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Rational bubbles under diverse information

Author

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  • Dahai Yu

Abstract

This paper uses a set of post-extraction information trees to generally model diverse information and agent specific state price processes to define present and fundamental values. It shows that there can be no negative or finite bubbles and that, if agents are impatient and the aggregate endowment has a finite present value under some state price process of some agent, then there can be no bubble under this state price process for any asset with positive supply.

Suggested Citation

  • Dahai Yu, 1998. "Rational bubbles under diverse information," International Finance Discussion Papers 621, Board of Governors of the Federal Reserve System (U.S.).
  • Handle: RePEc:fip:fedgif:621
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    File URL: http://www.federalreserve.gov/pubs/ifdp/1998/621/default.htm
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    File URL: http://www.federalreserve.gov/pubs/ifdp/1998/621/ifdp621.pdf
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    References listed on IDEAS

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    1. Ross, Stephen A., 1976. "The arbitrage theory of capital asset pricing," Journal of Economic Theory, Elsevier, vol. 13(3), pages 341-360, December.
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    3. Manuel S. Santos & Michael Woodford, 1997. "Rational Asset Pricing Bubbles," Econometrica, Econometric Society, vol. 65(1), pages 19-58, January.
    4. Magill, Michael & Quinzii, Martine, 1994. "Infinite Horizon Incomplete Markets," Econometrica, Econometric Society, vol. 62(4), pages 853-880, July.
    5. Radner, Roy, 1979. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Econometrica, Econometric Society, vol. 47(3), pages 655-678, May.
    6. Chow, Gregory C., 1997. "Dynamic Economics: Optimization by the Lagrange Method," OUP Catalogue, Oxford University Press, number 9780195101928.
    7. Duffie, Darrell & Huang, Chi-fu, 1986. "Multiperiod security markets with differential information : Martingales and resolution times," Journal of Mathematical Economics, Elsevier, vol. 15(3), pages 283-303, June.
    8. Franklin Allen & Stephen Morris & Andrew Postlewaite, "undated". "Finite Bubbles with Short Sale Constraints and Asymmetric Information (Reprint 042)," Rodney L. White Center for Financial Research Working Papers 16-92, Wharton School Rodney L. White Center for Financial Research.
    9. Levine, David K. & Zame, William R., 1996. "Debt constraints and equilibrium in infinite horizon economies with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 26(1), pages 103-131.
    10. Milgrom, Paul, 1981. "An Axiomatic Characterization of Common Knowledge," Econometrica, Econometric Society, vol. 49(1), pages 219-222, January.
    11. Geanakoplos, John, 1994. "Common knowledge," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 40, pages 1437-1496 Elsevier.
    12. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
    13. De Long, J Bradford & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, 1990. "Noise Trader Risk in Financial Markets," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 703-738, August.
    14. 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.
    15. Jiang Wang, 1993. "A Model of Intertemporal Asset Prices Under Asymmetric Information," Review of Economic Studies, Oxford University Press, vol. 60(2), pages 249-282.
    16. Robert J Aumann, 1999. "Agreeing to Disagree," Levine's Working Paper Archive 512, David K. Levine.
    17. Franklin Allen & Gary Gorton, 1993. "Churning Bubbles," Review of Economic Studies, Oxford University Press, vol. 60(4), pages 813-836.
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    Cited by:

    1. Fernando Díaz & Rodrigo Sánchez, 2001. "Acciones Tecnológicas: ¿Un Episodio De Burbujas Especulativas En El Mercado?," Abante, Escuela de Administracion. Pontificia Universidad Católica de Chile., vol. 4(1), pages 37-82.
    2. Bidian, Florin, 2015. "Portfolio constraints, differences in beliefs and bubbles," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 317-326.

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    Keywords

    Information theory ; Econometrics;

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