Sensitivity of optimal paths with respect to horizon length in a nonstationary multisector growth model

• Autorzy: Piotr Maćkowiak
• Języki publikacji: EN

Abstrakty

EN

In the paper we present some results on convergence properties of optimal programs of growth in a multisector growth model context. There is no need for convexity or monotonicity of production mappings though we impose continuity in product topology on intertemporal social utility function. We show that if final stock is sustainable then sensitivity and continuity of optimal growth paths hold - both in investment and consumption. We apply our results to a simple multisector Leontief growth model with consumption and discounted utility. (original abstract)

Słowa kluczowe

PL

Modele wzrostu; Analiza wrażliwości; Ciągłość biznesowa; Modele ekonomiczne

EN

Growth model; Sensitivity analysis; Business continuity; Economic models

• Czasopismo: The Poznań University of Economics Review
• Rocznik: 2003
• Tom: 3
• Numer: nr 2
• Strony: 31-40

Twórcy

autor

Piotr Maćkowiak

• Poznań University of Economics, Poland

Bibliografia

• Aliprantis C., Border K. (1999), Infinite dimensional analysis, New York, Springer Verlag.
• Berge C. (1963), Topological spaces, Edinburgh and London, Oliver and Boyd.
• Brock W. (1971), Sensitivity of optimal growth paths with respect to a change in target stocks, in: G. Bruckmann, W. Weber (eds.), Contributions to the von Neumann growth model, Vienna, Springer Verlag, pp. 73-89.
• Dasgupta S., Mitra T. (1999), Optimal and competitive programs in reachable multi sector models, "Economic Theory" Vol. 14, pp. 565-582.
• Dutta P. (1993), Finite horizon optimization, "Journal of Mathematical Economics" Vol. 22, pp. 101-123.
• McKenzie L. (1986), Optimal economic growth, turnpike theorems and comparative dynamics, in: K. Arrow, M. Intriligator (eds.), "Handbook of Mathematical Economics" Vol. 3, Amsterdam, North-Holland, pp. 1281-1353.
• Nermuth M. (1978), Sensitivity of optimal growth paths with respect to a change in target stocks or in the length of the planning horizon in a multisector model, "Journal of Mathematical Economics" Vol. 5, pp. 289-301.
• Nermuth M. (1993), Sensitivity of optimal growth paths with respect to a change in target stocks or in the length of the planning horizon in a multisector model: A corrigendum, "Journal of Mathematical Economics" Vol. 22, pp. 399-402.
• Nikaido H. (1968), Convex structures and economic theory, New York, Academic Press.