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All power rankings are achievable in basic weighted games

Author
Freixas, J.; Pons, M.
Type of activity
Presentation of work at congresses
Name of edition
Quantitative methods of group decision making 2018
Date of publication
2018
Presentation's date
2018-11-23
Abstract
A new class of weighted games, clled basic games, is introduced. The goal of the present comunication is to show that, if a particular ranking of power has to be designed, the class of basic games can be always used for this purpose with very few exceptions. In fact, it is proved that all hierarchies which are achievable in weighted games are also achievable in basic games. This is a nice result because the class of basic games is considerably smaller than the class of weighted games.
Keywords
Weighted game, basic game, desirability relation, hierarchy, power indices
Group of research
GRTJ - Game Theory Research Group

Participants