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Strategic Trading in Informationally Complex Environments

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  • Lambert, Nicolas

    (Stanford University)

  • Ostrovsky, Michael

    (Stanford University)

  • Panov, Mikhail

    (Stanford University)

Abstract

We study trading behavior and the properties of prices in informationally complex markets. Our model is based on the single-period version of the linear-normal framework of Kyle (1985). We allow for essentially arbitrary correlations among the random variables involved in the model: the true value of the traded asset, the signals of strategic traders, the signals of competitive market makers, and the demand coming from liquidity traders. We first show that there always exists a unique linear equilibrium, which can be characterized analytically, and illustrate its properties in a series of examples. We then use this equilibrium characterization to study the informational eciency of prices as the number of strategic traders becomes large. If the demand from liquidity traders is uncorrelated with the true value of the asset or is positively correlated with it (conditional on other signals), then prices in large markets aggregate all available information. If, however, the demand from liquidity traders is negatively correlated with the true value of the asset, then prices in large markets aggregate all available information except that contained in liquidity demand.

Suggested Citation

  • Lambert, Nicolas & Ostrovsky, Michael & Panov, Mikhail, 2014. "Strategic Trading in Informationally Complex Environments," Research Papers 3021, Stanford University, Graduate School of Business.
    • Handle: RePEc:ecl:stabus:3021
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    1. Grossman, Sanford J, 1976. "On the Efficiency of Competitive Stock Markets Where Trades Have Diverse Information," Journal of Finance, American Finance Association, vol. 31(2), pages 573-585, May.
    2. Hellwig, Martin F., 1982. "Rational expectations equilibrium with conditioning on past prices: A mean-variance example," Journal of Economic Theory, Elsevier, vol. 26(2), pages 279-312, April.
    3. Laurence Lescourret & Thierry Foucault, 2001. "Information Sharing Liquidity and Transaction Costs in Floor-Based Trading Systems," Working Papers 2001-18, Center for Research in Economics and Statistics.
    4. Paolo Pasquariello, 2007. "Imperfect Competition, Information Heterogeneity, and Financial Contagion," The Review of Financial Studies, Society for Financial Studies, vol. 20(2), pages 391-426.
    5. Jean-Charles Rochet & Jean-Luc Vila, 1994. "Insider Trading without Normality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(1), pages 131-152.
    6. Paolo Colla & Antonio Mele, 2010. "Information Linkages and Correlated Trading," The Review of Financial Studies, Society for Financial Studies, vol. 23(1), pages 203-246, January.
    7. repec:bla:jfinan:v:59:y:2004:i:1:p:339-390 is not listed on IDEAS
    8. 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.
    9. Milgrom, Paul R, 1981. "Rational Expectations, Information Acquisition, and Competitive Bidding," Econometrica, Econometric Society, vol. 49(4), pages 921-943, June.
    10. Radner, Roy, 1979. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Econometrica, Econometric Society, vol. 47(3), pages 655-678, May.
    11. Mikhail Golosov & Guido Lorenzoni & Aleh Tsyvinski, 2014. "Decentralized Trading With Private Information," Econometrica, Econometric Society, vol. 82(3), pages 1055-1091, May.
    12. Michael Ostrovsky, 2012. "Information Aggregation in Dynamic Markets With Strategic Traders," Econometrica, Econometric Society, vol. 80(6), pages 2595-2647, November.
    13. Kreps, David M., 1977. "A note on "fulfilled expectations" equilibria," Journal of Economic Theory, Elsevier, vol. 14(1), pages 32-43, February.
    14. Jordan, James S. & Radner, Roy, 1982. "Rational expectations in microeconomic models: An overview," Journal of Economic Theory, Elsevier, vol. 26(2), pages 201-223, April.
    15. Madrigal, Vicente, 1996. "Non-fundamental Speculation," Journal of Finance, American Finance Association, vol. 51(2), pages 553-578, June.
    16. Hellwig, Martin F., 1980. "On the aggregation of information in competitive markets," Journal of Economic Theory, Elsevier, vol. 22(3), pages 477-498, June.
    17. Holden, Craig W & Subrahmanyam, Avanidhar, 1992. "Long-Lived Private Information and Imperfect Competition," Journal of Finance, American Finance Association, vol. 47(1), pages 247-270, March.
    18. Kerry Back & C. Henry Cao & Gregory A. Willard, 2000. "Imperfect Competition among Informed Traders," Journal of Finance, American Finance Association, vol. 55(5), pages 2117-2155, October.
    19. Allen, Beth E, 1981. "Generic Existence of Completely Revealing Equilibria for Economies with Uncertainty when Prices Convey Information," Econometrica, Econometric Society, vol. 49(5), pages 1173-1199, September.
    20. Wolinsky, Asher, 1990. "Information Revelation in a Market with Pairwise Meetings," Econometrica, Econometric Society, vol. 58(1), pages 1-23, January.
    21. Caballe, Jordi & Krishnan, Murugappa, 1994. "Imperfect Competition in a Multi-security Market with Risk Neutrality," Econometrica, Econometric Society, vol. 62(3), pages 695-704, May.
    22. Foster, F. Douglas & Viswanathan, S., 1994. "Strategic Trading with Asymmetrically Informed Traders and Long-Lived Information," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 29(4), pages 499-518, December.
    23. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    24. Marzena Rostek & Marek Weretka, 2012. "Price Inference in Small Markets," Econometrica, Econometric Society, vol. 80(2), pages 687-711, March.
    25. Anderson, Robert M. & Sonnenschein, Hugo, 1982. "On the existence of rational expectations equilibrium," Journal of Economic Theory, Elsevier, vol. 26(2), pages 261-278, April.
    26. Albert S. Kyle, 1989. "Informed Speculation with Imperfect Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(3), pages 317-355.
    27. Herves-Beloso, Carlos & Moreno-Garcia, Emma & Yannelis, Nicholas C., 2005. "An equivalence theorem for a differential information economy," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 844-856, November.
    28. Jain, Neelam & Mirman, Leonard J., 1999. "Insider trading with correlated signals," Economics Letters, Elsevier, vol. 65(1), pages 105-113, October.
    29. Sarkar Asani, 1995. "Dual Trading: Winners, Losers, and Market Impact," Journal of Financial Intermediation, Elsevier, vol. 4(1), pages 77-93, January.
    30. Ilan Kremer, 2002. "Information Aggregation in Common Value Auctions," Econometrica, Econometric Society, vol. 70(4), pages 1675-1682, July.
    31. Robert Wilson, 1977. "A Bidding Model of Perfect Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(3), pages 511-518.
    32. Foster, F Douglas & Viswanathan, S, 1996. "Strategic Trading When Agents Forecast the Forecasts of Others," Journal of Finance, American Finance Association, vol. 51(4), pages 1437-1478, September.
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    Cited by:

    1. Alp E. Atakan & Mehmet Ekmekci, 2021. "Market Selection and the Information Content of Prices," Econometrica, Econometric Society, vol. 89(5), pages 2049-2079, September.
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    3. Annie Liang & Xiaosheng Mu & Vasilis Syrgkanis, 2019. "Optimal and Myopic Information Acquisition," Working Papers 2019-25, Princeton University. Economics Department..
    4. Zhou, Deqing & Zhen, Fang, 2021. "Risk aversion, informative noise trading, and long-lived information," Economic Modelling, Elsevier, vol. 97(C), pages 247-254.
    5. Manzano, Carolina & Vives, Xavier, 2021. "Market power and welfare in asymmetric divisible good auctions," Theoretical Economics, Econometric Society, vol. 16(3), July.
    6. Bergemann, Dirk & Morris, Stephen & Heumann, Tibor, 2015. "Information and Market Power," CEPR Discussion Papers 10791, C.E.P.R. Discussion Papers.
    7. Jihad C. Elnaboulsi & Wassim Daher & Yiğit Sağlam, 2023. "Environmental taxation, information precision, and information sharing," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(2), pages 301-341, April.
    8. Wassim Daher & Harun Aydilek & Elias G. Saleeby, 2020. "Insider trading with different risk attitudes," Journal of Economics, Springer, vol. 131(2), pages 123-147, October.
    9. Schneider, Julian & Oehler, Andreas, 2021. "Competition for visibility: When do (FX) signal providers employ lotteries?," International Review of Financial Analysis, Elsevier, vol. 78(C).
    10. Bruno Bouchard & Masaaki Fukasawa & Martin Herdegen & Johannes Muhle-Karbe, 2017. "Equilibrium Returns with Transaction Costs," Papers 1707.08464, arXiv.org, revised Apr 2018.
    11. Guo, Mng, 2023. "Dampening effect and market efficiency," Journal of Economic Dynamics and Control, Elsevier, vol. 148(C).
    12. Zhou, Deqing & Wang, Wenjie, 2020. "Insider, outsider and information heterogeneity," The North American Journal of Economics and Finance, Elsevier, vol. 53(C).
    13. Dai, Shangze & Fan, Fei & Zhang, Keke, 2022. "Creative Destruction and Stock Price Informativeness in Emerging Economies," MPRA Paper 113661, University Library of Munich, Germany.
    14. Wassim Daher & Fida Karam & Naveed Ahmed, 2023. "Insider Trading with Semi-Informed Traders and Information Sharing: The Stackelberg Game," Mathematics, MDPI, vol. 11(22), pages 1-16, November.
    15. Savitar Sundaresan & Jaromir Nosal & Marcin Kacperczyk, 2017. "Market Power and Informational Efficiency," 2017 Meeting Papers 356, Society for Economic Dynamics.
    16. Sadzik, Tomasz & Woolnough, Chris, 2021. "Snowballing private information," Journal of Economic Theory, Elsevier, vol. 198(C).
    17. Lou, Youcheng & Parsa, Sahar & Ray, Debraj & Li, Duan & Wang, Shouyang, 2019. "Information aggregation in a financial market with general signal structure," Journal of Economic Theory, Elsevier, vol. 183(C), pages 594-624.
    18. Heumann, Tibor, 2021. "Efficiency in trading markets with multi-dimensional signals," Journal of Economic Theory, Elsevier, vol. 191(C).
    19. Galanis, S. & Ioannou, C. & Kotronis, S., 2019. "Information Aggregation Under Ambiguity: Theory and Experimental Evidence," Working Papers 20/05, Department of Economics, City University London.
    20. Gong, Aibo & Ke, Shaowei & Qiu, Yawen & Shen, Rui, 2022. "Robust pricing under strategic trading," Journal of Economic Theory, Elsevier, vol. 199(C).

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    More about this item

    JEL classification:

    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

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