Title
Iterated strict dominance in general games
Abstract
We offer a definition of iterated elimination of strictly dominated strategies (IESDS*) for games with (in)finite players, (non)compact strategy sets, and (dis)continuous payoff functions. IESDS* is always a well-defined order independent procedure that can be used to solve Nash equilibrium in dominance-solvable games. We characterize IESDS* by means of a “stability” criterion, and offer a sufficient and necessary epistemic condition for IESDS*. We show by an example that IESDS* may generate spurious Nash equilibria in the class of Reny's better-reply secure games. We provide sufficient/necessary conditions under which IESDS* preserves the set of Nash equilibria.
Year
DOI
Venue
2007
10.1016/j.geb.2007.02.002
Games and Economic Behavior
Keywords
Field
DocType
C70,C72
Mathematical economics,Epsilon-equilibrium,Risk dominance,Best response,Game theory,Nash equilibrium,Iterated function,Mathematics,Stochastic game
Journal
Volume
Issue
ISSN
61
2
0899-8256
Citations 
PageRank 
References 
11
1.07
2
Authors
3
Name
Order
Citations
PageRank
Yi-Chun Chen1163.80
Ngo Van Long2318.71
Xiao Luo3111.07