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Wealth Dynamics in a Bond Economy with Heterogeneous Beliefs

Author

Listed:
  • Timothy Cogley

    (New York University)

  • Thomas J. Sargent

    (New York University and Hoover Institution)

  • Viktor Tsyrennikov

    (Cornell University)

Abstract

Two types of agents have diverse beliefs about the law of motion for an exogenous endowment. One type knows the true law of motion and the other learns about it via Bayes' theorem. Financial market structure affects the dynamics of the distribution of financial wealth. When markets are complete, the learning agent loses wealth, as in Blume and Easley (2006). The absence of markets for some Arrow securities alters the direction in which wealth is transferred relative to a complete markets economy. In an economy in which only a risk-free bond is traded, the learning agent accumulates wealth, both agents survive asymptotically, and the more knowledgeable agent is driven to his debt limit.

Suggested Citation

  • Timothy Cogley & Thomas J. Sargent & Viktor Tsyrennikov, 2013. "Wealth Dynamics in a Bond Economy with Heterogeneous Beliefs," Working Papers 2013-23, Economic Research Institute, Bank of Korea.
  • Handle: RePEc:bok:wpaper:1323
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    References listed on IDEAS

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    1. Duffie, Darrell, et al, 1994. "Stationary Markov Equilibria," Econometrica, Econometric Society, vol. 62(4), pages 745-781, July.
    2. Timothy Cogley & Thomas J. Sargent & Viktor Tsyrennikov, 2012. "Market Prices of Risk with Diverse Beliefs, Learning, and Catastrophes," American Economic Review, American Economic Association, vol. 102(3), pages 141-146, May.
    3. Jaroslav Borovička, 2020. "Survival and Long-Run Dynamics with Heterogeneous Beliefs under Recursive Preferences," Journal of Political Economy, University of Chicago Press, vol. 128(1), pages 206-251.
    4. Timothy Cogley & Thomas J. Sargent & Viktor Tsyrennikov, 2014. "Wealth Dynamics in a Bond Economy with Heterogeneous Beliefs," Economic Journal, Royal Economic Society, vol. 124(575), pages 1-30, March.
    5. Sanford J. Grossman, 1981. "An Introduction to the Theory of Rational Expectations Under Asymmetric Information," Review of Economic Studies, Oxford University Press, vol. 48(4), pages 541-559.
    6. Fernando Alvarez & Urban J. Jermann, 2000. "Efficiency, Equilibrium, and Asset Pricing with Risk of Default," Econometrica, Econometric Society, vol. 68(4), pages 775-798, July.
    7. Guerdjikova, Ani & Sciubba, Emanuela, 2015. "Survival with ambiguity," Journal of Economic Theory, Elsevier, vol. 155(C), pages 50-94.
    8. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2009. "Quantitative Macroeconomics with Heterogeneous Households," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 319-354, May.
    9. Robert J. Barro, 2006. "Rare Disasters and Asset Markets in the Twentieth Century," The Quarterly Journal of Economics, Oxford University Press, vol. 121(3), pages 823-866.
    10. Tarek Coury & Emanuela Sciubba, 2012. "Belief heterogeneity and survival in incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 49(1), pages 37-58, January.
    11. Leonid Kogan & Stephen A. Ross & Jiang Wang & Mark M. Westerfield, 2006. "The Price Impact and Survival of Irrational Traders," Journal of Finance, American Finance Association, vol. 61(1), pages 195-229, February.
    12. Per Krusell & Anthony A. Smith & Jr., 1998. "Income and Wealth Heterogeneity in the Macroeconomy," Journal of Political Economy, University of Chicago Press, vol. 106(5), pages 867-896, October.
    13. Beker, Pablo & Chattopadhyay, Subir, 2010. "Consumption dynamics in general equilibrium: A characterisation when markets are incomplete," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2133-2185, November.
    14. Felix Kubler & Karl Schmedders, 2003. "Stationary Equilibria in Asset-Pricing Models with Incomplete Markets and Collateral," Econometrica, Econometric Society, vol. 71(6), pages 1767-1793, November.
    15. Lawrence Blume & David Easley, 2006. "If You're so Smart, why Aren't You Rich? Belief Selection in Complete and Incomplete Markets," Econometrica, Econometric Society, vol. 74(4), pages 929-966, July.
    16. Robert J. Barro & Jose F. Ursua, 2008. "Macroeconomic Crises since 1870," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 39(1 (Spring), pages 255-350.
    17. Sandroni, Alvaro, 2005. "Market selection when markets are incomplete," Journal of Mathematical Economics, Elsevier, vol. 41(1-2), pages 91-104, February.
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    Cited by:

    1. Timothy Cogley & Thomas J. Sargent & Viktor Tsyrennikov, 2014. "Wealth Dynamics in a Bond Economy with Heterogeneous Beliefs," Economic Journal, Royal Economic Society, vol. 124(575), pages 1-30, March.
    2. Rarytska, Olena & Tsyrennikov, Viktor, 2016. "Capital Flows, Beliefs, and Capital Controls," Working Papers 250031, Cornell University, Department of Applied Economics and Management.
    3. Pietro Dindo & Filippo Massari, 2017. "The Wisdom of the Crowd in Dynamic Economies," Working Papers 2017:17, Department of Economics, University of Venice "Ca' Foscari", revised 2018.
    4. Viktor Tsyrennikov, 2012. "Heterogeneous Beliefs, Wealth Distribution, and Asset Markets with Risk of Default," American Economic Review, American Economic Association, vol. 102(3), pages 156-160, May.
    5. Norman, Thomas W.L., 2020. "Market selection with an endogenous state," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 51-59.
    6. Chen, Yunmin & Guo, Jang-Ting & Krause, Alan, 2020. "The credibility of commitment and optimal nonlinear savings taxation," Journal of Macroeconomics, Elsevier, vol. 65(C).
    7. Blume, Lawrence E. & Cogley, Timothy & Easley, David A. & Sargent, Thomas J. & Tsyrennikov, Viktor, 2018. "A case for incomplete markets," Journal of Economic Theory, Elsevier, vol. 178(C), pages 191-221.
    8. Viktor Tsyrennikov, 2015. "Investment, speculation, and financial regulation," 2015 Meeting Papers 627, Society for Economic Dynamics.
    9. Giulio Bottazzi & Pietro Dindo & Daniele Giachini, 2019. "Momentum and reversal in financial markets with persistent heterogeneity," Annals of Finance, Springer, vol. 15(4), pages 455-487, December.
    10. Bonam, Dennis & Goy, Gavin, 2019. "Home biased expectations and macroeconomic imbalances in a monetary union," Journal of Economic Dynamics and Control, Elsevier, vol. 103(C), pages 25-42.
    11. Yili Chien & Harold Cole & Hanno Lustig, 2016. "Implications of Heterogeneity in Preferences, Beliefs and Asset Trading Technologies in an Endowment Economy," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 20, pages 215-239, April.
    12. Dindo, Pietro, 2019. "Survival in speculative markets," Journal of Economic Theory, Elsevier, vol. 181(C), pages 1-43.
    13. Giulio Bottazzi & Pietro Dindo & Daniele Giachini, 2018. "Long-run heterogeneity in an exchange economy with fixed-mix traders," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(2), pages 407-447, August.
    14. Acedański, Jan, 2017. "Heterogeneous expectations and the distribution of wealth," Journal of Macroeconomics, Elsevier, vol. 53(C), pages 162-175.
    15. Beker, Pablo F & Espino, Emilio, 2013. "Too Good to Be True: Asset Pricing Implications of Pessimism," The Warwick Economics Research Paper Series (TWERPS) 1031, University of Warwick, Department of Economics.
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    17. Beker, Pablo F. & Espino, Emilio, 2013. "Too Good to Be True: Asset Pricing Implications of Pessimism," Economic Research Papers 270428, University of Warwick - Department of Economics.

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    More about this item

    Keywords

    Wealth dynamics; survival; incomplete markets; diverse beliefs; learning;
    All these keywords.

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations

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