Axiomatization of values of cooperative games using a fairness property

Andrzej Młodak. "Axiomatization of values of cooperative games using a fairness property." Applicationes Mathematicae 32.1 (2005): 69-86. <http://eudml.org/doc/279307>.

@article{AndrzejMłodak2005,
abstract = {We propose new systems of axioms which characterize four types of values of cooperative games: the Banzhaf value, the Deegan-Packel value, the least square prenucleolus and the least square nucleolus. The common element used in these axiomatizations is a fairness property. It requires that if to a cooperative game we add another game in which two given players are symmetric, then their payoffs change by the same amount. In our analysis we will use an idea applied by R. van den Brink (2001) to obtain an axiomatic characterization of the Shapley value.},
author = {Andrzej Młodak},
journal = {Applicationes Mathematicae},
keywords = {cooperative game; value; Banzhaf value; Deegan–Packel value; least square prenucleolus; least square nucleolus},
language = {eng},
number = {1},
pages = {69-86},
title = {Axiomatization of values of cooperative games using a fairness property},
url = {http://eudml.org/doc/279307},
volume = {32},
year = {2005},
}

TY - JOUR
AU - Andrzej Młodak
TI - Axiomatization of values of cooperative games using a fairness property
JO - Applicationes Mathematicae
PY - 2005
VL - 32
IS - 1
SP - 69
EP - 86
AB - We propose new systems of axioms which characterize four types of values of cooperative games: the Banzhaf value, the Deegan-Packel value, the least square prenucleolus and the least square nucleolus. The common element used in these axiomatizations is a fairness property. It requires that if to a cooperative game we add another game in which two given players are symmetric, then their payoffs change by the same amount. In our analysis we will use an idea applied by R. van den Brink (2001) to obtain an axiomatic characterization of the Shapley value.
LA - eng
KW - cooperative game; value; Banzhaf value; Deegan–Packel value; least square prenucleolus; least square nucleolus
UR - http://eudml.org/doc/279307
ER -