Premium
Multilinear extensions and quotients of simple games
Author(s) -
Amer R.,
Carreras F.,
Magaña A.,
Owen G.
Publication year - 1996
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/(sici)1520-6750(199602)43:1<103::aid-nav6>3.0.co;2-f
Subject(s) - multilinear map , simple (philosophy) , shapley value , quotient , mathematical economics , value (mathematics) , mathematics , game theory , cooperative game theory , series (stratigraphy) , computer science , algebra over a field , pure mathematics , statistics , epistemology , philosophy , paleontology , biology
Abstract Studied here is the problem of evaluating the formation of coalitions in cooperative games by considering its internal and external effects. Our analysis is based upon a formal theory of the quotient game and the use of multilinear extensions to compute the Shapley value and the coalitional value. When it applies to simple games, a series of interesting results is obtained. © 1996 John Wiley & Sons, Inc.