RT Journal Article
T1 Order monotonic solutions for generalized characteristic functions
A1 Van den Brink, René
A1 González Arangüena, Enrique
A1 Manuel García, Conrado Miguel
A1 Pozo Juan, Mónica
A2 Słowiński, R.
A2 Borgonovo E., 
AB 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 depend 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.
PB Elsevier
SN 0377-2217
YR 2014
FD 2014-11-01
LK https://hdl.handle.net/20.500.14352/102148
UL https://hdl.handle.net/20.500.14352/102148
LA eng
NO Van den Brink, R., González-Arangüena, E., Manuel, C., & del Pozo, M. (2014). Order monotonic solutions for generalized characteristic functions. European Journal of Operational Research, 238(3), 786–786.
DS Docta Complutense
RD 8 abr 2025