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Numerical Computation of Equilibrium Bid Functions in a First-Price Auction with Heterogeneous Risk Attitudes

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Author Info

  • Mark Van Boening
  • Stephen Rassenti
  • Vernon Smith

Abstract

We 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 ɛ [0, rmax], where 1 − ri is the Arrow-Pratt measure of constant relative risk aversion. Each ri is independently drawn from the cumulative distribution function Φ(ċ), 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

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Bibliographic Info

Article provided by Springer in its journal Experimental Economics.

Volume (Year): 1 (1998)
Issue (Month): 2 (September)
Pages: 147-159

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Handle: RePEc:kap:expeco:v:1:y:1998:i:2:p:147-159

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Web page: http://www.springerlink.com/link.asp?id=102888

Related research

Keywords: auctions; equilibrium bidding; numerical analysis;

References

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  1. Friedman, Daniel, 1992. "Theory and Misbehavior of First-Price Auctions: Comment," American Economic Review, American Economic Association, vol. 82(5), pages 1374-78, December.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
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Citations

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Cited by:
  1. Paul Pezanis-Christou & Abdolkarim Sadrieh, 2003. "Elicited bid functions in (a)symmetric first-price auctions," Working Papers 85, Barcelona Graduate School of Economics.
  2. 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.
  3. Robert Dorsey & Laura Razzolini, 2003. "Explaining Overbidding in First Price Auctions Using Controlled Lotteries," Experimental Economics, Springer, vol. 6(2), pages 123-140, October.
  4. 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.
  5. 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.
  6. Jungmin Lee & Cary Deck & Javier Reyes & Chris Rosen, 2008. "Measuring Risk Attitudes Controlling for Personality Traits," Working Papers 0801, Florida International University, Department of Economics.

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