Changing Production on the Market with Continuum Traders

Authors

  • Agnieszka Lipieta Cracow University of Economics, Department of Mathematics

DOI:

https://doi.org/10.15678/ZNUEK.2015.0940.0406

Keywords:

economy with continuum traders, reduced consumption sphere, continuous trajectory of changes, projections

Abstract

Assume that in a Debreu private ownership economy, all consumption sets are contained in a proper subspace of the commodity-price space. This property motivates producers to change their activities on markets to plans from the same subspace. Alterations in production take time, so to model changes occurring in the production sector of an economy, time should be involved. In contrast to the results I obtained from a 2010 study, in the economy with continuum traders, excluding a finite number of producers from the process that adjusts the economy to the given requirements does not disturb equilibrium. The aim of this paper is to present the possible trajectories of producers' activity changing their plans in the economy with continuum traders. The process of moving the production system and, consequently, the whole economy to an economy reduced to a given subspace will be elaborated. As a result, a system of economies in equilibrium dependent on time is presented.

Downloads

Download data is not yet available.

References

Aumann R. J. (1962), Market with a Continuum of Traders I-IV, Economic Resarch Program, Princeton University Press, RM.

Aumann R. J. (1966), Existence of Competitive Equilibria in Markets with a Continuum of Traders, "Econometrica", vol. 34, http://dx.doi.org/10.2307/1909854. DOI: https://doi.org/10.2307/1909854

Aliprantis C. D.(1966), Problems in Equilibrium Theory, Springer-Verlag, Berlin-Heidelberg, Germany.

Cheney E. W. (1966), Introduction to Approximation Theory, McGraw Hill, New York.

Debreu G. (1959), Theory of Value, New York, Wiley.

Debreu G. (1982), Existence of Competitive Equilibrium (in:) K. J. Arrow, M. D. Intriligator (eds), Handbook of Mathematical Economics, vol. 3, North-Holland, Amsterdam. DOI: https://doi.org/10.1016/S1573-4382(82)02010-4

Lipieta A. (2010), The Debreu Private Ownership Economy with Complementary Commodities and Prices, "Economic Modelling", vol. 27: 22-27, http://dx.doi.org/10.1016/j.econmod.2009.07.005. DOI: https://doi.org/10.1016/j.econmod.2009.07.005

Lipieta A. (2012), The Economy with Production and Consumption Systems Changing in Time, "Przegląd Statystyczny", vol. LIX, nr 3. DOI: https://doi.org/10.59139/ps.2012.03.2

Magill M., Quinzii M. (2002), Theory of Incomplete Markets, MIT Press, Cambridge.

Radner R. (1970), Existence of Equilibrium of Plans, Prices and Price Expectations in a Sequence of Markets, "Econometrica", vol. 40. DOI: https://doi.org/10.2307/1909407

Downloads

Published

17-11-2015

Issue

Section

Articles

How to Cite

Lipieta, A. (2015). Changing Production on the Market with Continuum Traders. Krakow Review of Economics and Management Zeszyty Naukowe Uniwersytetu Ekonomicznego W Krakowie, 4(940), 71-83. https://doi.org/10.15678/ZNUEK.2015.0940.0406