A note on compromise values

Citation
J. Sanchez-soriano, A note on compromise values, MATH M O R, 51(3), 2000, pp. 471-478
Citations number
12
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL METHODS OF OPERATIONS RESEARCH
ISSN journal
14322994 → ACNP
Volume
51
Issue
3
Year of publication
2000
Pages
471 - 478
Database
ISI
SICI code
1432-2994(200008)51:3<471:ANOCV>2.0.ZU;2-6
Abstract
The aim of this note is to provide a unified theory of all compromise value s defined as the tau-value in cooperative game theory. The so-called covari ance property plays a crucial role in our approach and, related to this pro perty, a family of covariant compromise values is introduced. The mentioned characterization is obtained by means of the covariance, efficiency and ce rtain specific proportionality properties. We also prove that the Shapley v alue belongs to this family, when one is confined to the class of zero-norm alized games.