Numerical Computation of Equilibrium Bid Functions in a First-Price Auction with Heterogeneous Risk Attitudes
AbstractWe use numerical methods to compute Nash equilibrium (NE) bid functions for four agents bidding in a first-price auction. Each bidder i is randomly assigned: ri É› [0, rmax], where 1 âˆ’ ri is the Arrow-Pratt measure of constant relative risk aversion. Each ri is independently drawn from the cumulative distribution function Î¦(Ä‹), a beta distribution on [0, rmax]. For various values of the maximum propensity to seek risk, rmax, the expected value of any bidder's risk characteristic, E(ri), and the probability that any bidder is risk seeking, P(ri > 1), we determine the nonlinear characteristics of the (NE) bid functions. Copyright Kluwer Academic Publishers 1998
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.
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.
Bibliographic InfoArticle provided by Springer in its journal Experimental Economics.
Volume (Year): 1 (1998)
Issue (Month): 2 (September)
Contact details of provider:
Web page: http://www.springerlink.com/link.asp?id=102888
auctions; equilibrium bidding; numerical analysis;
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, John H & Roth, Alvin E, 1992. "Theory and Misbehavior in First-Price Auctions: Comment," American Economic Review, American Economic Association, vol. 82(5), pages 1379-91, December.
- Friedman, Daniel, 1992. "Theory and Misbehavior of First-Price Auctions: Comment," American Economic Review, American Economic Association, vol. 82(5), pages 1374-78, December.
- Cox, James C & Smith, Vernon L & Walker, James M, 1992. "Theory and Misbehavior of First-Price Auctions: Comment," American Economic Review, American Economic Association, vol. 82(5), pages 1392-412, December.
- Cox, James C & Smith, Vernon L & Walker, James M, 1988. " Theory and Individual Behavior of First-Price Auctions," Journal of Risk and Uncertainty, Springer, vol. 1(1), pages 61-99, March.
- Smith, Vernon L & Walker, James M, 1993. "Rewards, Experience and Decision Costs in First Price Auctions," Economic Inquiry, Western Economic Association International, vol. 31(2), pages 237-45, April.
- Merlo, Antonio & Schotter, Andrew, 1992. "Theory and Misbehavior of First-Price Auctions: Comment," American Economic Review, American Economic Association, vol. 82(5), pages 1413-25, December.
- Cox, James C. & Smith, Vernon L. & Walker, James M., 1982. "Auction market theory of heterogeneous bidders," Economics Letters, Elsevier, vol. 9(4), pages 319-325.
- Neugebauer, Tibor & Selten, Reinhard, 2006. "Individual behavior of first-price auctions: The importance of information feedback in computerized experimental markets," Games and Economic Behavior, Elsevier, vol. 54(1), pages 183-204, January.
- Robert Dorsey & Laura Razzolini, 2003. "Explaining Overbidding in First Price Auctions Using Controlled Lotteries," Experimental Economics, Springer, vol. 6(2), pages 123-140, October.
- Paul Pezanis-Christou & Abdolkarim Sadrieh, 2003.
"Elicited bid functions in (a)symmetric first-price auctions,"
UFAE and IAE Working Papers
578.03, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Pezanis-Christou, P. & Sadrieh, A., 2003. "Elicited Bid Functions in a (a)Symmetric First-Price Auctions," Discussion Paper 2003-58, Tilburg University, Center for Economic Research.
- Paul Pezanis-Christou & Abdolkarim Sadrieh, 2003. "Elicited bid functions in (a)symmetric first-price auctions," Working Papers 85, Barcelona Graduate School of Economics.
- Tibor Neugebauer, 2007. "Bid and price effects of increased competition in the first-price auction: experimental evidence," LSF Research Working Paper Series 07-17, Luxembourg School of Finance, University of Luxembourg.
- Elizabeth Watson & Theodore L. Turocy, 2011.
"Reservation values and regret in laboratory first price auctions: Context and bidding behavior,"
Working Paper series, University of East Anglia, Centre for Behavioural and Experimental Social Science (CBESS)
11-14, School of Economics, University of East Anglia, Norwich, UK..
- Theodore L. Turocy & Elizabeth Watson, 2012. "Reservation Values and Regret in Laboratory First-Price Auctions: Context and Bidding Behavior," Southern Economic Journal, Southern Economic Association, vol. 78(4), pages 1163-1180, April.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Guenther Eichhorn) or (Christopher F. Baum).
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.