Recombinant estimation for normal-form games, with applications to auctions and bargaining
In empirical studies of simultaneous-move games, such as sealed-bid auctions, researchers frequently wish to estimate quantities which depend on interactions between the strategies of different players. Examples include the expected revenues of an auction, or the mean allocative efficiency in a market experiment. For such applications, we present an improved statistical estimator based on "recombinant estimation": recombining the strategies of individual players to compute what the outcomes would have been if players had been matched in different groups. We calculate the improvement in efficiency of the recombinant estimator relative to the standard estimator, and show how to estimate standard errors for the recombinant estimator. We present an application to a two-player sealed-bid auction and a two-player ultimatum bargaining game. In these applications, the improved efficiency of our estimator is equivalent to an increase of between 40% and 200% in the sample size, and we expect even larger improvements for games with three or more players. We discuss how to design experiments in order to be able to take full advantage of recombinant estimation. Finally, we discuss practical computational issues, showing how one can avoid combinatorial explosions of computing time while still yielding significantly improved efficiency of estimation.
(This abstract was borrowed from another version of this item.)
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
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.:
- Kagel, J.H. & Levin, D., 1988.
"Independent Private Value Auctions: Bidder Behavior In First, Second And Third-Price Auctions With Varying Numbers Of Bidders,"
13, Houston - Department of Economics.
- Kagel, John H & Levin, Dan, 1993. "Independent Private Value Auctions: Bidder Behaviour in First-, Second- and Third-Price Auctions with Varying Numbers of Bidders," Economic Journal, Royal Economic Society, vol. 103(419), pages 868-79, July.
- Robert Moir, 1998. "A Monte Carlo Analysis of the Fisher Randomization Technique: Reviving Randomization for Experimental Economists," Experimental Economics, Springer;Economic Science Association, vol. 1(1), pages 87-100, June.
- Kagel, John H & Harstad, Ronald M & Levin, Dan, 1987. "Information Impact and Allocation Rules in Auctions with Affiliated Private Values: A Laboratory Study," Econometrica, Econometric Society, vol. 55(6), pages 1275-1304, November.
- Milgrom, Paul R & Weber, Robert J, 1982.
"A Theory of Auctions and Competitive Bidding,"
Econometric Society, vol. 50(5), pages 1089-1122, September.
- John List & David Lucking-Reiley, 2000.
"Demand Reduction in Multiunit Auctions: Evidence from a Sportscard Field Experiment,"
Natural Field Experiments
00520, The Field Experiments Website.
- David Lucking-Reiley & John A. List, 2000. "Demand Reduction in Multiunit Auctions: Evidence from a Sportscard Field Experiment," American Economic Review, American Economic Association, vol. 90(4), pages 961-972, September.
- Friedman, Daniel, 1996. "Equilibrium in Evolutionary Games: Some Experimental Results," Economic Journal, Royal Economic Society, vol. 106(434), pages 1-25, January.
- Mehta, Judith & Starmer, Chris & Sugden, Robert, 1994. "The Nature of Salience: An Experimental Investigation of Pure Coordination Games," American Economic Review, American Economic Association, vol. 84(3), pages 658-673, June.
- Mitzkewitz, Michael & Nagel, Rosemarie, 1993. "Experimental Results on Ultimatum Games with Incomplete Information," International Journal of Game Theory, Springer;Game Theory Society, vol. 22(2), pages 171-98.
When requesting a correction, please mention this item's handle: RePEc:eee:gamebe:v:54:y:2006:i:1:p:159-182. 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: (Shamier, Wendy)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.