caa a22 4500 477048374 CHVBK 20180405111336.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF01254388 doi (NATIONALLICENCE)springer-10.1007/BF01254388 The least square prenucleolus and the least square nucleolus. Two values for TU games based on the excess vector [Elektronische Daten] [Luis Ruiz, Federico Valenciano, Jose Zarzuelo] The nucleolus and the prenucleolus are solution concepts for TU games based on the excess vector that can be associated to any payoff vector. Here we explore some solution concepts resulting from a payoff vector selection based also on the excess vector but by means of an assessment of their relative fairness different from that given by the lexicographical order. We take the departure consisting of choosing the payoff vector which minimizes the variance of the resulting excesses of the coalitions. This procedure yields two interesting solution concepts, both a prenucleolus-like and a nucleolus-like notion, depending on which set is chosen to set up the minimizing problem: the set of efficient payoff vectors or the set of inputations. These solution concepts, which, paralleling the prenucleolus and the nucleolus, we call least square prenucleolus and least square nucleolus, are easy to calculate and exhibit nice properties. Different axiomatic characterizations of the former are established, some of them by means of consistency for a reasonable reduced game concept. Physica-Verlag, 1996 Ruiz Luis Departamento de Economia Aplicada I, Universidad del País Vasco, Facultad de Ciencias Ecońomicas, Avenida Lehendakari Aguirre, 83, 48015, Bilbao, Spain aut Valenciano Federico Departamento de Economia Aplicada I, Universidad del País Vasco, Facultad de Ciencias Ecońomicas, Avenida Lehendakari Aguirre, 83, 48015, Bilbao, Spain aut Zarzuelo Jose Departamento de Economia Aplicada I, Universidad del País Vasco, Facultad de Ciencias Ecońomicas, Avenida Lehendakari Aguirre, 83, 48015, Bilbao, Spain aut International Journal of Game Theory Physica-Verlag 25/1(1996-03-01), 113-134 0020-7276 25:1<113 1996 25 182 https://doi.org/10.1007/BF01254388 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01254388 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ruiz Luis Departamento de Economia Aplicada I, Universidad del País Vasco, Facultad de Ciencias Ecońomicas, Avenida Lehendakari Aguirre, 83, 48015, Bilbao, Spain aut NATIONALLICENCE 700 1- Valenciano Federico Departamento de Economia Aplicada I, Universidad del País Vasco, Facultad de Ciencias Ecońomicas, Avenida Lehendakari Aguirre, 83, 48015, Bilbao, Spain aut NATIONALLICENCE 700 1- Zarzuelo Jose Departamento de Economia Aplicada I, Universidad del País Vasco, Facultad de Ciencias Ecońomicas, Avenida Lehendakari Aguirre, 83, 48015, Bilbao, Spain aut NATIONALLICENCE 773 0- International Journal of Game Theory Physica-Verlag 25/1(1996-03-01), 113-134 0020-7276 25:1<113 1996 25 182 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer