Title
Stable sets and cores for multi-criteria simple games and for their extensions.
Abstract
In this article we deal with multi-criteria simple games which constitute an extension of the basic framework of voting systems and related social-choice situations. We generalize two closely related solution concepts for these games, the stable sets and the core. A relationship between stable sets and minimal winning coalitions is established. Two generalizations of the core for multi-criteria simple games are characterized in terms of veto players. In addition, extended multi-criteria simple games obtained from different aggregation operations, such as union, intersection, marginalization, and composition, are introduced. It is shown that a voting system can be established when these operations are applied to complex voting systems.
Year
DOI
Venue
2012
10.1007/s00355-011-0543-4
Social Choice and Welfare
Keywords
Field
DocType
solution concept,stable set,social choice
Mathematical economics,Voting,Generalization,Social exclusion,Canonical form,Veto,Mathematics
Journal
Volume
Issue
ISSN
39
1
1432-217X
Citations 
PageRank 
References 
0
0.34
6
Authors
2
Name
Order
Citations
PageRank
Luisa Monroy1296.05
Francisco R. Fernández217618.42