IDEAS home Printed from https://ideas.repec.org/p/hal/cesptp/halshs-00505141.html
   My bibliography  Save this paper

Nominal Uniqueness and Money Non-neutrality in the Limit-Price Exchange Process

Author

Listed:
  • Gaël Giraud

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Dimitrios P. Tsomocos

    (Saïd Business School University - University of Oxford)

Abstract

We define continuous-time dynamics for exchange economies with fiat money. Traders have locally rational expectations, face a cash-in-advance constraint, and continuously adjust their short-run dominant strategy in a monetary strategic market game involving a double-auction with limit-price orders. Money has a positive value except on optimal rest-points where it becomes a "veil" and trade vanishes. Typically, there is a peicewise globally unique trade-ant-price curve both in real and in nominal variables. Money is not neutral, either in the short-run or long-run, and a localized version of the quantity theory of money holds in the short-run. An optimal money growth rate is derived, which enables monetary trade curves to converge towards Pareto optimal rest-points. Below this growth rate, the economy enters a (sub-optimal) liquidity trap where monetary policy is ineffective ; above this threshold inflation rises. Finally, market liquidity, measured through the speed of real trades, can be linked to gains-to-trade, households' expectations, and the quantity of circulating money.

Suggested Citation

  • Gaël Giraud & Dimitrios P. Tsomocos, 2010. "Nominal Uniqueness and Money Non-neutrality in the Limit-Price Exchange Process," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00505141, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00505141
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00505141
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-00505141/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Smale, Stephen, 1976. "Exchange processes with price adjustment," Journal of Mathematical Economics, Elsevier, vol. 3(3), pages 211-226, December.
    2. Smale, Stephen, 1976. "Dynamics in General Equilibrium Theory," American Economic Review, American Economic Association, vol. 66(2), pages 288-294, May.
    3. Champsaur, Paul & Dreze, Jacques H & Henry, Claude, 1977. "Stability Theorems with Economic Applications," Econometrica, Econometric Society, vol. 45(2), pages 273-294, March.
    4. Florig, Michael, 2001. "Hierarchic competitive equilibria," Journal of Mathematical Economics, Elsevier, vol. 35(4), pages 515-546, July.
    5. Pradeep Dubey & John Geanakoplos, 2000. "Inside and Outside Money, Gains to Trade, and IS-LM," Cowles Foundation Discussion Papers 1257, Cowles Foundation for Research in Economics, Yale University.
    6. Tsomocos, Dimitrios P., 2008. "Generic determinacy and money non-neutrality of international monetary equilibria," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 866-887, July.
    7. Dimitrios P. Tsomocos, 2012. "Equilibrium Analysis, Banking and Financial Instability," Chapters, in: The Challenge of Financial Stability, chapter 4, pages 61-97, Edward Elgar Publishing.
    8. J. M. Bonnisseau & M. Florig & A. Jofré, 2001. "Differentiability of Equilibria for Linear Exchange Economies," Journal of Optimization Theory and Applications, Springer, vol. 109(2), pages 265-288, May.
    9. Champsaur, P. & Cornet, B., 1989. "Walrasian Exchange Processes," LIDAM Discussion Papers CORE 1989030, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. Dubey, Pradeep & Geanakoplos, John, 2003. "Monetary equilibrium with missing markets," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 585-618, July.
    11. Charles Goodhart & Pojanart Sunirand & Dimitrios Tsomocos, 2006. "A model to analyse financial fragility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(1), pages 107-142, January.
    12. Pradeep Dubey & Lloyd S. Shapley, 1977. "Noncooperative Exchange with a Continuum of Traders," Cowles Foundation Discussion Papers 447, Cowles Foundation for Research in Economics, Yale University.
    13. Pradeep Dubey & John Geanakoplos, 2006. "Determinacy with nominal assets and outside money," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 27(1), pages 79-106, January.
    14. Jean-Michel Grandmont & Yves Younes, 1972. "On the Role of Money and the Existence of a Monetary Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 39(3), pages 355-372.
    15. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702.
    16. Bottazzi, Jean-Marc, 1994. "Accessibility of Pareto optima by Walrasian exchange processes," Journal of Mathematical Economics, Elsevier, vol. 23(6), pages 585-603, November.
    17. Raphaël Espinoza & Charles. Goodhart & Dimitrios Tsomocos, 2009. "State prices, liquidity, and default," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(2), pages 177-194, May.
    18. Dimitrios P Tsomocos & Gael Giraud & CNRS & Universite Paris-1, 2004. "Global Uniqueness and Money Non-neutrality in a Walrasian Dynamics without Rational Expectations," Economics Series Working Papers 2004-FE-15, University of Oxford, Department of Economics.
    19. Sahi, Siddhartha & Yao, Shuntian, 1989. "The non-cooperative equilibria of a trading economy with complete markets and consistent prices," Journal of Mathematical Economics, Elsevier, vol. 18(4), pages 325-346, September.
    20. Gaël Giraud, 2004. "The limit-price exchange process," Cahiers de la Maison des Sciences Economiques b04118, Université Panthéon-Sorbonne (Paris 1).
    21. Weyers, Sonia, 2003. "A strategic market game with limit prices," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 529-558, July.
    22. M. Shubik & D. Tsomocos, 1992. "A strategic market game with a mutual bank with fractional reserves and redemption in gold," Journal of Economics, Springer, vol. 55(2), pages 123-150, June.
    23. DREZE, Jacques H. & POLEMARCHAKIS, Heracles M., 1994. "Money and Monetary Policy in General Equilibrium," LIDAM Discussion Papers CORE 1994080, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    24. Alan P. Kirman, 1992. "Whom or What Does the Representative Individual Represent?," Journal of Economic Perspectives, American Economic Association, vol. 6(2), pages 117-136, Spring.
    25. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
    26. Mertens, J. F., 2003. "The limit-price mechanism," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 433-528, July.
    27. Giraud, Gael, 2003. "Strategic market games: an introduction," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 355-375, July.
    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. Gaël Giraud, 2010. "Financial crashes versus liquidity trap : the dilemma of monetary policy," Post-Print halshs-00657047, HAL.
    2. Gaël Giraud & Nguenamadji Orntangar, 2011. "Monetary Policy under Finite Speed of Trades and Myopia," Documents de travail du Centre d'Economie de la Sorbonne 11011, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    3. Gaël Giraud & Céline Rochon, 2010. "Transition to Equilibrium in International Trades," Documents de travail du Centre d'Economie de la Sorbonne 10012, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    4. Dixon, Huw & Pourpourides, Panayiotis M., 2016. "On imperfect competition with occasionally binding cash-in-advance constraints," Journal of Macroeconomics, Elsevier, vol. 50(C), pages 72-85.
    5. Giraud, Gaël & Grasselli, Matheus, 2021. "Household debt: The missing link between inequality and secular stagnation," Journal of Economic Behavior & Organization, Elsevier, vol. 183(C), pages 901-927.
    6. Liao, Mouhua, 2016. "A market game with symmetric limit orders," Journal of Mathematical Economics, Elsevier, vol. 64(C), pages 66-76.
    7. Dmitry Levando, 2012. "A Survey Of Strategic Market Games," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 57(194), pages 63-106, July - Se.

    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. Gaël Giraud & Dimitrios Tsomocos, 2004. "Global uniqueness and money non-neutrality in a Walrasian dynamics without rational expectations," Cahiers de la Maison des Sciences Economiques b04121, Université Panthéon-Sorbonne (Paris 1).
    2. Gaël Giraud, 2004. "The limit-price exchange process," Cahiers de la Maison des Sciences Economiques b04118, Université Panthéon-Sorbonne (Paris 1).
    3. Xuan Wang, 2019. "When Do Currency Unions Benefit From Default ?," 2019 Papers pwa938, Job Market Papers.
    4. Dmitry Levando, 2012. "A Survey Of Strategic Market Games," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 57(194), pages 63-106, July - Se.
    5. Gaël Giraud & Céline Rochon, 2010. "Transition to Equilibrium in International Trades," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00657038, HAL.
    6. Xuan Wang, 2021. "Bankruptcy Codes and Risk Sharing of Currency Unions," Tinbergen Institute Discussion Papers 21-009/IV, Tinbergen Institute.
    7. Goodhart, Charles A.E. & Tsomocos, Dimitrios P. & Wang, Xuan, 2023. "Bank credit, inflation, and default risks over an infinite horizon," Journal of Financial Stability, Elsevier, vol. 67(C).
    8. M. Udara Peiris & Dimitrios P. Tsomocos, 2019. "International monetary equilibrium with default," Chapters, in: Financial Regulation and Stability, chapter 10, pages 259-269, Edward Elgar Publishing.
    9. Raphael Espinoza & Dimitrios P. Tsomocos, 2019. "Monetary transaction costs and the term premium," Chapters, in: Financial Regulation and Stability, chapter 8, pages 224-244, Edward Elgar Publishing.
    10. Li Lin & Dimitrios P. Tsomocos & Alexandros P. Vardoulakis, 2016. "On default and uniqueness of monetary equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(1), pages 245-264, June.
    11. Raphael A. Espinoza & Charles A. E. Goodhart & Dimitrios P. Tsomocos, 2006. "Endogenous State Prices, Liquidity, Default, and the Yield Curve," OFRC Working Papers Series 2006fe15, Oxford Financial Research Centre.
    12. Gersbach, Hans & Zelzner, Sebastian, 2022. "Why Bank Money Creation?," CEPR Discussion Papers 17753, C.E.P.R. Discussion Papers.
    13. Gaël Giraud, 2007. "The Limit-price dynamics - uniqueness, computability and comparative dynamics in competitive markets," Documents de travail du Centre d'Economie de la Sorbonne b07020, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    14. Gaël Giraud, 2007. "Walrasian non-tatonnement with incomplete and imperfectly competitive markets," Documents de travail du Centre d'Economie de la Sorbonne b07021, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    15. Wang, Xuan, 2023. "A macro-financial perspective to analyse maturity mismatch and default," Journal of Banking & Finance, Elsevier, vol. 151(C).
    16. Raphaël Espinoza & Charles. Goodhart & Dimitrios Tsomocos, 2009. "State prices, liquidity, and default," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(2), pages 177-194, May.
    17. Xuan Wang, 2020. "A Macro-Financial Perspective to Analyse Maturity Mismatch and Default," Tinbergen Institute Discussion Papers 20-064/IV, Tinbergen Institute.
    18. Giraud, Gael, 2003. "Strategic market games: an introduction," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 355-375, July.
    19. Kumhof, Michael & Wang, Xuan, 2021. "Banks, money, and the zero lower bound on deposit rates," Journal of Economic Dynamics and Control, Elsevier, vol. 132(C).
    20. Juan Francisco Martínez S. & Dimitrios P. Tsomocos, 2019. "Liquidity and default in an exchange economy," Chapters, in: Financial Regulation and Stability, chapter 7, pages 201-223, Edward Elgar Publishing.

    More about this item

    Keywords

    double auction; limit-price orders; inflation; bounded rationality; Bank; money; price-quantity dynamics; inside money; outside money; rational expectations; liquidity;
    All these keywords.

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • E12 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Keynes; Keynesian; Post-Keynesian; Modern Monetary Theory
    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • E30 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - General (includes Measurement and Data)
    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General
    • E41 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Demand for Money
    • E50 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - General
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies

    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:hal:cesptp:halshs-00505141. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.