Two extensions of the Shapley value for cooperative games

Authors
Driessen, TSH Paulusma, D
Citation
Tsh. Driessen et D. Paulusma, Two extensions of the Shapley value for cooperative games, MATH M O R, 53(1), 2001, pp. 35-49
Citations number
11
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL METHODS OF OPERATIONS RESEARCH
ISSN journal
14322994 → ACNP
Volume
53
Issue
1
Year of publication
2001
Pages
35 - 49
Database
ISI
SICI code
1432-2994(200104)53:1<35:TEOTSV>2.0.ZU;2-K
Abstract
Two extensions of the Shapley value are given. First we consider a probabil istic framework in which certain consistent allocation rules such as the Sh apley value are characterized. The second generalization of the Shapley val ue is an extension to the structure of posets by means of a recursive form. In the latter setting, the Shapley value for quasi-concave games is shown to be a core-allocation.