapley value approach," Post-Print halshs-00651185, HAL.
    • Handle: RePEc:hal:journl:halshs-00651185
    DOI: 10.1007/s00355-011-0622-6
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00651185
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    References listed on IDEAS

    as
    1. Guesnerie, Roger, 1977. "Monopoly, syndicate, and shapley value: About some conjectures," Journal of Economic Theory, Elsevier, vol. 15(2), pages 235-251, August.
    2. Hansen, Terje & Jaskold-Gabszewicz, Jean, 1972. "Collusion of factor owners and distribution of social output," Journal of Economic Theory, Elsevier, vol. 4(1), pages 1-18, February.
    3. Aumann, Robert J., 1973. "Disadvantageous monopolies," Journal of Economic Theory, Elsevier, vol. 6(1), pages 1-11, February.
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