Title
Mixed refinements of Shapley's saddles and weak tournaments
Abstract
.   We investigate refinements of two solutions, the saddle and the weak saddle, defined by Shapley (1964) for two-player zero-sum games. Applied to weak tournaments, the first refinement, the mixed saddle, is unique and gives us a new solution, generally lying between the GETCHA and GOTCHA sets of Schwartz (1972, 1986). In the absence of ties, all three solutions reduce to the usual top cycle set. The second refinement, the weak mixed saddle, is not generally unique, but, in the absence of ties, it is unique and coincides with the minimal covering set.
Year
DOI
Venue
2001
10.1007/s003550000059
Social Choice and Welfare
Keywords
Field
DocType
Minimal Covering,Weak Saddle,Weak Tournament,Mixed Saddle
Saddle,Discrete mathematics,Mathematical economics,Covering set,Mathematics
Journal
Volume
Issue
ISSN
18
1
0176-1714
Citations 
PageRank 
References 
11
5.64
0
Authors
2
Name
Order
Citations
PageRank
John Duggan1241145.72
Michel Le Breton29124.03