New axiomatizations of values of TU-games using reduction properties

Andrzej Młodak. "New axiomatizations of values of TU-games using reduction properties." Applicationes Mathematicae 40.4 (2013): 483-502. <http://eudml.org/doc/279994>.

@article{AndrzejMłodak2013,
abstract = {We propose new axiomatizations of values of cooperative games where traditional properties connected with special players (dummy, null or zero) are replaced with weaker properties relating to such participants of the game. We assume that the change of payoff of a player when combining the game with another game where this player is special is constant. Using such axioms with an additional assumption that a value is odd and-if necessary-the fairness axioms holds, one can obtain axiomatizations without additivity where not only classical dummy, null or zero players axioms but even equal treatment can be redundant. These properties are used to construct new axiomatizations of the Shapley, Banzhaf and Deegan-Packel values. Some of them contain a new mirror game axiom.},
author = {Andrzej Młodak},
journal = {Applicationes Mathematicae},
keywords = {cooperative game; value; reduction axiom; mirror game; fairness},
language = {eng},
number = {4},
pages = {483-502},
title = {New axiomatizations of values of TU-games using reduction properties},
url = {http://eudml.org/doc/279994},
volume = {40},
year = {2013},
}

TY - JOUR
AU - Andrzej Młodak
TI - New axiomatizations of values of TU-games using reduction properties
JO - Applicationes Mathematicae
PY - 2013
VL - 40
IS - 4
SP - 483
EP - 502
AB - We propose new axiomatizations of values of cooperative games where traditional properties connected with special players (dummy, null or zero) are replaced with weaker properties relating to such participants of the game. We assume that the change of payoff of a player when combining the game with another game where this player is special is constant. Using such axioms with an additional assumption that a value is odd and-if necessary-the fairness axioms holds, one can obtain axiomatizations without additivity where not only classical dummy, null or zero players axioms but even equal treatment can be redundant. These properties are used to construct new axiomatizations of the Shapley, Banzhaf and Deegan-Packel values. Some of them contain a new mirror game axiom.
LA - eng
KW - cooperative game; value; reduction axiom; mirror game; fairness
UR - http://eudml.org/doc/279994
ER -