A single-item continuous double auction game
AbstractA double auction game with an infinite number of buyers and sellers is introduced. All sellers posses one unit of a good, all buyers desire to buy one unit. Each seller and each buyer has a private valuation of the good. The distribution of the valuations define supply and demand functions. One unit of the good is auctioned. At successive, discrete time instances, a player is randomly selected to make a bid (buyer) or an ask (seller). When the maximum of the bids becomes larger than the minimum of the asks, a transaction occurs and the auction is closed. The players have to choose the value of their bid or ask before the auction starts and use this value when they are selected. Assuming that the supply and demand functions are known, expected profits as functions of the strategies are derived, as well as expected transaction prices. It is shown that for linear supply and demand functions, there exists at most one Bayesian Nash equilibrium. Competitive behaviour is not an equilibrium of the game. For linear supply and demand functions, the sum of the expected profit of the sellers and the buyers is the same for the Bayesian Nash equilibrium and the market where players behave competitively. Connections are made with the ZI-C traders model and the $k$-double auction.
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 University Library of Munich, Germany in its series MPRA Paper with number 42086.
Date of creation: 19 Oct 2012
Date of revision:
Continuous double auction; supply and demand; Bayesian Nash equilibrium; ZI-C model; k-double auction;
Find related papers by JEL classification:
- D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-10-27 (All new papers)
- NEP-BEC-2012-10-27 (Business Economics)
- NEP-GTH-2012-10-27 (Game Theory)
- NEP-HPE-2012-10-27 (History & Philosophy of Economics)
- NEP-MIC-2012-10-27 (Microeconomics)
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.:
- Shira Fano & Marco LiCalzi & Paolo Pellizzari, 2013.
"Convergence of outcomes and evolution of strategic behavior in double auctions,"
Journal of Evolutionary Economics,
Springer, vol. 23(3), pages 513-538, July.
- Shira Fano & Marco Li Calzi & Paolo Pellizzari, 2010. "Convergence of outcomes and evolution of strategic behavior in double auctions," Working Papers 196, Department of Applied Mathematics, Università Ca' Foscari Venezia.
- Vernon L. Smith, 1962.
"An Experimental Study of Competitive Market Behavior,"
Journal of Political Economy,
University of Chicago Press, vol. 70, pages 111.
- Vernon L. Smith, 1962. "An Experimental Study of Competitive Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 70, pages 322.
- Anufriev, M. & Arifovic, J. & Ledyard, D. & Panchenko, V., 2010.
"Efficiency of Continuous Double Auctions under Individual Evolutionary Learning with Full or Limited Information,"
CeNDEF Working Papers
10-01, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Mikhail Anufriev & Jasmina Arifovic & John Ledyard & Valentyn Panchenko, 2013. "Efficiency of continuous double auctions under individual evolutionary learning with full or limited information," Journal of Evolutionary Economics, Springer, vol. 23(3), pages 539-573, July.
- Satterthwaite, Mark A. & Williams, Steven R., 1989. "Bilateral trade with the sealed bid k-double auction: Existence and efficiency," Journal of Economic Theory, Elsevier, vol. 48(1), pages 107-133, June.
- Gode, Dhananjay K & Sunder, Shyam, 1993. "Allocative Efficiency of Markets with Zero-Intelligence Traders: Market as a Partial Substitute for Individual Rationality," Journal of Political Economy, University of Chicago Press, vol. 101(1), pages 119-37, February.
- Douglas D. Davis & Charles A. Holt, 1992.
"Introduction to Experimental Economics
[Experimental Economics]," Introductory Chapters, Princeton University Press.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Ekkehart Schlicht).
If references are entirely missing, you can add them using this form.