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Sequential Auctions with Multi-Unit Demand: Theory, Experiments and Simulations

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Author Info
Claude Montmarquette ()
Jacques Robert ()

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Abstract

This paper presents the theory of sequential auctions when participants desire more than one unit. The theoretical predictions are compared to experimental data. We estimate structural models which presume that participants' bids are drawn from some stochastic processes. The observed behavior depends highly on the theoretical bid, however some variance in participant bids remains unexplained. The analysis of the model and of the experimental data is completed by some simulations. While the theoretical model predicts increasing prices, on average both the data and the winning bids generated by our structural models exhibit declining prices.

Ce travail concerne la théorie des enchères séquentielles où les participants peuvent acheter plusieurs unités d'un bien homogène. Les prédictions théoriques des modèles sont comparées à des données expérimentales. Nous estimons des modèles structuraux qui supposent que les mises des participants sont tirées d'un processus stochastique. Le comportement observé dépend largement de la mise théorique, bien que la variance des mises demeure inexpliquée. L'analyse du modèle et des données expérimentales est complétée par des simulations. Les mises gagnantes issues des modèles structuraux montrent des prix décroissants, ce qui est contraire à la prédiction du modèle théorique.

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Paper provided by CIRANO in its series CIRANO Working Papers with number 99s-46.

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Date of creation: 01 Nov 1999
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Handle: RePEc:cir:cirwor:99s-46

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Related research
Keywords: Sequential auctions; multi-unit demands; econometric analysis of experimental data; simulations; Enchères séquentielles multi-unitaires; données expérimentales; simulations; modèles économétriques;

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  1. McAfee, R Preston & McMillan, John, 1987. "Auctions and Bidding," Journal of Economic Literature, American Economic Association, vol. 25(2), pages 699-738, June. [Downloadable!] (restricted)
  2. Chakravorti, Bhaskar, et al, 1995. "Auctioning the Airwaves: The Contest for Broadband PCS Spectrum," Journal of Economics & Management Strategy, Blackwell Publishing, vol. 4(2), pages 345-73, Summer.
  3. Avery, Christopher, 1998. "Strategic Jump Bidding in English Auctions," Review of Economic Studies, Blackwell Publishing, vol. 65(2), pages 185-210, April. [Downloadable!] (restricted)
  4. McAfee R. Preston & Vincent Daniel, 1993. "The Declining Price Anomaly," Journal of Economic Theory, Elsevier, vol. 60(1), pages 191-212, June. [Downloadable!] (restricted)
  5. Robert J. Weber, 1981. "Multiple-Object Auctions," Discussion Papers 496, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  6. 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. [Downloadable!] (restricted)
  7. Alsemgeest, P. & Noussair, C. & Olson, M., 1995. "Experimental Comparisons of Auctions Under Single and Multi Unit Demand," Purdue University Economics Working Papers 1078, Purdue University, Department of Economics.
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  8. Evans, Dorla A, 1997. "The Role of Markets in Reducing Expected Utility Violations," Journal of Political Economy, University of Chicago Press, vol. 105(3), pages 622-36, June.
  9. Victor A. Ginsburgh, 1998. "Absentee Bidders and the Declining Price Anomaly in Wine Auctions," Journal of Political Economy, University of Chicago Press, vol. 106(6), pages 1302-1331, December. [Downloadable!] (restricted)
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Cited by:
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  1. Février Philippe & Linnemer Laurent & Visser Michael, 2004. "Buy or wait, that is the option : the buyer's option in sequential laboratory auctions," Research Unit Working Papers 0410, Laboratoire d'Economie Appliquee, INRA. [Downloadable!]
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