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2021 | 7 (21) | nr 1 | 7--25
Tytuł artykułu

The Minimal-Time Growth Problem and Turnpike Effect in the Stationary Gale Economy

Autorzy
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In mathematical economics there is a number of so called "turnpike theorems" proved mainly on the basis of multiproduct models of economic dynamics. According to these theorems, all optimal paths of economic growth over a long period of time converge to a certain path (turnpike) in which the economy achieves the highest growth rate while remaining in a specific dynamic (von Neumann) equilibrium. The article refers to this trend and presents some properties of optimal growth processes in the Gale-type model of the stationary economy when the quality criterion of growth processes is not the utility of production-which is normally postulated in the turnpike theory-but the time needed by the economy to achieve the desired final state, e.g. the level of production or production value. According to the author's knowledge, the idea of using time as a criterion for growth in turnpike theory (especially in Gale-type economy) is innovative. It has been proven that changing the growth criterion does not deprive the Gale economy of its asymptotic / turnpike properties.(original abstract)
Rocznik
Tom
Numer
Strony
7--25
Opis fizyczny
Twórcy
autor
  • University of Zielona Góra
Bibliografia
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  • Giorgi, G., & Zuccotti, C. (2016). Equilibrium and optimality in Gale-von Neumann models. (DEM Working Papers No. 118, University of Pavia, Department of Economics and Management).
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  • Mitra, T., & Nishimura, K. (2009). Equilibrium, trade and growth. Selected papers of Lionel W. McKenzie. Cambridge, MA: The MIT Press.
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  • Panek, E. (2014). Model Gale'a ze zmienną technologią, rosnącą efektywnością produkcji i szczególną postacią kryterium wzrostu. "Słaby" efekt magistrali. Przegląd Statystyczny, 61(4), 325-334.
  • Panek, E. (2015). A turnpike theorem for non-stationary Gale economy with limit technology. A particular case. Economics and Business Review, 1(15), 3-13.
  • Panek, E. (2019). Non-stationary Gale economy with limit technology. Multilane turnpike and general form of optimality criterion. Argumenta Oeconomica Cracoviensia, 1(20), 9-22.
  • Panek, E. (2021). Gale economy with investment and limiting technology. Central European Journal of Economic Modelling and Econometrics (in printing).
  • Radner, R. (1961). Path of economic growth that are optimal with regard to final states: A turnpike theorem. The Review of Economic Studies, 28(2), 98-104.
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  • Trelat, E., Zhang, C., & Zuazua, E. (2018). Steady-state and periodic exponential turnpike property for optimal control problems in the Hilbert spaces, SIAM Journal on Control and Optimization, 56(2), 1222-1252.
  • Zaslawski, A. J. (2006). Turnpike properties in the calculus of variations and optimal control. New York: Springer. Zaslawski, A. J. (2015). Turnpike theory and contionuous-time linear optimal control problems. Cham, Heidelberg, New York, Dortrecht, London: Springer.
  • Zhitlukhin, M. (2019). Supporting prices in a stochastic von Neumann-Gale model of a financial market. Theory of Probability and Its Applications, 64(4), 553-563.
Typ dokumentu
Bibliografia
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Identyfikator YADDA
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