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Behavioral Aspects of Arbitrageurs in Timing Games of Bubbles and Crashes

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  • Hitoshi Matsushima

    (Faculty of Economics, University of Tokyo)

Abstract

We model a timing game of bubbles and crashes a la Abreu and Brunnermeier (2003), in which arbitrageurs compete with each other to beat the gun in a stock market. However, unlike Abreu and Brunnermeier, instead of assuming sequential awareness,the present paper assumes that with a small probability, each arbitrageur is behavioral and committed to ride the bubble at all times. We show that with incomplete information, even rational arbitrageurs are willing to ride the bubble. In particular, the bubble can persist for a long period as the unique Nash equilibrium outcome.

Suggested Citation

  • Hitoshi Matsushima, 2009. "Behavioral Aspects of Arbitrageurs in Timing Games of Bubbles and Crashes," CARF F-Series CARF-F-144, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
  • Handle: RePEc:cfi:fseres:cf144
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    File URL: http://www.carf.e.u-tokyo.ac.jp/pdf/workingpaper/fseries/149.pdf
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    References listed on IDEAS

    as
    1. Tirole, Jean, 1982. "On the Possibility of Speculation under Rational Expectations," Econometrica, Econometric Society, vol. 50(5), pages 1163-1181, September.
    2. Dilip Abreu & Faruk Gul, 2000. "Bargaining and Reputation," Econometrica, Econometric Society, vol. 68(1), pages 85-118, January.
    3. Kreps, David M. & Milgrom, Paul & Roberts, John & Wilson, Robert, 1982. "Rational cooperation in the finitely repeated prisoners' dilemma," Journal of Economic Theory, Elsevier, vol. 27(2), pages 245-252, August.
    4. Jose A. Scheinkman & Wei Xiong, 2003. "Overconfidence and Speculative Bubbles," Journal of Political Economy, University of Chicago Press, vol. 111(6), pages 1183-1219, December.
    5. Dilip Abreu & Markus K. Brunnermeier, 2003. "Bubbles and Crashes," Econometrica, Econometric Society, vol. 71(1), pages 173-204, January.
    6. Morris, Stephen & Shin, Hyun Song, 1998. "Unique Equilibrium in a Model of Self-Fulfilling Currency Attacks," American Economic Review, American Economic Association, vol. 88(3), pages 587-597, June.
    7. Obstfeld, Maurice, 1996. "Models of currency crises with self-fulfilling features," European Economic Review, Elsevier, vol. 40(3-5), pages 1037-1047, April.
    8. Abreu, Dilip & Brunnermeier, Markus K., 2002. "Synchronization risk and delayed arbitrage," Journal of Financial Economics, Elsevier, vol. 66(2-3), pages 341-360.
    9. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
    10. Conlon, John R., 2003. "Hope springs eternal: learning and the stability of cooperation in short horizon repeated games," Journal of Economic Theory, Elsevier, vol. 112(1), pages 35-65, September.
    11. Allen F. & Morris S. & Postlewaite A., 1993. "Finite Bubbles with Short Sale Constraints and Asymmetric Information," Journal of Economic Theory, Elsevier, vol. 61(2), pages 206-229, December.
    12. Shleifer, Andrei, 2000. "Inefficient Markets: An Introduction to Behavioral Finance," OUP Catalogue, Oxford University Press, number 9780198292272.
    13. Hitoshi Matsushima, 2010. "Financing Harmful Bubbles," CIRJE F-Series CIRJE-F-756, CIRJE, Faculty of Economics, University of Tokyo.
    14. Franklin Allen & Gary Gorton, 1993. "Churning Bubbles," Review of Economic Studies, Oxford University Press, vol. 60(4), pages 813-836.
    15. J. Michael Harrison & David M. Kreps, 1978. "Speculative Investor Behavior in a Stock Market with Heterogeneous Expectations," The Quarterly Journal of Economics, Oxford University Press, vol. 92(2), pages 323-336.
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    Citations

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    Cited by:

    1. Akiyama, Eizo & Hanaki, Nobuyuki & Ishikawa, Ryuichiro, 2014. "How do experienced traders respond to inflows of inexperienced traders? An experimental analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 45(C), pages 1-18.
    2. Hitoshi Matsushima, 2013. "Impact of Financial Regulation and Innovation on Bubbles and Crashes due to Limited Arbitrage: Awareness Heterogeneity," CARF F-Series CARF-F-306, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    3. Guo, Xu & McAleer, Michael & Wong, Wing-Keung & Zhu, Lixing, 2017. "A Bayesian approach to excess volatility, short-term underreaction and long-term overreaction during financial crises," The North American Journal of Economics and Finance, Elsevier, vol. 42(C), pages 346-358.
    4. Qin, Jie, 2015. "A model of regret, investor behavior, and market turbulence," Journal of Economic Theory, Elsevier, vol. 160(C), pages 150-174.
    5. Hitoshi Matsushima, 2010. "Financing Harmful Bubbles," CIRJE F-Series CIRJE-F-756, CIRJE, Faculty of Economics, University of Tokyo.
    6. Hitoshi Matsushima, 2012. "Role of Leverage in Bubbles and Crashes," CIRJE F-Series CIRJE-F-859, CIRJE, Faculty of Economics, University of Tokyo.
    7. Berger, David & Turtle, Harry J., 2015. "Sentiment bubbles," Journal of Financial Markets, Elsevier, vol. 23(C), pages 59-74.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

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