IDEAS home Printed from https://ideas.repec.org/a/ucp/jpolec/doi10.1086-704072.html
   My bibliography  Save this article

Survival and Long-Run Dynamics with Heterogeneous Beliefs under Recursive Preferences

Author

Listed:
  • Jaroslav Borovička

Abstract

I analytically characterize the long-run behavior of an economy with two types of agents who differ in their beliefs and are endowed with homothetic recursive preferences. Agents with more incorrect beliefs dominate, or agents with different accuracy of their beliefs coexist in the long run, for broad ranges of plausible parameterizations when risk aversion is greater than the inverse of the intertemporal elasticity of substitution. The results highlight a crucial interaction between risk sharing, speculative behavior and consumption-saving choice of agents with heterogeneous beliefs, and the role of equilibrium prices in shaping long-run outcomes.

Suggested Citation

  • 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.
  • Handle: RePEc:ucp:jpolec:doi:10.1086/704072
    DOI: 10.1086/704072
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1086/704072
    Download Restriction: Access to the online full text or PDF requires a subscription.

    File URL: http://dx.doi.org/10.1086/704072
    Download Restriction: Access to the online full text or PDF requires a subscription.

    File URL: https://libkey.io/10.1086/704072?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Basak, Suleyman & Cuoco, Domenico, 1998. "An Equilibrium Model with Restricted Stock Market Participation," The Review of Financial Studies, Society for Financial Studies, vol. 11(2), pages 309-341.
    2. Elyès Jouini & Clotilde Napp, 2007. "Consensus Consumer and Intertemporal Asset Pricing with Heterogeneous Beliefs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(4), pages 1149-1174.
    3. Harjoat S. Bhamra & Raman Uppal, 2014. "Asset Prices with Heterogeneity in Preferences and Beliefs," The Review of Financial Studies, Society for Financial Studies, vol. 27(2), pages 519-580.
    4. Hui Chen & Scott Joslin & Ngoc-Khanh Tran, 2012. "Rare Disasters and Risk Sharing with Heterogeneous Beliefs," The Review of Financial Studies, Society for Financial Studies, vol. 25(7), pages 2189-2224.
    5. Kogan, Leonid & Ross, Stephen A. & Wang, Jiang & Westerfield, Mark M., 2017. "Market selection," Journal of Economic Theory, Elsevier, vol. 168(C), pages 209-236.
    6. Philippe Weil, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 29-42.
    7. Hongjun Yan, 2008. "Natural Selection in Financial Markets: Does It Work?," Management Science, INFORMS, vol. 54(11), pages 1935-1950, November.
    8. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    9. 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.
    10. Stavros Panageas, 2020. "The Implications of Heterogeneity and Inequality for Asset Pricing," NBER Working Papers 26974, National Bureau of Economic Research, Inc.
    11. Alvaro Sandroni, 2000. "Do Markets Favor Agents Able to Make Accurate Predicitions?," Econometrica, Econometric Society, vol. 68(6), pages 1303-1342, November.
    12. Kan Rui, 1995. "Structure of Pareto Optima When Agents Have Stochastic Recursive Preferences," Journal of Economic Theory, Elsevier, vol. 66(2), pages 626-631, August.
    13. Epstein, Larry G. & Miao, Jianjun, 2003. "A two-person dynamic equilibrium under ambiguity," Journal of Economic Dynamics and Control, Elsevier, vol. 27(7), pages 1253-1288, May.
    14. Epstein, Larry G & Zin, Stanley E, 1991. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 263-286, April.
    15. Leigh Tesfatsion & Kenneth L. Judd (ed.), 2006. "Handbook of Computational Economics," Handbook of Computational Economics, Elsevier, edition 1, volume 2, number 2.
    16. Domenico Cuoco & Hua He, 2001. "Dynamic Aggregation and Computation of Equilibria in Finite-Dimensional Economies with Incomplete Financial Markets," Annals of Economics and Finance, Society for AEF, vol. 2(2), pages 265-296, November.
    17. Hongjun Yan, 2008. "Natural Selection in Financial Markets: Does It Work?," Management Science, INFORMS, vol. 54(11), pages 1935-1950, November.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. Felipe S. Iachan & Plamen T. Nenov & Alp Simsek, 2021. "The Choice Channel of Financial Innovation," American Economic Journal: Macroeconomics, American Economic Association, vol. 13(2), pages 333-372, April.
    3. Han, Kookyoung, 2021. "Self-enforcement, heterogeneous agents, and long-run survival," Economics Letters, Elsevier, vol. 204(C).
    4. Joseph P. Byrne & Boulis M. Ibrahim & Xiaoyu Zong, 2020. "Asset Prices and Capital Share Risks: Theory and Evidence," Papers 2006.14023, arXiv.org.
    5. Steven D Baker & Burton Hollifield & Emilio Osambela, 2020. "Preventing Controversial Catastrophes," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 10(1), pages 1-60.
    6. Guan, Guohui & Hu, Xiang, 2022. "Equilibrium mean–variance reinsurance and investment strategies for a general insurance company under smooth ambiguity," The North American Journal of Economics and Finance, Elsevier, vol. 63(C).
    7. Mikhail Zhitlukhin, 2022. "A continuous-time asset market game with short-lived assets," Finance and Stochastics, Springer, vol. 26(3), pages 587-630, July.
    8. Sheng, Jiliang & Xu, Si & An, Yunbi & Yang, Jun, 2022. "Dynamic asset pricing in delegated investment: An investigation from the perspective of heterogeneous beliefs of institutional and retail investors," Economic Modelling, Elsevier, vol. 107(C).
    9. Bottazzi, Giulio & Dindo, Pietro, 2022. "Drift criteria for persistence of discrete stochastic processes on the line," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    10. Chabakauri, Georgy & Han, Brandon Yueyang, 2020. "Collateral constraints and asset prices," Journal of Financial Economics, Elsevier, vol. 138(3), pages 754-776.
    11. Chabakauri, Georgy & Rytchkov, Oleg, 2021. "Asset pricing with index investing," Journal of Financial Economics, Elsevier, vol. 141(1), pages 195-216.
    12. Pohl, Walter & Schmedders, Karl & Wilms, Ole, 2021. "Asset pricing with heterogeneous agents and long-run risk," Journal of Financial Economics, Elsevier, vol. 140(3), pages 941-964.
    13. Branger, Nicole & Konermann, Patrick & Schlag, Christian, 2019. "Optimists and pessimists in (in)complete markets," SAFE Working Paper Series 252, Leibniz Institute for Financial Research SAFE.
    14. Li, Kai & Liu, Jun, 2023. "Extrapolative asset pricing," Journal of Economic Theory, Elsevier, vol. 210(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zeckhauser, Richard Jay & Tran, Ngoc-Khanh, 2011. "The Behavior of Savings and Asset Prices When Preferences and Beliefs are Heterogeneous," Scholarly Articles 5027955, Harvard Kennedy School of Government.
    2. Dindo, Pietro, 2019. "Survival in speculative markets," Journal of Economic Theory, Elsevier, vol. 181(C), pages 1-43.
    3. YiLi Chien & Harold L. Cole & Hanno Lustig, 2014. "Implications of heterogeneity in preferences, beliefs and asset trading technologies for the macroeconomy," Working Papers 2014-14, Federal Reserve Bank of St. Louis.
    4. 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.
    5. 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.
    6. Raman Uppal & Harjoat Bhamra, 2016. "Do Individual Behavioral Biases Affect Financial Markets and the Macroeconomy?," 2016 Meeting Papers 1358, Society for Economic Dynamics.
    7. He, Xue-Zhong & Shi, Lei, 2017. "Index portfolio and welfare analysis under heterogeneous beliefs," Journal of Banking & Finance, Elsevier, vol. 75(C), pages 64-79.
    8. Guerdjikova, Ani & Sciubba, Emanuela, 2015. "Survival with ambiguity," Journal of Economic Theory, Elsevier, vol. 155(C), pages 50-94.
    9. Lei Shi, 2010. "Portfolio Analysis and Equilibrium Asset Pricing with Heterogeneous Beliefs," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 2-2010.
    10. 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.
    11. Elyès Jouini & Clotilde Napp, 2010. "Unbiased Disagreement in Financial Markets, Waves of Pessimism and the Risk-Return Trade-off," Review of Finance, European Finance Association, vol. 15(3), pages 575-601.
    12. Suzuki, Masataka, 2016. "A representative agent asset pricing model with heterogeneous beliefs and recursive utility," International Review of Economics & Finance, Elsevier, vol. 45(C), pages 298-315.
    13. Wang, Hailong & Hu, Duni, 2021. "Heterogeneous beliefs with herding behaviors and asset pricing in two goods world," The North American Journal of Economics and Finance, Elsevier, vol. 57(C).
    14. Stavros Panageas, 2020. "The Implications of Heterogeneity and Inequality for Asset Pricing," NBER Working Papers 26974, National Bureau of Economic Research, Inc.
    15. Roman Muraviev, 2013. "Market selection with learning and catching up with the Joneses," Finance and Stochastics, Springer, vol. 17(2), pages 273-304, April.
    16. Branger, Nicole & Konermann, Patrick & Schlag, Christian, 2019. "Optimists and pessimists in (in)complete markets," SAFE Working Paper Series 252, Leibniz Institute for Financial Research SAFE.
    17. Massari, Filippo, 2017. "Markets with heterogeneous beliefs: A necessary and sufficient condition for a trader to vanish," Journal of Economic Dynamics and Control, Elsevier, vol. 78(C), pages 190-205.
    18. Harjoat S. Bhamra & Raman Uppal, 2014. "Asset Prices with Heterogeneity in Preferences and Beliefs," Review of Financial Studies, Society for Financial Studies, vol. 27(2), pages 519-580.
    19. Jaksa Cvitanic & Elyès Jouini & Semyon Malamud & Clotilde Napp, 2011. "Financial Markets Equilibrium with Heterogeneous Agents," Review of Finance, European Finance Association, vol. 16(1), pages 285-321.
    20. Cvitanic, Jaksa & Malamud, Semyon, 2011. "Price impact and portfolio impact," Journal of Financial Economics, Elsevier, vol. 100(1), pages 201-225, April.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ucp:jpolec:doi:10.1086/704072. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Journals Division (email available below). General contact details of provider: https://www.journals.uchicago.edu/JPE .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.