IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v50y2014icp119-127.html

The relation between sunspot effects and multiplicity in incomplete markets models with numeraire assets

Author

Listed:
  • Hoelle, Matthew

Abstract

This paper considers the necessity and sufficiency of multiple certainty equilibria for sunspot effects, and shows that neither implication is valid. This claim is made for models with incomplete markets and numeraire assets. First, I prove that a multiplicity of certainty equilibria is neither necessary nor sufficient for sunspot effects by way of two counter-examples. Second, I verify over an entire subset of economies that equilibrium with sunspot effects can never be characterized as a randomization over multiple certainty equilibria.

Suggested Citation

  • Hoelle, Matthew, 2014. "The relation between sunspot effects and multiplicity in incomplete markets models with numeraire assets," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 119-127.
    • Handle: RePEc:eee:mateco:v:50:y:2014:i:c:p:119-127
    DOI: 10.1016/j.jmateco.2013.10.011
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304406813001031
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jmateco.2013.10.011?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Costas Azariadis & Roger Guesnerie, 1986. "Sunspots and Cycles," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(5), pages 725-737.
    2. Felix Kubler & Karl Schmedders, 2010. "Tackling Multiplicity of Equilibria with Gröbner Bases," Operations Research, INFORMS, vol. 58(4-part-2), pages 1037-1050, August.
    3. Richard C. Barnett & Eric O'N. Fisher, 2002. "Comment on: "Do Sunspots Matter When Spot Market Equilibria Are Unique?"," Econometrica, Econometric Society, vol. 70(1), pages 393-396, January.
    4. Rod Garratt & Todd Keister & Karl Shell, 2004. "Comparing Sunspot Equilibrium And Lottery Equilibrium Allocations: The Finite Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 351-386, May.
    5. 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.
    6. Balasko, Yves, 1983. "Extrinsic uncertainty revisited," Journal of Economic Theory, Elsevier, vol. 31(2), pages 203-210, December.
    7. Alessandro Citanna & John Donaldson & Herakles Polemarchakis & Paolo Siconolfi & Stephan E. Spear (ed.), 2005. "Essays in Dynamic General Equilibrium Theory," Studies in Economic Theory, Springer, number 978-3-540-27192-5, February.
    8. Thorsten Hens & Beate Pilgrim, 2004. "Sunspot equilibria and the transfer paradox," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(3), pages 583-602, October.
    9. Cass, David, 1992. "Sunspots and Incomplete Financial Markets: The General Case," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(3), pages 341-358, July.
    10. Thorsten Hens, 2000. "Do Sunspots Matter when Spot Market Equilibria Are Unique?," Econometrica, Econometric Society, vol. 68(2), pages 435-441, March.
    11. Thorsten Hens & János Mayer & Beate Pilgrim, 2005. "Existence of Sunspot Equilibria and Uniqueness of Spot Market Equilibria: The Case of Intrinsically Complete Markets," Studies in Economic Theory, in: Alessandro Citanna & John Donaldson & Herakles Polemarchakis & Paolo Siconolfi & Stephan E. Spear (ed.), Essays in Dynamic General Equilibrium Theory, pages 75-106, Springer.
    12. Thorsten Hens & Beate Pilgrim & Janos Mayer, "undated". "Existence of Sunspot Equilibria and Uniqueness of Spot Market Equilibria: The Case of Intrinsically Complete Markets," IEW - Working Papers 188, Institute for Empirical Research in Economics - University of Zurich.
    13. Piero Gottardi & Atsushi Kajii, 1999. "The Structure of Sunspot Equilibria: The Role of Multiplicity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(3), pages 713-732.
    14. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    15. Hens, Thorsten & Pilgrim, Beate, 2004. "Sunspot Equilibria and the Transfer Paradox," Discussion Papers 2004/14, Norwegian School of Economics, Department of Business and Management Science.
    16. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
    Full references (including those not matched with items on IDEAS)

    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. Hens, Thorsten & Pilgrim, Beate, 2004. "Sunspot Equilibria and the Transfer Paradox," Discussion Papers 2004/14, Norwegian School of Economics, Department of Business and Management Science.
    2. Thorsten Hens & Beate Pilgrim, 2004. "Sunspot equilibria and the transfer paradox," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(3), pages 583-602, October.
    3. Takeshi Momi, 2008. "Note on the non-existence of sunspot equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 36(3), pages 503-513, September.
    4. John Duffy & Eric O'N. Fisher, 2005. "Sunspots in the Laboratory," American Economic Review, American Economic Association, vol. 95(3), pages 510-529, June.
    5. Acharya, Sushant & Dogra, Keshav & Singh, Sanjay, 2021. "The Financial Origins of Non-Fundamental Risk," CEPR Discussion Papers 16793, Centre for Economic Policy Research.
    6. Mark G. Guzman & Joseph H. Haslag & Pia M. Orrenius, 2015. "Government policy under price uncertainty: A source of volatility in illegal immigration," Canadian Journal of Economics, Canadian Economics Association, vol. 48(3), pages 940-962, August.
    7. Krebs, Tom, 1997. "Statistical Equilibrium in One-Step Forward Looking Economic Models," Journal of Economic Theory, Elsevier, vol. 73(2), pages 365-394, April.
    8. Mark G. Guzman & Joseph H. Haslag & Pia M. Orrenius, 2003. "A role for government policy and sunspots in explaining endogenous fluctuations in illegal immigration," Working Papers 0305, Federal Reserve Bank of Dallas.
    9. Polemarchakis, Herakles M. & Ray, Indrajit, 2006. "Sunspots, correlation and competition," Games and Economic Behavior, Elsevier, vol. 56(1), pages 174-184, July.
    10. 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.
    11. Acharya, Sushant & Benhabib, Jess & Huo, Zhen, 2021. "The anatomy of sentiment-driven fluctuations," Journal of Economic Theory, Elsevier, vol. 195(C).
    12. 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.
    13. 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.
    14. Rocheteau, Guillaume & Wang, Lu, 2023. "Endogenous liquidity and volatility," Journal of Economic Theory, Elsevier, vol. 210(C).
    15. Roger E.A. Farmer, 2019. "The Indeterminacy School in Macroeconomics," NBER Working Papers 25879, National Bureau of Economic Research, Inc.
    16. repec:hum:wpaper:sfb649dp2011-070 is not listed on IDEAS
    17. Prescott, Edward C. & Shell, Karl, 2002. "Introduction to Sunspots and Lotteries," Journal of Economic Theory, Elsevier, vol. 107(1), pages 1-10, November.
    18. Pedro Gil, 2013. "Animal spirits and the composition of innovation in a lab-equipment R&D model with transition," Journal of Economics, Springer, vol. 108(1), pages 1-33, January.
    19. Guse, Eran A., 2005. "Stability properties for learning with heterogeneous expectations and multiple equilibria," Journal of Economic Dynamics and Control, Elsevier, vol. 29(10), pages 1623-1642, October.
    20. Kang, Minwook, 2015. "Price-level volatility and welfare in incomplete markets with sunspots," Journal of Mathematical Economics, Elsevier, vol. 56(C), pages 58-66.
    21. Jackson Matthew O., 1994. "A Proof of the Existence of Speculative Equilibria," Journal of Economic Theory, Elsevier, vol. 64(1), pages 221-233, October.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:eee:mateco:v:50:y:2014:i:c:p:119-127. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    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.