Using Economic Theory to Guide Numerical Analysis: Solving for Equilibria in Models of Asymmetric First-Price Auctions
AbstractIn models of first-price auctions, when bidders are ex ante heterogenous, deriving explicit equilibrium bid functions is typically impossible, so numerical methods (such as polynomial approximations) are often employed to find approximate solutions. Recent theoretical research concerning asymmetric auctions has determined conditions under which equilibrium bid functions must cross. When equilibrium bid functions are approximated by low-order polynomials, however, such polynomials may not be flexible enough to satisfy the qualitative predictions of the theory. Plotting the relative expected pay-offs of bidders is a quick, informative way to decide whether the approximate solutions are consistent with theory.
Download InfoIf 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.
Bibliographic InfoPaper provided by Collegio Carlo Alberto in its series Carlo Alberto Notebooks with number 207.
Length: 28 pages
Date of creation: 2011
Date of revision:
first-price auctions; asymmetric auctions; numerical methods;
Other versions of this item:
- Timothy Hubbard & René Kirkegaard & Harry Paarsch, 2013. "Using Economic Theory to Guide Numerical Analysis: Solving for Equilibria in Models of Asymmetric First-Price Auctions," Computational Economics, Society for Computational Economics, vol. 42(2), pages 241-266, August.
- C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General
- D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
- L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-05-24 (All new papers)
- NEP-CMP-2011-05-24 (Computational Economics)
- NEP-CTA-2011-05-24 (Contract Theory & Applications)
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.:
- Guerre, E. & Perrigne, I. & Vuong, Q., 1995. "Nonparametric Estimation of First-Price Auctions," Papers 9504, Southern California - Department of Economics.
- Estelle Cantillon, 2008.
"The effect of bidders' asymmetries on expected revenue in auctions,"
ULB Institutional Repository
2013/9001, ULB -- Universite Libre de Bruxelles.
- Cantillon, Estelle, 2008. "The effect of bidders' asymmetries on expected revenue in auctions," Games and Economic Behavior, Elsevier, vol. 62(1), pages 1-25, January.
- Estelle Cantillon, 2000. "The Effect of Bidders' Asymmetries on Expected Revenue in Auctions," Cowles Foundation Discussion Papers 1279, Cowles Foundation for Research in Economics, Yale University.
- Fibich, Gadi & Gavious, Arieh & Sela, Aner, 2002. "Low and high types in asymmetric first-price auctions," Economics Letters, Elsevier, vol. 75(2), pages 283-287, April.
- Fibich, Gadi & Gavious, Arieh & Sela, Aner, 2004. "Revenue equivalence in asymmetric auctions," Journal of Economic Theory, Elsevier, vol. 115(2), pages 309-321, April.
- Viplav Saini, 2012. "Endogenous asymmetry in a dynamic procurement auction," RAND Journal of Economics, RAND Corporation, vol. 43(4), pages 726-760, December.
- Kirkegaard, René, 2009. "Asymmetric first price auctions," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1617-1635, July.
- Yizhaq Minchuk, 2013. "Low and High Types of Bidders in Asymmetric Auctions with A General Utility Function," Economics Bulletin, AccessEcon, vol. 33(2), pages 1328-1332.
- De Silva, Dakshina G. & Hubbard, Timothy P. & Kosmopoulou, Georgia, 2013. "Efficacy of a Bidder Training Program: Lessons from LINC," MPRA Paper 51329, University Library of Munich, Germany.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Giovanni Bert).
If references are entirely missing, you can add them using this form.