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Axiomatization of an allocation rule for ordered tree TU-games

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  • Béal, Sylvain
  • Ferrières, Sylvain
  • Rémila, Eric
  • Solal, Philippe

Abstract

We introduce the class of tree TU-games augmented by a linear order over the links, which reflects the formation process of the tree. We characterize a new allocation rule for this class of cooperative games by means of three axioms: Standardness, Top consistency and Link amalgamation. Then, we discuss both a bargaining foundation and two possible extensions for this allocation rule.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matsoc:v:93:y:2018:i:c:p:132-140
    DOI: 10.1016/j.mathsocsci.2018.03.003
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    1. Sylvain Béal & Eric Rémila & Philippe Solal, 2017. "A strategic implementation of the sequential equal surplus division rule for digraph cooperative games," Annals of Operations Research, Springer, vol. 253(1), pages 43-59, June.
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    1. Xun-Feng Hu & Deng-Feng Li, 2021. "The Equal Surplus Division Value for Cooperative Games with a Level Structure," Group Decision and Negotiation, Springer, vol. 30(6), pages 1315-1341, December.

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