A Characterization of the Shapley Value based on “Equal Excess"

Shin Kobayashi ()
Additional contact information
Shin Kobayashi: Graduate School of Economics, Waseda University, 1-6-1 Nishiwaseda Shinjuku-ku, Tokyo 169-8050, Japan.

No 2120, Working Papers from Waseda University, Faculty of Political Science and Economics

Abstract: We examine the relationship between the Shapley value and the excess. Defining the excess of player i by summing up the excesses of all the coalitions to which i belongs, we introduce a condition equal excess. Using this condition, we prove that the Shapley value is characterized as a value satisfying the equal excess with respect to a reasonable weight function. This implies that the Shapley value attains the greatest benefits of the least advantaged players.

Keywords: Shapley value; Equal excess; Difference principle; Least square values (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Pages: 18 pages
Date: 2021-12
New Economics Papers: this item is included in nep-gth
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.waseda.jp/fpse/winpec/assets/uploads/2021/12/E2120_version.pdf First 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:wap:wpaper:2120

Access Statistics for this paper

More papers in Working Papers from Waseda University, Faculty of Political Science and Economics Contact information at EDIRC.
Bibliographic data for series maintained by Haruko Noguchi ().