IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v56y2015icp58-66.html
   My bibliography  Save this article

Price-level volatility and welfare in incomplete markets with sunspots

Author

Listed:
  • Kang, Minwook

Abstract

In an economy with incomplete financial markets as described by Cass (1989), there is typically a continuum of equilibria driven by sunspots. In some cases, there is no Pareto ranking among the different sunspot equilibria. However, this paper shows that a sunspot equilibrium with lower price-volatility is superior in economic welfare to one with higher price-volatility based on a compensation test of balanced tax-transfer plans. Specifically, I start with a non-singular benchmark equilibrium. For any nearby equilibrium prices with smaller volatility, there exists a small redistribution of first period endowments that achieves an equilibrium with the same price-volatility but is yet Pareto-superior to the benchmark equilibrium. Such a Pareto-improving redistribution does not exist for the nearby equilibrium with higher price-volatility.

Suggested Citation

  • Kang, Minwook, 2015. "Price-level volatility and welfare in incomplete markets with sunspots," Journal of Mathematical Economics, Elsevier, vol. 56(C), pages 58-66.
    • Handle: RePEc:eee:mateco:v:56:y:2015:i:c:p:58-66
    DOI: 10.1016/j.jmateco.2014.12.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304406814001505
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jmateco.2014.12.003?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Atsushi Kajii & Antonio Villanacci & Alessandro Citanna, 1998. "Constrained suboptimality in incomplete markets: a general approach and two applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 495-521.
    2. Bhattacharya, Joydeep & Guzman, Mark G. & Shell, Karl, 1998. "Price Level Volatility: A Simple Model of Money Taxes and Sunspots," Journal of Economic Theory, Elsevier, vol. 81(2), pages 401-430, August.
    3. Siconolfi, Paolo, 1991. "Sunspot equilibria and incomplete financial markets," Journal of Mathematical Economics, Elsevier, vol. 20(3), pages 327-339.
    4. Gaetano Antinolfi & Todd Keister, 1998. "Options and sunspots in a simple monetary economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(2), pages 295-315.
    5. Atsushi Kajii, 2007. "Welfare Gains And Losses In Sunspot Equilibria," The Japanese Economic Review, Japanese Economic Association, vol. 58(3), pages 329-344, September.
    6. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    7. Manuelli, Rodolfo & Peck, James, 1992. "Sunspot-like effects of random endowments," Journal of Economic Dynamics and Control, Elsevier, vol. 16(2), pages 193-206, April.
    8. Goenka, Aditya & Prechac, Christophe, 2006. "Stabilizing sunspots," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 544-555, August.
    9. Loi, Andrea & Matta, Stefano, 2010. "A note on the structural stability of the equilibrium manifold," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 591-594, July.
    10. Geanakoplos, John & Mas-Colell, Andreu, 1989. "Real indeterminacy with financial assets," Journal of Economic Theory, Elsevier, vol. 47(1), pages 22-38, February.
    11. Balasko, Yves, 1983. "Extrinsic uncertainty revisited," Journal of Economic Theory, Elsevier, vol. 31(2), pages 203-210, December.
    12. 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.
    13. Atsushi Kajii, 1997. "On the Role of Options in Sunspot Equilibria," Econometrica, Econometric Society, vol. 65(4), pages 977-986, July.
    14. David Cass, 1989. "Sunspots and Incomplete Financial Markets: The Leading Example," Palgrave Macmillan Books, in: George R. Feiwel (ed.), The Economics of Imperfect Competition and Employment, chapter 25, pages 677-693, Palgrave Macmillan.
    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. Wang, Hanjie & Feil, Jan-Henning & Yu, Xiaohua, 2021. "Disagreement on sunspots and soybeans futures price," Economic Modelling, Elsevier, vol. 95(C), pages 385-393.

    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. Minwook KANG, 2014. "Sunspots and Inflation-indexed Bonds," Economic Growth Centre Working Paper Series 1401, Nanyang Technological University, School of Social Sciences, Economic Growth Centre.
    2. Atsushi Kajii, 2009. "Sunspot Equilibria In A Production Economy: Do Rational Animal Spirits Cause Overproduction?," The Japanese Economic Review, Japanese Economic Association, vol. 60(1), pages 35-54, March.
    3. Atsushi Kajii, 2007. "Welfare Gains And Losses In Sunspot Equilibria," The Japanese Economic Review, Japanese Economic Association, vol. 58(3), pages 329-344, September.
    4. Jean-Marc Tallon, 1995. "Théorie de l'équilibre général avec marchés financiers incomplets," Revue Économique, Programme National Persée, vol. 46(5), pages 1207-1239.
    5. 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.
    6. Prescott, Edward C. & Shell, Karl, 2002. "Introduction to Sunspots and Lotteries," Journal of Economic Theory, Elsevier, vol. 107(1), pages 1-10, November.
    7. Keister, Todd, 1998. "Money Taxes and Efficiency When Sunspots Matter," Journal of Economic Theory, Elsevier, vol. 83(1), pages 43-68, November.
    8. Balasko, Yves & Geanakoplos, John, 2012. "Introduction to general equilibrium," Journal of Economic Theory, Elsevier, vol. 147(2), pages 400-406.
    9. 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.
    10. Bowman, David & Faust, Jon, 1997. "Options, Sunspots, and the Creation of Uncertainty," Journal of Political Economy, University of Chicago Press, vol. 105(5), pages 957-975, October.
    11. Piero Gottardi & Rohit Rahi, 2014. "Value Of Information In Competitive Economies With Incomplete Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(1), pages 57-81, February.
    12. Duffie, Darrell, 2003. "Intertemporal asset pricing theory," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 11, pages 639-742, Elsevier.
    13. Bisin, Alberto, 1998. "General Equilibrium with Endogenously Incomplete Financial Markets," Journal of Economic Theory, Elsevier, vol. 82(1), pages 19-45, September.
    14. Christophe Prechac & Aditya Goenka, 2004. "Are Sunspots Inevitable?," Econometric Society 2004 Far Eastern Meetings 786, Econometric Society.
    15. Cass, David & Pavlova, Anna, 2004. "On trees and logs," Journal of Economic Theory, Elsevier, vol. 116(1), pages 41-83, May.
    16. Bhattacharya, Joydeep & Guzman, Mark G. & Shell, Karl, 1998. "Price Level Volatility: A Simple Model of Money Taxes and Sunspots," Journal of Economic Theory, Elsevier, vol. 81(2), pages 401-430, August.
    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. 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.
    19. 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.
    20. 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.

    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:56:y:2015:i:c:p:58-66. 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.