Coincidence of the Shapley value with other solutions satisfying covariance

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We identify the necessary and sufficient condition under which the Shapley value coincides with the prenucleolus for general TU games. For 0-normalized 3-person games, the coincidence holds if and only if the game is symmetric or satisfies the PS property (Kar et al., 2009). We also identify the necessary and sufficient coincidence condition in the following allocation problems: the airport games (Littlechild and Owen, 1973), the bidder collusion games (Graham et al., 1990) and the polluted river games (Ni and Wang, 2007). The coincidence between the Shapley value and the CIS and ENSC values is discussed as well.

Original languageEnglish
Pages (from-to)1-9
Number of pages9
JournalMathematical Social Sciences
Volume89
DOIs
Publication statusPublished - 2017 Sep 1

Keywords

  • Coincidence condition
  • Prenucleolus
  • Shapley value
  • TU games

ASJC Scopus subject areas

  • Sociology and Political Science
  • Social Sciences(all)
  • Psychology(all)
  • Statistics, Probability and Uncertainty

Fingerprint Dive into the research topics of 'Coincidence of the Shapley value with other solutions satisfying covariance'. Together they form a unique fingerprint.

Cite this