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Discounted Tree Solutions

Author

Listed:
  • Sylvain Béal

    (Université de Bourgogne Franche-Comté, CRESE)

  • Eric Rémila

    (Université de Saint-Etienne, Gate)

  • Phillippe Solal

    (Université de Saint-Etienne, Gate)

Abstract

This article introduces a discount parameter and a weight function in Myerson's (1977) classical model of cooperative games with restrictions on cooperation. The discount parameter aims to re ect the time preference of the agents while the weight function aims to re ect the importance of each node of a graph. We provide axiomatic characterizations of two types of solution that are inspired by the hierarchical outcomes (Demange, 2004).

Suggested Citation

  • Sylvain Béal & Eric Rémila & Phillippe Solal, 2015. "Discounted Tree Solutions," Working Papers 2015-18, CRESE.
    • Handle: RePEc:crb:wpaper:2015-18
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    References listed on IDEAS

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    Cited by:

    1. Sylvain Béal & Eric Rémila & Philippe Solal, 2022. "Allocation rules for cooperative games with restricted communication and a priori unions based on the Myerson value and the average tree solution," Journal of Combinatorial Optimization, Springer, vol. 43(4), pages 818-849, May.
    2. Béal, Sylvain & Ferrières, Sylvain & Rémila, Eric & Solal, Philippe, 2018. "Axiomatization of an allocation rule for ordered tree TU-games," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 132-140.

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    More about this item

    Keywords

    Graph games; discount parameter; weight function; discounted tree solutions; invariance with respect to cone amalgamation; generalized standardness; delta-reducing agent;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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