IDEAS home Printed from https://ideas.repec.org/p/nwu/cmsems/1003.html

Proof of the Existence of Speculative Equilibria

Author

Listed:
  • Matthew O. Jackson

Abstract

The existence of speculative equilibria is proven in a simple overlapping generations, infinite horizon economy. In equilibrium, all agents bid assets according to increasing functions of private information which is uncorrelated with the fundamental value (dividend stream) of the asset. This is a unique best response to the strategies of the other agents, which implies that speculative information is valuable.

Suggested Citation

  • Matthew O. Jackson, 1992. "Proof of the Existence of Speculative Equilibria," Discussion Papers 1003, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    • Handle: RePEc:nwu:cmsems:1003
    as

    Download full text from publisher

    File URL: http://www.kellogg.northwestern.edu/research/math/papers/1003.pdf
    File Function: main text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Forges, Francoise & Peck, James, 1995. "Correlated Equilibrium and Sunspot Equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 33-50, January.
    2. James Peck & Karl Shell, 1991. "Market Uncertainty: Correlated and Sunspot Equilibria in Imperfectly Competitive Economies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(5), pages 1011-1029.
    3. Spear, Stephen E, 1989. "Are Sunspots Necessary?," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 965-973, August.
    4. Peck, James, 1988. "On the existence of sunspot equilibria in an overlapping generations model," Journal of Economic Theory, Elsevier, vol. 44(1), pages 19-42, February.
    5. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    6. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
    7. James Peck & Karl Shell, 2003. "Equilibrium Bank Runs," Journal of Political Economy, University of Chicago Press, vol. 111(1), pages 103-123, February.
    8. Jackson, Matthew & Peck, James, 1991. "Speculation and price fluctuations with private, extrinsic signals," Journal of Economic Theory, Elsevier, vol. 55(2), pages 274-295, 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. is not listed on IDEAS
    2. Matthew Spiegel, 1996. "Stock Price Volatility in a Multiple Security Overlapping Generations Model," Finance 9608002, University Library of Munich, Germany.

    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. Arifovic, Jasmina & Jiang, Janet Hua, 2019. "Strategic uncertainty and the power of extrinsic signals– evidence from an experimental study of bank runs," Journal of Economic Behavior & Organization, Elsevier, vol. 167(C), pages 1-17.
    2. Garratt, Rod & Keister, Todd & Qin, Cheng-Zhong & Shell, Karl, 2002. "Equilibrium Prices When the Sunspot Variable Is Continuous," Journal of Economic Theory, Elsevier, vol. 107(1), pages 11-38, November.
    3. 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.
    4. Acharya, Sushant & Benhabib, Jess & Huo, Zhen, 2021. "The anatomy of sentiment-driven fluctuations," Journal of Economic Theory, Elsevier, vol. 195(C).
    5. Jess Benhabib & Pengfei Wang & Yi Wen, 2017. "Uncertainty and Sentiment-Driven Equilibria," Studies in Economic Theory, in: Kazuo Nishimura & Alain Venditti & Nicholas C. Yannelis (ed.), Sunspots and Non-Linear Dynamics, chapter 0, pages 281-304, Springer.
    6. Russell, Steven, 1997. ""Quasifundamental" Variation in the Price Level and the Inflation Rate," Journal of Economic Theory, Elsevier, vol. 74(1), pages 106-151, May.
    7. Polemarchakis, Herakles M. & Ray, Indrajit, 2006. "Sunspots, correlation and competition," Games and Economic Behavior, Elsevier, vol. 56(1), pages 174-184, July.
    8. Matthew O. Jackson & James Peck, 1993. "Costly Information Acquisition," Discussion Papers 1087, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    9. John Duffy & Eric O'N. Fisher, 2005. "Sunspots in the Laboratory," American Economic Review, American Economic Association, vol. 95(3), pages 510-529, June.
    10. Bhattacharya, Joydeep & Russell, Steven, 2003. "Two-period cycles in a three-period overlapping generations model," Journal of Economic Theory, Elsevier, vol. 109(2), pages 378-401, April.
    11. George-Marios Angeletos & Chen Lian, 2016. "Incomplete Information in Macroeconomics: Accommodating Frictions in Coordination," NBER Working Papers 22297, National Bureau of Economic Research, Inc.
    12. repec:hum:wpaper:sfb649dp2011-070 is not listed on IDEAS
    13. Giraud, Gael & Rochon, Celine, 2002. "Consistent collusion-proofness and correlation in exchange economies," Journal of Mathematical Economics, Elsevier, vol. 38(4), pages 441-463, December.
    14. Peter T Leeson, 2014. "Oracles," Rationality and Society, , vol. 26(2), pages 141-169, May.
    15. Fukuda, Shin-ichi, 1998. "Sunspot equilibria and periodic cycles under idiosyncratic uncertainty," Journal of Economic Behavior & Organization, Elsevier, vol. 36(1), pages 127-138, July.
    16. Aloisio Araujo & Wilfredo L. Maldonado & Diogo Pinheiro & Alberto A. Pinto & Mohammad Choubdar Soltanahmadi, 2021. "Refinement of dynamic equilibrium using small random perturbations," International Journal of Economic Theory, The International Society for Economic Theory, vol. 17(3), pages 258-283, September.
    17. Krebs, Tom, 1997. "Statistical Equilibrium in One-Step Forward Looking Economic Models," Journal of Economic Theory, Elsevier, vol. 73(2), pages 365-394, April.
    18. Chatterji, Shurojit & Chattopadhyay, Subir, 2006. "Functional sunspot equilibria," Journal of Mathematical Economics, Elsevier, vol. 42(1), pages 22-35, February.
    19. Pengfei Wang & Yi Wen, 2007. "Incomplete information and self-fulfilling prophecies," Working Papers 2007-033, Federal Reserve Bank of St. Louis.
    20. Jaimovich, Nir, 2007. "Firm dynamics and markup variations: Implications for sunspot equilibria and endogenous economic fluctuations," Journal of Economic Theory, Elsevier, vol. 137(1), pages 300-325, November.
    21. Benhabib, Jess & Wang, Pengfei, 2015. "Private information and sunspots in sequential asset markets," Journal of Economic Theory, Elsevier, vol. 158(PB), pages 558-584.

    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:nwu:cmsems:1003. 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: Fran Walker The email address of this maintainer does not seem to be valid anymore. Please ask Fran Walker to update the entry or send us the correct address (email available below). General contact details of provider: https://edirc.repec.org/data/cmnwuus.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.