top
We analyze axiomatic properties of three types of additive solutions of cooperative games with a priori unions structure. One of these is the Banzhaf value with a priori unions introduced by G. Owen (1981), which has not been axiomatically characterized as yet. Generalizing Owen's approach and the constructions discussed by J. Deegan and E. W. Packel (1979) and L. M. Ruiz, F. Valenciano and J. M. Zarzuelo (1996) we define and study two other solutions. These are the Deegan-Packel value with a priori unions and the least square prenucleolus with a priori unions.
Andrzej Młodak. "Three additive solutions of cooperative games with a priori unions." Applicationes Mathematicae 30.1 (2003): 69-87. <http://eudml.org/doc/278894>.
@article{AndrzejMłodak2003, abstract = {We analyze axiomatic properties of three types of additive solutions of cooperative games with a priori unions structure. One of these is the Banzhaf value with a priori unions introduced by G. Owen (1981), which has not been axiomatically characterized as yet. Generalizing Owen's approach and the constructions discussed by J. Deegan and E. W. Packel (1979) and L. M. Ruiz, F. Valenciano and J. M. Zarzuelo (1996) we define and study two other solutions. These are the Deegan-Packel value with a priori unions and the least square prenucleolus with a priori unions.}, author = {Andrzej Młodak}, journal = {Applicationes Mathematicae}, keywords = {TU game; Banzhat value; Deegan-Packel value; least square prenucleolus; a priori union}, language = {eng}, number = {1}, pages = {69-87}, title = {Three additive solutions of cooperative games with a priori unions}, url = {http://eudml.org/doc/278894}, volume = {30}, year = {2003}, }
TY - JOUR AU - Andrzej Młodak TI - Three additive solutions of cooperative games with a priori unions JO - Applicationes Mathematicae PY - 2003 VL - 30 IS - 1 SP - 69 EP - 87 AB - We analyze axiomatic properties of three types of additive solutions of cooperative games with a priori unions structure. One of these is the Banzhaf value with a priori unions introduced by G. Owen (1981), which has not been axiomatically characterized as yet. Generalizing Owen's approach and the constructions discussed by J. Deegan and E. W. Packel (1979) and L. M. Ruiz, F. Valenciano and J. M. Zarzuelo (1996) we define and study two other solutions. These are the Deegan-Packel value with a priori unions and the least square prenucleolus with a priori unions. LA - eng KW - TU game; Banzhat value; Deegan-Packel value; least square prenucleolus; a priori union UR - http://eudml.org/doc/278894 ER -