On the relation among some definitions of strategic stability

On the relation among some definitions of strategic stability

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Article ID: iaor2004912
Country: United States
Volume: 26
Issue: 3
Start Page Number: 611
End Page Number: 635
Publication Date: Aug 2001
Journal: Mathematics of Operations Research
Authors: , , ,
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 is weaker than the requirements involved in the various definitions of stability in Mertens' reformulation of stability. 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. 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.

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