Van den Brink, RenéGonzález Arangüena, EnriqueManuel García, Conrado MiguelPozo Juan, MónicaSłowiński, R.Borgonovo E.2024-03-122024-03-122014-11-01Van 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), 786–786.0377-221710.1016/j.ejor.2014.04.016https://hdl.handle.net/20.500.14352/102148Generalized 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.engjournal article1872-6860https://doi.org/10.1016/j.ejor.2014.04.016https://www.sciencedirect.com/science/article/pii/S0377221714003257?via%3Dihubopen access519.2517.5519.813Game theoryCooperative TU-gameGeneralized characteristic functionOrder monotonicityEstadísticaFunciones (Matemáticas)Teoría de Juegos1209 Estadística1206 Análisis Numérico1207.06 Teoría de Juegos