Existence and Uniqueness of the Producers' Optimal Adjustment Trajectory in a Debreu-Type Economy

• Autorzy: Agnieszka Lipieta
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is the analysis of adjustment processes in a Debreu-type economy. The reasons taken into account, e.g. incentives, cooperation of economic agents under full access to information, the way of sending messages described formally, are the basis for defining adjustment trajectories. Some reasons, such as introducing new legal requirements or implementing new profitable technologies formulated in mathematical language, can contribute to the transformation of the production sector and induce an appropriate way of adjusting the producers' plans of action. This survey relies on an examination of the relationships between quantities of goods and quantities of the productive factors used to produce them. As a result, the optimal producers' trajectories, due to the criterion of cost minimization, are defined. The paper also contains some remarks on the uniqueness of the trajectories under study.(original abstract)

Słowa kluczowe

EN

Debreu economy; Private property

PL

Ekonomia Debreu; Własność prywatna

• Czasopismo: Mathematical Economics
• Rocznik: 2015
• Numer: nr 11 (18)
• Strony: 55--68

Twórcy

autor

Agnieszka Lipieta

• Cracow University of Economics

Bibliografia

• Arrow K.J., Intriligator M.D. (eds.) (1987). Handbook of Mathematical Economics. Vol. 3. Amsterdam. North-Holland.
• Cheney E.W. (1966). Introduction to Approximation Theory. Mc Grow Hill. New York.
• Ciałowicz B., Malawski A. (2011). The Role of Banks in the Schumpeterian Innovative Evolution, an Axiomatic Set-Up. In: A. Pyka, F. Derengowski, M. da Graca (eds.). Catching Up, Spillovers and Innovations Networks in a Schumpeterian Perspective. Springer. Heidelberg, Dordrecht, London, New York. Pp. 31-58.
• Debreu G. (1959). Theory of Value. Viley. New York.
• Lipieta A. (1999). Cominimal projections in ln ∞. Journal of Approximation Theory 98. Pp. 86-100.
• Lipieta A. (2010). The Debreu private ownership economy with complementary commodities and prices. Economic Modelling 27. Pp. 22-27.
• Lipieta A. (2012). The economy with production and consumption systems changing in time. Przegląd Statystyczny. Tom LIX. Zeszyt 3. Pp. 233-245.
• Lipieta A. (2013). Mechanisms of Schumpeterian Evolution. In: A. Malawski (ed.) Innovative economy as the Object of Investigation in Theoretical Economics. Cracow University of Economics Press. Pp. 94-119.
• Magill M., Quinzii M. (2002). Theory of Incomplete Markets. MIT Press. Cambridge.
• Malawski A. (1999). Metoda aksjomatyczna w ekonomii. Ossolineum. Wrocław.
• Mas-Colell A., Whinston M.D., Green J.R. (1995). Microeconomic Theory. Oxford University Press. New York.
• Moore J. (2007). General Equilibrium and Welfare Economics. Springer. Berlin-Heidelberg-New Jork.
• Radner R. (1972). Existence of equilibrium of plans, prices and price expectations in a sequence of markets. Econometrica. Vol. 40. No. 2. Pp. 289-303.
• Varian H.R. (1999). Intermediate Microeconomics. A Modern Approach. W.W. Norton & Company. New York, London.

Identyfikatory

DOI

10.15611/me.2015.11.05