The Shapley Value for Upstream Responsibility Games

Anna Radványi

Corvinus Economics Working Papers (CEWP) from Corvinus University of Budapest

Abstract: In this paper sharing the cost of emission in supply chains are considered. We focus on allocation problems that can be described by rooted trees, called cost-tree problems, and on the induced transferable utility cooperative games, called upstream responsibility games (Gopalakrishnan et al., 2017). The formal notion of upstream responsibility games is introduced, and the characterization of the class of these games is provided. The Shapley value (Shapley, 1953) is probably the most popular value for transferable utility cooperative games. Dubey (1982) and Moulin and Shenker (1992) show respectively, that Shapley (1953)’s and Young (1985)’s axiomatizations of the Shapley value are valid on the class of airport games. We extend Dubey's and Moulin and Shenker's results onto the class of upstream responsibility games, that is, we provide two characterizations of the Shapley value for upstream responsibility games.

Keywords: upstream responsibility games; cost sharing; emission; supply chain; shapley value; rooted tree; axiomatization of the shapley value (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Date: 2018-11-18
New Economics Papers: this item is included in nep-gth, nep-ore and nep-upt
References: Add references at CitEc
Citations:

Downloads: (external link)
https://unipub.lib.uni-corvinus.hu/3779/ original version (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:cvh:coecwp:2018/06

Access Statistics for this paper

More papers in Corvinus Economics Working Papers (CEWP) from Corvinus University of Budapest 1093 Budapest, Fõvám tér 8.. Contact information at EDIRC.
Bibliographic data for series maintained by Adam Hoffmann ().