A SOLIDARITY VALUE FOR N-PERSON TRANSFERABLE UTILITY GAMES

Authors
Citation
As. Nowak et T. Radzik, A SOLIDARITY VALUE FOR N-PERSON TRANSFERABLE UTILITY GAMES, International journal of game theory, 23(1), 1994, pp. 43-48
Citations number
1
Categorie Soggetti
Social Sciences, Mathematical Methods","Mathematical, Methods, Social Sciences
ISSN journal
00207276
Volume
23
Issue
1
Year of publication
1994
Pages
43 - 48
Database
ISI
SICI code
0020-7276(1994)23:1<43:ASVFNT>2.0.ZU;2-0
Abstract
In this paper, we introduce axiomatically a new value for cooperative TU games satisfying the efficiency, additivity, and symmetry axioms of Shapley (1953) and some new postulate connected with the average marg inal contributions of the members of coalitions which can form. Our so lution is referred to as the solidarity value. The reason is that its interpretation can be based on the assumption that if a coalition, say S, forms, then the players who contribute to S more than the average marginal contribution of a member of S support in some sense their ''w eaker'' partners in S. Sometimes, it happens that the solidarity value belongs to the core of a game while the Shapley value does not.