Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/87558 
Year of Publication: 
2013
Series/Report no.: 
Tinbergen Institute Discussion Paper No. 13-093/II
Publisher: 
Tinbergen Institute, Amsterdam and Rotterdam
Abstract: 
Generalized characteristic functions extend characteristic functions of 'classical' TU-games by assigning a real number to every ordered coalition being a permutation of any subset of the player set. Such generalized characteristic functions can be applied when the earnings or costs of cooperation among a set of players depends on the order in which the players enter a coalition. In the literature, the two main solutions for generalized characteristic functions are the one of Nowak and Radzik (1994), shortly called NR-value, and the one introduced by Sanchez and Bergantinos (1997), shortly called SB-value. In this paper, we introduce the axiom of order monotonicity with respect to the order of the players in a unanimity coalition, requiring that players who enter earlier should get not more in the corresponding (ordered) unanimity game than players who enter later. We propose several classes of order monotonic solutions for generalized characteristic functions that contain the NR-value and SB-value as special (extreme) cases. We also provide axiomatizations of these classes.
Subjects: 
Cooperative TU-game
generalized characteristic function
order monotonicity
JEL: 
C71
Document Type: 
Working Paper

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