Axiomatization of the Shapley value using the balanced cycle contributions property

Yoshio Kamijo, Takumi Kongo

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

This paper presents an axiomatization of the Shapley value. The balanced cycle contributions property is the key axiom in this paper. It requires that, for any order of all the players, the sum of the claims from each player against his predecessor is balanced with the sum of the claims from each player against his successor. This property is satisfied not only by the Shapley value but also by some other values for TU games. Hence, it is a less restrictive requirement than the balanced contributions property introduced by Myerson (International Journal of Game Theory 9, 169-182, 1980).

Original languageEnglish
Pages (from-to)563-571
Number of pages9
JournalInternational Journal of Game Theory
Volume39
Issue number4
DOIs
Publication statusPublished - 2010

Keywords

  • Axiomatization
  • Balanced cycle contributions property
  • Shapley value

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics (miscellaneous)
  • Social Sciences (miscellaneous)
  • Economics and Econometrics
  • Statistics, Probability and Uncertainty

Fingerprint Dive into the research topics of 'Axiomatization of the Shapley value using the balanced cycle contributions property'. Together they form a unique fingerprint.

  • Cite this