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 piecewise globally unique trade-and-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.
This is a preview of subscription content, access via your institution.
References
Aubin J.-P., Cellina A.: Differential Inclusions. Springer, Berlin (1984)
Bloise G., Polemarchakis H.M.: Introduction to the symposium. Econ Theory 27(1), 1–23 (2006)
Bonnisseau J.-M., Florig M., Jofre A.: Differentiability of equilibria for linear exchange economies. J Optim Theory Appl 109(2), 265–288 (2001)
Bottazzi J.-M.: Accessibility of pareto optima by Walrasian exchange processes. J Math Econ 23, 585–603 (1994)
Champsaur P., Cornet B.: Walrasian exchange processes. In: Gabszewicz, J.-J., Richard, J.-F., Wolsey, L.A. (eds) Economic Decision Making: Games, Econometrics and Optimization, Elsevier, Amsterdam (1990)
Champsaur P., Drèze J.H., Henry C.: Stability theorems with economic applications. Econometrica 45(2), 273–294 (1977)
Clower R.: A reconsideration for the microeconomic foundations of monetary theory. West Econ J 6, 1–8 (1967)
Cornet, B.: Linear exchange economies. Cahier Eco-Math, Université de Paris 1 (1989)
Coste, M.: An introduction to O-minimal geometry, Università di Pisa, lecture notes (2000)
Drèze J., Polemarchakis H.: Money and monetary policy in general equilibrium. In: Gérard-Varet, L.-A., Kirman, A.P., Ruggiero, M. (eds) Economics, the Next Ten Years, Oxford University Press, Oxford (1999)
Drèze J., Polemarchakis H.: Intertemporal general equilibrium and monetary theory. In: Leijonhufvud, A. (eds) Monetary Theory as a Basis for Monetary Policy, Macmillan, New York (2000)
Drèze J., Polemarchakis H.: Monetary Equilibrium. In: Debreu, G., Neuefeind, W., Trockel, W. (eds) Economics Essays—A Festschrift for Werner Hildenbrand, Springer, Berlin (2001)
Dubey P., Geanakoplos J.: The value of money in a finite horizon economy: a role for banks. In: Dasgupta, P., Gale, D. (eds) Economic Analysis of Market and Games, pp. 407–444. MIT Press, Cambridge (1992)
Dubey P., Geanakoplos J.: Inside and outside money, gains-to-trade and IS-LM. Econ Theory 21, 347–397 (2003)
Dubey P., Geanakoplos J.: Monetary equilibrium with missing markets. J Math Econ 39, 585–613 (2003)
Dubey P., Geanakoplos J.: Determinacy with nominal assets and outside money. Econ Theory 27(1), 79–106 (2006)
Dubey P., Shapley L.S.: Non-cooperative exchange with a continuum of traders: two models. J Math Econ 23(3), 253–293 (1994)
Espinoza R., Goodhart C., Tsomocos D.: State prices, liquidity, and default. Econ Theory 39(2), 177–194 (2009)
Filippov A.I.: Differential Equations with a Discontinuous Right-Hand Side. Kluwer, Dotdrecht (1988)
Florig M.: Hierarchic competitive equilibria. J Math Econ 35, 515–546 (2001)
Giraud G.: Strategic market games: an introduction. J Math Econ 39, 355–375 (2003)
Giraud, G.: The Limit-price exchange process. Cahiers de la MSE b04118, Université Panthéon-Sorbonne (Paris 1) (2004)
Giraud, G.: From non-tâtonnement to monetary dynamics within general equilibrium theory. In: Lenfant J.-S. (ed.) General Equilibrium as Knowledge. From Walras Onwards (2009, forthcoming)
Giraud, G., Tsomocos, D.: Global Uniqueness and Money Non-Neutrality in a Walrasian Dynamics without Rational Expectations, OFRC fe-15 , University of Oxford, Saï d Business School (2004)
Goodhart C.A.E., Sunirand P., Tsomocos D.P.: A model to analyse financial fragility. Econ Theory 27, 107–142 (2006)
Grandmont J.-M.: Temporary equilibriu. In: Lawrence, B., Steve, D. (eds) The New Palgrave, Palgrave McMillan, New York (2007)
Grandmont J.-M., Younès Y.: On the role of money and the existence of monetary equilibrium. Rev Econ Stud 39, 355–372 (1972)
Gray L., Geanakoplos J.: When seeing further is not seeing better. Bull Santa Fe Inst 6(2), 1–6 (1991)
Gurley J.G., Shaw E.S.: Money in a Theory of Finance. Brookings, Washington, DC (1960)
Hahn, F.-H.: On some problems of proving the existence of an equilibrium in a monetary economy. Hahn, F.H. Brechling, F.R.P. (eds.) The Theory of Interest Rates. New York: MacMillan (1965)
Kirman A.P.: Whom or What Does the Representative Individual Represent?. J Econ Perspect 8(2), 11736 (1992)
Lucas R.: Expectations and the neutrality of money. J Econ Theory 4, 103–124 (1972)
Mas-Colell A.: The Theory of General Economic Equilibrium: A Differentiable Approach, Econometric Society Monograph. Cambridge University Press, Cambridge (1985)
Mertens J.-F.: The limit-price mechanism. J Math Econ 39, 433–528 (2003)
Sahi S., Yao S.: The Non-cooperative Equilibria of a Trading Economy with Complete Markets and Consistent Prices. J Math Econ 18, 325–346 (1989)
Shapley L.S., Shubik M.: Trading using one commodity as a means of payment. J Polit Econ 85(5), 937–968 (1977)
Shubik M., Tsomocos D.P.: A strategic market game with a mutual bank with fractional reserves and redemption in gold. J Econ 55(2), 123–150 (1992)
Shubik M., Wilson C.: The optimal bankuptcy rule in a trading economy using fiat money. J Econ 37, 337–354 (1977)
Smale S.: Dynamics in general equilibrium theory. Am Econ Rev 66, 288–294 (1976)
Smale S.: Exchange processes with price adjustment. J Math Econ 3, 211–226 (1976)
Smale, S.: Some Dynamical Questions in Mathematical Economics. Colloques Internationaux du Centre National de la Recherche Scientifique, No 259: Systèmes Dynamiques et Modèles Économiques (1977)
Tsomocos D.: Equilibrium analysis, banking and financial instability. J Math Econ 39, 619–655 (2003)
Tsomocos D.: Generic determinacy and money non-neutrality of international monetary equilibria. J Math Econ 44(7–8), 866–887 (2008)
Weyers S.: A strategic market game with limit prices. J Math Econ 39, 529–558 (2003)
Author information
Authors and Affiliations
Corresponding author
Additional information
We are grateful to seminar participants at the 1st Annual Caress-Cowles Conference on General Equilibrium and its Applications, New Haven, the General Equilibrium Workshop, Zürich, the University of Strasburg and Paris-1, and especially J.-M. Bonnisseau, B. Cornet, J. Geanakoplos, A. Mas-Colell and H. Polemarchakis for helpful comments. All remaining errors are ours. An earlier version of this paper was circulated under a different title, see Giraud and Tsomocos (2004).
Rights and permissions
About this article
Cite this article
Giraud, G., Tsomocos, D.P. Nominal uniqueness and money non-neutrality in the limit-price exchange process. Econ Theory 45, 303–348 (2010). https://doi.org/10.1007/s00199-009-0507-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00199-009-0507-4
Keywords
- Bank
- Money
- Price-quantity dynamics
- Inside money
- Outside money
- Rational expectations
- Liquidity
- Double auction
- Limit-price orders
- Inflation
- Bounded rationality