Type
Text
Type
Dissertation
Advisor
Brusco, Sandro | Dubey, Pradeep | Tauman, Yair | Arkin, Esther.
Date
2014-12-01
Keywords
Economics | Dominated Strategies, Extensive Form Games, Game Theory, Implementation, Mechanism Design, Subgame Perfect Equilibrium
Department
Department of Economics.
Language
en_US
Source
This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree.
Identifier
http://hdl.handle.net/11401/77434
Publisher
The Graduate School, Stony Brook University: Stony Brook, NY.
Format
application/pdf
Abstract
There are games for which all subgame perfect equilibria are such that some (or all) players use weakly dominated strategies. Surely this is undesirable as it diminishes the credibility of equilibria. It is implausible to expect a player to play a weakly dominated strategy just because it is an 'equilibrium strategy'. We focus on the class of finite extensive form games with complete and perfect information and show that in this class of games there exists an undominated subgame perfect equilibrium; a subgame perfect equilibrium in which no player uses a weakly dominated strategy. The results also provide insight as to why one should restrict the class of mechanisms to finite mechanisms where relevant. | 28 pages
Recommended Citation
Yilmaz, Ceren, "Existence of Undominated Subgame Perfect Equilibrium in Extensive Form Games" (2014). Stony Brook Theses and Dissertations Collection, 2006-2020 (closed to submissions). 3249.
https://commons.library.stonybrook.edu/stony-brook-theses-and-dissertations-collection/3249