Three additive solutions of cooperative games 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 -