Title
On the Relation Among Some Definitions of Strategic Stability
Abstract
In this paper we examine a number of different definitions of strategic stability and the relations among them. In particular, we show that the stability requirement given by Hillas (1990) is weaker than the requirements involved in the various definitions of stability in Mertens' reformulation of stability (Mertens 1989, 1991). To this end, we introduce a new definition of stability and show that it is equivalent to (a variant of ) the definition given by Hillas (1990). We also use the equivalence of our new definition with the definition of Hillas to provide correct proofs of some of the results that were originally claimed (and incorrectly "proved") in Hillas (1990).
Year
DOI
Venue
2001
10.1287/moor.26.3.611.10585
Math. Oper. Res.
Keywords
DocType
Volume
correct proof,strategic stability,various definition,strategic stability. 611,stability requirement,different definition,Strategic Stability,new definition,game theory
Journal
26
Issue
ISSN
Citations 
3
0364-765X
4
PageRank 
References 
Authors
0.89
3
4
Name
Order
Citations
PageRank
John Hillas142.24
Mathijs Jansen2103.21
Jos Potters3407.15
Dries Vermeulen47018.63