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Free Solidarity Value

Author

Listed:
  • Ben Dhaou Bourheneddine

    (CNRS, CREM - UNICAEN - University of Caen Normandy - NU - Normandy University, France, Esplanade de Paix 14032 Caen FRANCE.)

  • Ziad Abderrahmane

    (CNRS, CREM - UNICAEN - University of Caen Normandy - NU - Normandy University, France and Laboratory of Computer Science and Mathematics, Ferhat Abbas University of Setif 1, Setif, Algeria)

Abstract

The paper proposes a solution for TU cooperative games in which solidary and non-solidary players coexist. The distinction between the two groups is that solidary players are able to support by consent at least one of their weaker partners, without disadvantaging non-solidary players. A value for games which takes into account the types of the players and satisfies some usual axioms is presented: Efficiency, Additivity, Symmetry among players who have the same type, Conditional null player, and a new axiom, the Unaffected Allocation of non-solidary players – (UA) – which is defined as follows: when players have the possibility of deciding freely in favor of solidarity, this should affect neither the allocations of non-solidary players nor the outcome of the game.

Suggested Citation

  • Ben Dhaou Bourheneddine & Ziad Abderrahmane, 2023. "Free Solidarity Value," Economics Working Paper Archive (University of Rennes & University of Caen) 2023-07, Center for Research in Economics and Management (CREM), University of Rennes, University of Caen and CNRS.
    • Handle: RePEc:tut:cremwp:2023-07
    as

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    References listed on IDEAS

    as
    1. Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December.
    2. Rong Zou & Wenzhong Li & Marc Uetz & Genjiu Xu, 2023. "Two-step Shapley-solidarity value for cooperative games with coalition structure," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 45(1), pages 1-25, March.
    3. Sylvain Béal & Eric Rémila & Philippe Solal, 2017. "Axiomatization and implementation of a class of solidarity values for TU-games," Theory and Decision, Springer, vol. 83(1), pages 61-94, June.
    4. Nowak, Andrzej S & Radzik, Tadeusz, 1994. "A Solidarity Value for n-Person Transferable Utility Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(1), pages 43-48.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Shapley Value; Nowak and Radzik value; the Free solidarity value; TU cooperative games.;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D60 - Microeconomics - - Welfare Economics - - - General

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