A unified approach to restricted games

Citation
E. Algaba et al., A unified approach to restricted games, THEOR DECIS, 50(4), 2001, pp. 333-345
Citations number
13
Categorie Soggetti
Economics
Journal title
THEORY AND DECISION
ISSN journal
00405833 → ACNP
Volume
50
Issue
4
Year of publication
2001
Pages
333 - 345
Database
ISI
SICI code
0040-5833(2001)50:4<333:AUATRG>2.0.ZU;2-B
Abstract
There have been two main lines in the literature on restricted games: the f irst line was started by Myerson (1977) that studied graph-restricted games an the second one was initiated by Faigle (1989). The present paper provid es a unified way to look on the literature and establishes connections betw een the two different lines on restricted games. The strength and advantage s of this unified approach becomes clear in the study of the inheritance of the convexity from the game to the restricted game where an interesting re sult by Nouweland and Borm (1991) on the convexity of graph-restricted game s is turned into a direct consequence of the corresponding result by Faigle (1989), by means of this relation.