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

Sylvain Béal, Sylvain Ferrières (), Eric Rémila and Philippe Solal
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Sylvain Ferrières: Université de Bourgogne Franche-Comté, CRESE

No 2017-11, Working Papers from CRESE

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.

Keywords: Amalgamation; Bargaining; Consistency; Tree TU-games; Total order (search for similar items in EconPapers)
Pages: 21 pages
Date: 2017-07
New Economics Papers: this item is included in nep-des, nep-gth and nep-mic
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Published in Mathematical Social Sciences, Volume 93, May 2018, Pages 132-140

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Related works:
Working Paper: Axiomatic and bargaining foundation of an allocation rule for ordered tree TU-games (2017)
Working Paper: Axiomatic and bargaining foundation of an allocation rule for ordered tree TU-games (2017)
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Persistent link: https://EconPapers.repec.org/RePEc:crb:wpaper:2017-11

DOI: 10.1016/j.mathsocsci.2018.03.003

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