Robustness to strategic uncertainty in price competition
We model a player's uncertainty about other player's strategy choices as probability distributions over their strategy sets. We call a strategy profile robust to strategic uncertainty if it is the limit, as uncertainty vanishes, of some sequence of strategy profiles in each of which every player's strategy is optimal under his or her uncertainty about the pthers. We apply this definition to Bertrand games with a continuum of equilibrium prices and show that our robustness criterion selects a unique Nash equilibrium price. This selection agrees with available experimental findings.
|Date of creation:||31 Mar 2010|
|Date of revision:||08 Apr 2010|
|Contact details of provider:|| Postal: The Economic Research Institute, Stockholm School of Economics, P.O. Box 6501, 113 83 Stockholm, Sweden|
Phone: +46-(0)8-736 90 00
Fax: +46-(0)8-31 01 57
Web page: http://www.hhs.se/
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.:
- Dastidar, Krishnendu Ghosh, 1995. "On the Existence of Pure Strategy Bertrand Equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 19-32, January.
- Carlsson, Hans & Ganslandt, Mattias, 1998.
"Noisy equilibrium selection in coordination games,"
Elsevier, vol. 60(1), pages 23-34, July.
- Ganslandt, Mattias & Carlsson, Hans, 1997. "Noisy Equilibrium Selection in Coordination Games," Working Paper Series 485, Research Institute of Industrial Economics.
- Mark Bagnoli & Ted Bergstrom, 2005. "Log-concave probability and its applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(2), pages 445-469, 08.
- Bagnoli, M. & Bergstrom, T., 1989. "Log-Concave Probability And Its Applications," Papers 89-23, Michigan - Center for Research on Economic & Social Theory.
- Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
- John B Van Huyck & Raymond C Battalio & Richard O Beil, 1997. "Tacit coordination games, strategic uncertainty, and coordination failure," Levine's Working Paper Archive 1225, David K. Levine.
- J. B. Van Huyck & R. C. Battalio & R. O. Beil, 2010. "Tacit coordination games, strategic uncertainty, and coordination failure," Levine's Working Paper Archive 661465000000000393, David K. Levine.
- Simon, Leo K & Stinchcombe, Maxwell B, 1995. "Equilibrium Refinement for Infinite Normal-Form Games," Econometrica, Econometric Society, vol. 63(6), pages 1421-1443, November.
- Carlsson, Hans, 1991. "A Bargaining Model Where Parties Make Errors," Econometrica, Econometric Society, vol. 59(5), pages 1487-1496, September.
- Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
- Friedman, James W. & Mezzetti, Claudio, 2005. "Random belief equilibrium in normal form games," Games and Economic Behavior, Elsevier, vol. 51(2), pages 296-323, May.
- Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, September.
- Dixon, Huw, 1990. "Bertrand-Edgeworth Equilibria when Firms Avoid Turning Customers Away," Journal of Industrial Economics, Wiley Blackwell, vol. 39(2), pages 131-146, December.
- Abbink, Klaus & Brandts, Jordi, 2008. "24. Pricing in Bertrand competition with increasing marginal costs," Games and Economic Behavior, Elsevier, vol. 63(1), pages 1-31, May.
- Weibull, Jörgen, 2006. "Price competition and convex costs," SSE/EFI Working Paper Series in Economics and Finance 622, Stockholm School of Economics, revised 23 Feb 2006.
- Prabal Chowdhury & Kunal Sengupta, 2004. "Coalition-proof Bertrand equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(2), pages 307-324, August.
- Argenton, C. & Müller, W., 2009. "Collusion in Experimental Bertrand Duopolies with Convex Costs : The Role of Information and Cost Asymmetry," Discussion Paper 2009-87, Tilburg University, Center for Economic Research. Full references (including those not matched with items on IDEAS)