The Robust Nash Equilibrium and Equilibrium Selection in 2x2 Coordination Games
We propose an equilibrium concept, the Robust Nash equilibrium (RNE), that combines the best-reply rationality and the "first mover invariance" condition. The single-stage 2x2 symmetric information game G is transformed into sequential two-stage games with two sub-trees: STA has the row player starting and STB has the column player starting. A profile in G is robust if it is the strict SPNE of the two branches; it is ephemeral if it is not the SPNE of any branch. We show that every strict dominant strategy equilibrium of G is robust but not every strict Nash equilibrium of G is. We show further that every robust profile of G is always a strict Nash equilibrium of G. A Robust Nash equilibrium (RNE) of G is any robust profile of G. The RNE of G is unique. We show in particular that the payoff dominant strict Nash equilibrium of a coordination game G is RNE while the strictly payoff-dominated Nash equilibrium of G is ephemeral. The original Harsanyi-Selten preference for payoff dominance over risk dominance is supported by robustness without invoking collective rationality.
|Date of creation:||Oct 2012|
|Publication status:||Published as UPSE Discussion Paper No. 2012-16, October 2012|
|Contact details of provider:|| Postal: Diliman, Quezon City 1101|
Web page: http://www.econ.upd.edu.ph/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Basu, Kaushik, 2006.
"Participatory Equity, Identity, and Productivity: Policy Implications for Promoting Development,"
06-06, Cornell University, Center for Analytic Economics.
- Kaushik Basu, 2007. "Participatory Equity, Identity, and Productivity Policy Implications for Promoting Development," Working Papers id:1122, eSocialSciences.
- Frankel, David M. & Burdzy, Krzysztof & Pauzner, Ady, 2001.
"Fast Equilibrium Selection by Rational Players Living in a Changing World,"
Staff General Research Papers Archive
11923, Iowa State University, Department of Economics.
- Burdzy, Krzysztof & Frankel, David M & Pauzner, Ady, 2001. "Fast Equilibrium Selection by Rational Players Living in a Changing World," Econometrica, Econometric Society, vol. 69(1), pages 163-189, January.
- Burdzy, K & Frankel, D-M & Pauzner, A, 1997. "Fast Equilibrium Selection by Rational Players Living in a Changing World," Papers 7-97, Tel Aviv.
- George A. Akerlof & Rachel E. Kranton, 2005. "Identity and the Economics of Organizations," Journal of Economic Perspectives, American Economic Association, vol. 19(1), pages 9-32, Winter.
- Kandori, M. & Mailath, G.J., 1991.
"Learning, Mutation, And Long Run Equilibria In Games,"
71, Princeton, Woodrow Wilson School - John M. Olin Program.
- Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
- M. Kandori & G. Mailath & R. Rob, 1999. "Learning, Mutation and Long Run Equilibria in Games," Levine's Working Paper Archive 500, David K. Levine.
- Eckel, Catherine C. & Grossman, Philip J., 2005. "Managing diversity by creating team identity," Journal of Economic Behavior & Organization, Elsevier, vol. 58(3), pages 371-392, November.
- John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, September.
- Kim, Youngse, 1996. "Equilibrium Selection inn-Person Coordination Games," Games and Economic Behavior, Elsevier, vol. 15(2), pages 203-227, August.
When requesting a correction, please mention this item's handle: RePEc:phs:dpaper:201216. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Reuben T. Campos)
If references are entirely missing, you can add them using this form.