A fixed point characterization of the dominancesolvability of lattice games with strategic substitutes
This note demonstrates that a lattice game with strategic substitutes is dominancesolvable if and only if there exists a unique fixed point of the function that results from an iteration of the best response function. This finding complements a result of Milgrom and Robertsâ€™ (1990) by which a lattice game with strategic complements is dominance-solvable if and only if there exists a unique Nash equilibrium. We illustrate our main result by an application to a model of Cournot outcomecompetition.
|Date of creation:||2005|
|Date of revision:|
|Contact details of provider:|| Postal: Newlands on Main, F0301 3rd Floor Mariendahl House, cnr Campground and Main Rds, Claremont, 7700 Cape Town|
Phone: 021 671-3980
Fax: +27 21 671 3912
Web page: http://www.econrsa.org/
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.:
- Bernheim, B Douglas, 1984.
"Rationalizable Strategic Behavior,"
Econometric Society, vol. 52(4), pages 1007-28, July.
- Vives, X., 1988.
"Nash Equilibrium With Strategic Complementarities,"
UFAE and IAE Working Papers
107-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
- Vives, Xavier, 2004. "Complementarities and Games: New Developments," CEPR Discussion Papers 4742, C.E.P.R. Discussion Papers.
When requesting a correction, please mention this item's handle: RePEc:rza:wpaper:32. 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: (Charles Tanton)
If references are entirely missing, you can add them using this form.