In the framework of cooperative game theory,Sobolev(Advances in game theory,Izdat.,“Minitis”,Vilnius,pp 151–153,1973)axiomatized the well-known Shapley value by means of consistency property with reference to a spe...In the framework of cooperative game theory,Sobolev(Advances in game theory,Izdat.,“Minitis”,Vilnius,pp 151–153,1973)axiomatized the well-known Shapley value by means of consistency property with reference to a specifically chosen reduced game.The goal of this paper is to generalize Sobolev’s consistency approach to the class of efficient,symmetric and linear values.展开更多
基金This work was supported by the National Natural Science Foundation of China(Nos.11402194,71671140 and 71271171).
文摘In the framework of cooperative game theory,Sobolev(Advances in game theory,Izdat.,“Minitis”,Vilnius,pp 151–153,1973)axiomatized the well-known Shapley value by means of consistency property with reference to a specifically chosen reduced game.The goal of this paper is to generalize Sobolev’s consistency approach to the class of efficient,symmetric and linear values.