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The Free Solidarity Value

Author

Listed:
  • Bourheneddine Ben Dhaou

    (CREM, UMR CNRS 6211, Normandy University, University of Caen Basse-Normandie)

  • Abderrahmane Ziad

    (CREM, UMR CNRS 6211, Normandy University, University of Caen Basse-Normandie)

Abstract

In this paper, we consider a cooperative game in which two types of players co-exist: solidary and non solidary players. Solidary players are able to support by consent at least one of their weaker partners without disadvantaging non-solidary players. We present a value of the game which takes ito account the types of players and satisfies some appropriate axioms: Efficiency, Additivity, Symmetry among players who have the same type, Conditional null player, and a new axiom, the Unaffected Allocation of nonsolidary players - (UA) - which is defined as follows: when players have the possibility to decide freely to be solidary, this should affect neither the allocations of non-solidary players, nor the outcome of the game.

Suggested Citation

  • Bourheneddine Ben Dhaou & Abderrahmane Ziad, 2015. "The Free Solidarity Value," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 201508, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
    • Handle: RePEc:tut:cremwp:201508
    as

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    References listed on IDEAS

    as
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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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