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Convex multi-choice cooperative games and their monotonic allocation schemes

Brânzei,R.
; 
Tijs,S.H.
; 
Zarzuelo,J.
Abstract
This paper focuses on new characterizations of convex multi-choice games using the notions of exactness and superadditivity. Further- more, (level-increase) monotonic allocation schemes (limas) on the class of convex multi-choice games are introduced and studied. It turns out that each element of the Weber set of such a game is ex- tendable to a limas, and the (total) Shapley value for multi-choice games generates a limas for each convex multi-choice game.
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Appeared earlier as CentER DP 2007-54 (rt)
Date
2009
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Tilburg University Research Output Collection
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Brânzei, R, Tijs, S H & Zarzuelo, J 2009, 'Convex multi-choice cooperative games and their monotonic allocation schemes', European Journal of Operational Research, vol. 198, no. 2, pp. 571-575.
URI
https://hdl.handle.net/20.500.14602/50529
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