The Exchange Function and A Dynamic Exchange Model

Li, Wu (2015): The Exchange Function and A Dynamic Exchange Model.

Abstract

In the neoclassical economics the tatonnement process is utilized to explain the price change. However, the tatonnement process assumes that there is no trading before the prices reach the equilibrium prices, which is extremely unrealistic since in the markets of the real world the exchange processes usually occur at disequilibrium prices. In this sense, the tatonnement process fails to describe and explain the price fluctuation and the disequilibrium exchange process in the real world. In this paper we introduce an exchange function to describe the exchange process under fixed prices. Based on the exchange function a discrete-time dynamic exchange model is developed. In the model a disequilibrium exchange process occurs in each period, and the prices vary on the basis of the prices and the exchange outcome in the preceding period.

• Item Type: MPRA Paper
• Language: English
• Keywords: exchange economy; disequilibrium; tatonnement process
• Subjects: C - Mathematical and Quantitative Methods > C5 - Econometric Modeling; D - Microeconomics > D4 - Market Structure, Pricing, and Design; D - Microeconomics > D5 - General Equilibrium and Disequilibrium

References

Arestis, P. (1996) Post-Keynesian Economics: Towards Coherence. Cambridge Journal of Economics, 20. pp:111–135.

Bapat, R. B., Raghavan, T. E. S. (1997) Nonnegative Matrices and Applications. Cambridge University Press.

Benassy, J. (1975). Disequilibrium Exchange in Barter and Monetary Economies. Economic Inquiry, 13. pp:131–156.

Benassy, J. (1982). The economics of Market Disequilibrium. New York: Academic Press.

Benetti, C., Bidard, C., Klimovsky, E., Rebeyrol, A. (2012) Reproduction and Temporary Disequilibrium: A Classical Approach. Metroeconomica, 63. pp:614–633.

Dreze, J. H. (1975). Existence of an Exchange Equilibrium under Price Rigidities. International Economic Review. pp:301–320.

Song, X. (2003) A Two-sector Adaptive Economizing Model of Economic Growth. Journal of economic behavior & organization, 52. pp:585–594.

Uzawa, H. (1962)Walras’s Existence Theorem and Brouwer’s Fixed-point Theorem. Economic Studies Quaterly, 13. pp:59–62.