How to Use Decision Theory to Choose Among Mechanisms
We extend a recently introduced approach to the positive problem of game theory, Predictive Game Theory (PGT Wolpert (2008). In PGT, modeling a game results in a probability distribution over possible behavior profiles. This contrasts with the conventional approach where modeling a game results in an equilibrium set of possible behavior profiles. We analyze three PGT models. Two of these are based on the well-known quantal response and epsilon equilibrium concepts, while the third is entirely new to the economics literature. We use a Cournot game to demonstrate how to use our extension of PGT, concentrating on model combination, modeler uncertainty, and mechanism design. In particular, we emphasize how PGT allows a modeler to perform prediction and mechanism design in a manner that is fully consistent with decision theory. We do this even in situations where conventional approaches yield multiple equilibria, an ability that is necessary for a fully decision theoretic mechanism design. Where possible, PGT results are compared against equilibrium set analogs.
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.:
- Radner, Roy, 1980. "Collusive behavior in noncooperative epsilon-equilibria of oligopolies with long but finite lives," Journal of Economic Theory, Elsevier, vol. 22(2), pages 136-154, April.
- Harsanyi, John C., 1994.
"Games with Incomplete Information,"
Nobel Prize in Economics documents
1994-1, Nobel Prize Committee.
- Colin F. Camerer & Teck-Hua Ho & Juin-Kuan Chong, 2004. "A Cognitive Hierarchy Model of Games," The Quarterly Journal of Economics, Oxford University Press, vol. 119(3), pages 861-898.
- Miguel A. Costa-Gomes & Vincent P. Crawford, 2006.
"Cognition and Behavior in Two-Person Guessing Games: An Experimental Study,"
321307000000000336, UCLA Department of Economics.
- Vincent P. Crawford & Miguel A. Costa-Gomes, 2006. "Cognition and Behavior in Two-Person Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 96(5), pages 1737-1768, December.
- Miguel A. Costa-Gomes & Vincent P. Crawford, 2004. "Cognition and Behavior in Two-Person Guessing Games: An Experimental Study," ISER Discussion Paper 0613, Institute of Social and Economic Research, Osaka University.
- Miguel Costa-Gomes & Vincent P. Crawford, 2004. "Cognition And Behavior In Two-Person Guessing Games: An Experimental Study," Levine's Bibliography 122247000000000143, UCLA Department of Economics.
- Miguel A. Costa-Gomes & Vincent P. Crawford, 2004. "Cognition and Behavior in Two-Person Guessing Games: An Experimental Study," Levine's Bibliography 122247000000000113, UCLA Department of Economics.
- Costa-Gomes, Miguel A. & Crawford, Vincent P., 2004. "Cognition and Behavior in Two-Person Guessing Games: An Experimental Study," University of California at San Diego, Economics Working Paper Series qt449812fx, Department of Economics, UC San Diego.
- Geweke, John, 1989. "Bayesian Inference in Econometric Models Using Monte Carlo Integration," Econometrica, Econometric Society, vol. 57(6), pages 1317-39, November.
- Arthur, W Brian, 1994. "Inductive Reasoning and Bounded Rationality," American Economic Review, American Economic Association, vol. 84(2), pages 406-11, May.
- Seade, J, 1985. "Profitable Cost Increases and the Shifting of Taxation : Equilibrium Response of Markets in Oligopoly," The Warwick Economics Research Paper Series (TWERPS) 260, University of Warwick, Department of Economics.
When requesting a correction, please mention this item's handle: RePEc:amu:wpaper:2009-11. 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: (Thomas Meal)
If references are entirely missing, you can add them using this form.