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Characterization of Pure Strategy Equilibria in Uniform Price IPO Auctions

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  • Ping Zhang

    (School of Economics, University of Nottingham)

Abstract

We characterize pure strategy equilibria of common value multi-unit uniform price auctions under the framework of initial public offerings, where bidders have incomplete private information regarding the value of shares and submit discrete demand schedules. We show that there exists a continuum of equilibria where investors with a higher expectation about the value of shares bid for higher quantities at higher prices, and as a result the market price increases with the market value. The collusive equilibria, in which investors place bids regardless of their expectation about the value, are obtained under stricter conditions than in the continuous price case.

Suggested Citation

  • Ping Zhang, 2009. "Characterization of Pure Strategy Equilibria in Uniform Price IPO Auctions," Discussion Papers 2009-05, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    • Handle: RePEc:not:notcdx:2009-05
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    1. Jürgen Bierbaum & Veronika Grimm, 2006. "Selling shares to retail investors: auction vs. fixed price," Review of Economic Design, Springer;Society for Economic Design, vol. 10(2), pages 85-112, August.
    2. McCabe, Kevin A & Rassenti, Stephen J & Smith, Vernon L, 1990. "Auction Institutional Design: Theory and Behavior of Simultaneous Multiple-Unit Generalizations of the Dutch and English Auctions," American Economic Review, American Economic Association, vol. 80(5), pages 1276-1283, December.
    3. Natalia Fabra & Nils‐Henrik Fehr & David Harbord, 2006. "Designing electricity auctions," RAND Journal of Economics, RAND Corporation, vol. 37(1), pages 23-46, March.
    4. Dan Levin, 2005. "Demand Reduction in Multi-Unit Auctions: Evidence from a Sportscard Field Experiment: Comment," American Economic Review, American Economic Association, vol. 95(1), pages 467-471, March.
    5. Sherstyuk, Katerina, 2008. "Some Results on Anti-Competitive Behavior in Multi-Unit Ascending Price Auctions," Handbook of Experimental Economics Results, in: Charles R. Plott & Vernon L. Smith (ed.), Handbook of Experimental Economics Results, edition 1, volume 1, chapter 23, pages 185-198, Elsevier.
    6. Lawrence M. Ausubel & Peter Cramton & Marek Pycia & Marzena Rostek & Marek Weretka, 2014. "Demand Reduction and Inefficiency in Multi-Unit Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(4), pages 1366-1400.
    7. Paul Klemperer, 2002. "What Really Matters in Auction Design," Journal of Economic Perspectives, American Economic Association, vol. 16(1), pages 169-189, Winter.
    8. David Lucking-Reiley & John A. List, 2000. "Demand Reduction in Multiunit Auctions: Evidence from a Sportscard Field Experiment," American Economic Review, American Economic Association, vol. 90(4), pages 961-972, September.
    9. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
    10. S. Berninghaus & W. Güth, 2007. "Experimental Economics," Chapters, in: Horst Hanusch & Andreas Pyka (ed.), Elgar Companion to Neo-Schumpeterian Economics, chapter 66, Edward Elgar Publishing.
    11. Ravi Jagannathan & Ann E. Sherman, 2006. "Why Do IPO Auctions Fail?," NBER Working Papers 12151, National Bureau of Economic Research, Inc.
    12. Glenn W. Harrison & John A. List, 2004. "Field Experiments," Journal of Economic Literature, American Economic Association, vol. 42(4), pages 1009-1055, December.
    13. Goswami, Gautam & Noe, Thomas H & Rebello, Michael J, 1996. "Collusion in Uniform-Price Auctions: Experimental Evidence and Implications for Treasury Auctions," The Review of Financial Studies, Society for Financial Studies, vol. 9(3), pages 757-785.
    14. Matti Keloharju & Kjell G. Nyborg & Kristian Rydqvist, 2005. "Strategic Behavior and Underpricing in Uniform Price Auctions: Evidence from Finnish Treasury Auctions," Journal of Finance, American Finance Association, vol. 60(4), pages 1865-1902, August.
    15. Dirk Engelmann & Veronika Grimm, 2009. "Bidding Behaviour in Multi‐Unit Auctions – An Experimental Investigation," Economic Journal, Royal Economic Society, vol. 119(537), pages 855-882, April.
    16. Kandel, Shmuel & Sarig, Oded & Wohl, Avi, 1999. "The Demand for Stocks: An Analysis of IPO Auctions," The Review of Financial Studies, Society for Financial Studies, vol. 12(2), pages 227-247.
    17. repec:bla:jindec:v:45:y:1997:i:2:p:207-17 is not listed on IDEAS
    18. Sascha Fullbrunn & Tibor Neugebauer, 2009. "Anonymity deters collusion in hard-close auctions: experimental evidence," New Zealand Economic Papers, Taylor & Francis Journals, vol. 43(2), pages 131-148.
    19. Orly Sade & Charles Schnitzlein & Jaime Zender, 2006. "Competition and cooperation in divisible good auctions: An experimental examination," Artefactual Field Experiments 00105, The Field Experiments Website.
    20. Wolfgang Pesendorfer & Jeroen M. Swinkels, 1997. "The Loser's Curse and Information Aggregation in Common Value Auctions," Econometrica, Econometric Society, vol. 65(6), pages 1247-1282, November.
    21. Tenorio, Rafael, 1993. "Revenue Equivalence and Bidding Behavior in a Multi-unit Auction Market: An Empirical Analysis," The Review of Economics and Statistics, MIT Press, vol. 75(2), pages 302-314, May.
    22. Umlauf, Steven R., 1993. "An empirical study of the Mexican Treasury bill auction," Journal of Financial Economics, Elsevier, vol. 33(3), pages 313-340, June.
    23. Dmitri Boreiko & Stefano Lombardo, 2013. "Lockup clauses in Italian IPOs," Applied Financial Economics, Taylor & Francis Journals, vol. 23(3), pages 221-232, February.
    24. Noussair, Charles, 1995. "Equilibria in a Multi-object Uniform Price Sealed Bid Auction with Multi-unit Demands," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(2), pages 337-351, March.
    25. Natalia Fabra & Nils-Henrik M. von der Fehr & David Harbord, 2006. "Designing Electricity Auctions," RAND Journal of Economics, The RAND Corporation, vol. 37(1), pages 23-46, Spring.
    26. Richard Engelbrecht-Wiggans & Charles M. Kahn, 1998. "Multi-unit auctions with uniform prices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(2), pages 227-258.
    27. Dirk Engelmann & Veronika Grimm, 2003. "Bidding Behavior in Multi-Unit Auctions - An Experimental Investigation and some Theoretical Insights," CERGE-EI Working Papers wp210, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    28. Richard Engelbrecht-Wiggans & John A. List & David H. Reiley, 2006. "Demand Reduction In Multi-Unit Auctions With Varying Numbers Of Bidders: Theory And Evidence From A Field Experiment ," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(1), pages 203-231, February.
    29. Alexey Malakhov & Rakesh Vohra, 2008. "Optimal auctions for asymmetrically budget constrained bidders," Review of Economic Design, Springer;Society for Economic Design, vol. 12(4), pages 245-257, December.
    30. Kagel, John H & Levin, Dan, 2001. "Behavior in Multi-unit Demand Auctions: Experiments with Uniform Price and Dynamic Vickrey Auctions," Econometrica, Econometric Society, vol. 69(2), pages 413-454, March.
    31. Jakub Kastl, 2011. "Discrete Bids and Empirical Inference in Divisible Good Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(3), pages 974-1014.
    32. Orly Sade & Charles Schnitzlein & Jaime F. Zender, 2006. "Competition and Cooperation in Divisible Good Auctions: An Experimental Examination," The Review of Financial Studies, Society for Financial Studies, vol. 19(1), pages 195-235.
    33. Cremer, Jacques & McLean, Richard P, 1985. "Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent," Econometrica, Econometric Society, vol. 53(2), pages 345-361, March.
    34. Ilan Kremer, 2004. "Underpricing and Market Power in Uniform Price Auctions," The Review of Financial Studies, Society for Financial Studies, vol. 17(3), pages 849-877.
    35. repec:feb:artefa:0085 is not listed on IDEAS
    36. Back, Kerry & Zender, Jaime F, 1993. "Auctions of Divisible Goods: On the Rationale for the Treasury Experiment," The Review of Financial Studies, Society for Financial Studies, vol. 6(4), pages 733-764.
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    More about this item

    Keywords

    IPO; uniform price auction; divisible goods auction; share auction; tacit collusion;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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