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Axiomatic and bargaining foundations of an allocation rule for ordered tree TU-games

Author

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  • Sylvain Béal

    (Université de Bourgogne Franche-Comté, CRESE)

  • Sylvain Ferrières

    (Université de Bourgogne Franche-Comté, CRESE)

  • Eric Rémila

    (Université de Saint-Etienne, Gate)

  • Phillippe Solal

    (Université de Saint-Etienne, Gate)

Abstract

We introduce the class of tree TU-games augmented by a total order over the links which re ects the formation process of the tree. We first characterize a new allocation rule for this class of cooperative games by means of three axioms, Standardness, Top-consistency and Link Amalgamation. Then, we provide a bargaining foundation for this allocation rule by designing a mechanism, including a bidding stage followed by a bargaining stage, which supports this allocation rule in subgame Nash equilibrium provided that the underlying game is superadditive.

Suggested Citation

  • Sylvain Béal & Sylvain Ferrières & Eric Rémila & Phillippe Solal, 2017. "Axiomatic and bargaining foundations of an allocation rule for ordered tree TU-games," Working Papers 2017-11, CRESE.
    • Handle: RePEc:crb:wpaper:2017-11
    DOI: https://doi.org/10.1016/j.mathsocsci.2018.03.003
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    Keywords

    Amalgamation; Bargaining; Consistency; Tree TU-games; Total order;
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