IDEAS home Printed from https://ideas.repec.org/p/nbr/nberwo/28261.html
   My bibliography  Save this paper

Self-Fulfilling Prophecies, Quasi Non-Ergodicity & Wealth Inequality

Author

Listed:
  • Roger Farmer
  • Jean-Philippe Bouchaud

Abstract

We construct a model of an exchange economy in which agents trade assets contingent on an observable signal, the probability of which depends on public opinion. The agents in our model are replaced occasionally and each person updates beliefs in response to observed outcomes. We show that the distribution of the observed signal is described by a quasi-non-ergodic process and that people continue to disagree with each other forever. These disagreements generate large wealth inequalities that arise from the multiplicative nature of wealth dynamics which make successful bold bets highly profitable.

Suggested Citation

  • Roger Farmer & Jean-Philippe Bouchaud, 2020. "Self-Fulfilling Prophecies, Quasi Non-Ergodicity & Wealth Inequality," NBER Working Papers 28261, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:28261
    Note: AP EFG
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/w28261.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Farmer, Roger E.A. & Nourry, Carine & Venditti, Alain, 2011. "Debt, deficits and finite horizons: The stochastic case," Economics Letters, Elsevier, vol. 111(1), pages 47-49, April.
    2. Cogley, Timothy & Sargent, Thomas J., 2008. "The market price of risk and the equity premium: A legacy of the Great Depression?," Journal of Monetary Economics, Elsevier, vol. 55(3), pages 454-476, April.
    3. Massari, Filippo, 2019. "Market selection in large economies: a matter of luck," Theoretical Economics, Econometric Society, vol. 14(2), May.
    4. Xavier Gabaix, 2009. "Power Laws in Economics and Finance," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, May.
    5. Klaus Adam & Albert Marcet & Johannes Beutel, 2017. "Stock Price Booms and Expected Capital Gains," American Economic Review, American Economic Association, vol. 107(8), pages 2352-2408, August.
    6. Klaus Adam & Albert Marcet & Juan Pablo Nicolini, 2016. "Stock Market Volatility and Learning," Journal of Finance, American Finance Association, vol. 71(1), pages 33-82, February.
    7. Giorgio Parisi, 2007. "Physics Complexity And Biology," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 10(supp0), pages 223-232.
    8. Alan Kirman, 1993. "Ants, Rationality, and Recruitment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(1), pages 137-156.
    9. Nicolae Gârleanu & Stavros Panageas, 2015. "Young, Old, Conservative, and Bold: The Implications of Heterogeneity and Finite Lives for Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 123(3), pages 670-685.
    10. Beker, Pablo F. & Espino, Emilio, 2011. "The dynamics of efficient asset trading with heterogeneous beliefs," Journal of Economic Theory, Elsevier, vol. 146(1), pages 189-229, January.
    11. Timothy Cogley & ThomasJ. Sargent, 2009. "Diverse Beliefs, Survival and the Market Price of Risk," Economic Journal, Royal Economic Society, vol. 119(536), pages 354-376, March.
    12. Jess Benhabib & Pengfei Wang & Yi Wen, 2015. "Sentiments and Aggregate Demand Fluctuations," Econometrica, Econometric Society, vol. 83, pages 549-585, March.
    13. Grossman, Sanford J & Stiglitz, Joseph E, 1980. "On the Impossibility of Informationally Efficient Markets," American Economic Review, American Economic Association, vol. 70(3), pages 393-408, June.
    14. Roger E. A. Farmer, 2018. "Pricing Assets in a Perpetual Youth Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 30, pages 106-124, October.
    15. Roger E A Farmer, 2020. "The importance of beliefs in shaping macroeconomic outcomes," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 36(3), pages 675-711.
    16. Xavier Gabaix & Jean‐Michel Lasry & Pierre‐Louis Lions & Benjamin Moll, 2016. "The Dynamics of Inequality," Econometrica, Econometric Society, vol. 84, pages 2071-2111, November.
    17. Pablo G. Debenedetti & Frank H. Stillinger, 2001. "Supercooled liquids and the glass transition," Nature, Nature, vol. 410(6825), pages 259-267, March.
    18. Jess Benhabib & Alberto Bisin & Shenghao Zhu, 2011. "The Distribution of Wealth and Fiscal Policy in Economies With Finitely Lived Agents," Econometrica, Econometric Society, vol. 79(1), pages 123-157, January.
    19. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    20. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
    21. Stephen Morris & Hyun Song Shin, 2002. "Social Value of Public Information," American Economic Review, American Economic Association, vol. 92(5), pages 1521-1534, December.
    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. Michele Vodret & Iacopo Mastromatteo & Bence Tóth & Michael Benzaquen, 2023. "Microfounding GARCH models and beyond: a Kyle-inspired model with adaptive agents," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 18(3), pages 599-625, July.
    2. Michele Vodret & Iacopo Mastromatteo & Bence Tóth & Michael Benzaquen, 2022. "Microfounding GARCH Models and Beyond: A Kyle-inspired Model with Adaptive Agents," Working Papers hal-03797251, HAL.
    3. Michele Vodret & Iacopo Mastromatteo & Bence Toth & Michael Benzaquen, 2022. "Microfounding GARCH Models and Beyond: A Kyle-inspired Model with Adaptive Agents," Papers 2206.06764, arXiv.org.

    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. Jean-Philippe Bouchaud & Roger E. A. Farmer, 2023. "Self-Fulfilling Prophecies, Quasi Nonergodicity, and Wealth Inequality," Journal of Political Economy, University of Chicago Press, vol. 131(4), pages 947-993.
    2. Angeletos, G.-M. & Lian, C., 2016. "Incomplete Information in Macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 1065-1240, Elsevier.
    3. Nakov, Anton & Nuño, Galo, 2015. "Learning from experience in the stock market," Journal of Economic Dynamics and Control, Elsevier, vol. 52(C), pages 224-239.
    4. Chahrour, Ryan & Gaballo, Gaetano, 2017. "Learning from prices: amplication and business fluctuations," Working Paper Series 2053, European Central Bank.
    5. George-Marios Angeletos & Chen Lian, 2016. "Incomplete Information in Macroeconomics: Accommodating Frictions in Coordination," NBER Working Papers 22297, National Bureau of Economic Research, Inc.
    6. Jess Benhabib & Chetan Dave, 2014. "Learning, Large Deviations and Rare Events," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(3), pages 367-382, July.
    7. Roger E. A. Farmer, 2018. "Pricing Assets in a Perpetual Youth Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 30, pages 106-124, October.
    8. Toda, Alexis Akira, 2019. "Wealth distribution with random discount factors," Journal of Monetary Economics, Elsevier, vol. 104(C), pages 101-113.
    9. Nagel, Rosemarie & Bühren, Christoph & Frank, Björn, 2017. "Inspired and inspiring: Hervé Moulin and the discovery of the beauty contest game," Mathematical Social Sciences, Elsevier, vol. 90(C), pages 191-207.
    10. Leland Farmer & Roger Farmer, 2022. "Zoomers and Boomers: Asset Prices and Intergenerational Inequality," NBER Working Papers 30419, National Bureau of Economic Research, Inc.
    11. Khieu, Hoang & Wälde, Klaus, 2023. "Capital income risk and the dynamics of the wealth distribution," Economic Modelling, Elsevier, vol. 122(C).
    12. Klaus Adam & Albert Marcet & Juan Pablo Nicolini, 2016. "Stock Market Volatility and Learning," Journal of Finance, American Finance Association, vol. 71(1), pages 33-82, February.
    13. Li, Jinfang, 2022. "The sentiment pricing dynamics with short-term and long-term learning," The North American Journal of Economics and Finance, Elsevier, vol. 63(C).
    14. Acharya, Sushant & Benhabib, Jess & Huo, Zhen, 2021. "The anatomy of sentiment-driven fluctuations," Journal of Economic Theory, Elsevier, vol. 195(C).
    15. Mäkinen, Taneli & Ohl, Björn, 2015. "Information acquisition and learning from prices over the business cycle," Journal of Economic Theory, Elsevier, vol. 158(PB), pages 585-633.
    16. Stachurski, John & Toda, Alexis Akira, 2019. "An impossibility theorem for wealth in heterogeneous-agent models with limited heterogeneity," Journal of Economic Theory, Elsevier, vol. 182(C), pages 1-24.
    17. George-Marios Angeletos & Luigi Iovino & Jennifer La'O, 2011. "Cycles, Gaps, and the Social Value of Information," NBER Working Papers 17229, National Bureau of Economic Research, Inc.
    18. Dan Cao & Wenlan Luo, 2017. "Persistent Heterogeneous Returns and Top End Wealth Inequality," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 26, pages 301-326, October.
    19. Makridis, Christos A., 2022. "The social transmission of economic sentiment on consumption," European Economic Review, Elsevier, vol. 148(C).
    20. Philippe Bacchetta & Eric Van Wincoop, 2006. "Can Information Heterogeneity Explain the Exchange Rate Determination Puzzle?," American Economic Review, American Economic Association, vol. 96(3), pages 552-576, June.

    More about this item

    JEL classification:

    • E0 - Macroeconomics and Monetary Economics - - General
    • G0 - Financial Economics - - General
    • 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

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:nbr:nberwo:28261. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/nberrus.html .

    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.