Title
Characterizations of a multi-choice value
Abstract
.   A multi-choice game is a generalization of a cooperative game in which each player has several activity levels. We study the extended Shapley value as proposed by Derks and Peters (1993). Van den Nouweland (1993) provided a characterization that is an extension of Young's (1985) characterization of the Shapley value. Here we provide several other characterizations, one of which is the analogue of Shapley's (1953) original characterization. The three other characterizations are inspired by Myerson's (1980) characterization of the Shapley value using balanced contributions.
Year
DOI
Venue
1999
10.1007/s001820050123
Int. J. Game Theory
Keywords
Field
DocType
Key words: Multi-choice games,Shapley value,characterizations,balanced contributions
Mathematical economics,Mathematical optimization,Shapley value,Game theory,Bondareva–Shapley theorem,Example of a game without a value,Mathematics
Journal
Volume
Issue
ISSN
28
4
0020-7276
Citations 
PageRank 
References 
18
2.07
1
Authors
3
Name
Order
Citations
PageRank
Flip Klijn123335.55
Marco Slikker219146.31
José Zarzuelo3182.07