ARTICLE
ABSTRACT
This article, in reference to Panek (2013a) presents proof of the “strong” turnpike theorem in the non-stationary Gale economy with changeable technology convergent to some limit technology. In the proof of the theorem assumption, that production processes efficiency in the economy is the lower the more the investment/input structure in such processes differs the optimum, play significant roles.
The paper is part of trend of few works of mathematical economics containing proofs of the turnpike theorems in the non-stationary dynamic Neumann-Gale economic models.
KEYWORDS
non-stationary Gale-type economy with limit technology, von Neumann prices, production turnpike
REFERENCES
Jensen M. K., (2012), Global Stability and the “Turnpike” in Optimal Unbounded Growth Models, Journal of Economic Theory, 142 (2), 802–832.
Khan M. A., Piazza A., (2011), An Overview of Turnpike Theory: Towards the Disconunted Deterministic Case, Advanced Mathematical Economics, 14, 39–68.
Majumdar M., (2009), Equilibrium and Optimality: Some Imprints of David Gale, Games and Economic Behavior, 66 (2), 607–626.
Makarov V. L., Rubinov A. M., (1977), Mathematical Theory of Economic Dynamics and Equilibria, Springer-Verlag, New York, Heidelberg, Berlin.
McKenzie L. W., (1976), Turnpike Theory, Econometrica, 44, 841–866.
McKenzie L. W., (1998), Turnpikes, American Economic Review, 88 (2), 1–14.
McKenzie L. W., (2005), Optimal Economic Growth, Turnpike Theorems and Comparative Dynamics, w: Arrow K. J., Intriligator M. D., (red.), Handbook of Mathematical Economics, wyd. 2, wol. III, rozdział 26, 1281–1355.
Nikaido H., (1968), Convex Structures and Economic Theory, Acad. Press, New York.
Panek E., (2011), O pewnej wersji “słabego” twierdzenia o magistrali w modelu von Neumanna, Przegląd Statystyczny, 58 (1–2), 75–87.
Panek E., (2013a), „Słaby” i „bardzo silny” efekt magistrali w niestacjonarnej gospodarce Gale’a z graniczną technologią, Przegląd Statystyczny, 60 (3), 291–303.
Panek E., (2013b), „Silny” efekt magistrali w modelu dynamiki ekonomicznej typu Gale’a. Zagadnienie wzrostu docelowego, Przegląd Statystyczny, 60 (4), 447–460.
Panek E., (2015), „Silny” efekt magistrali w modelu dynamiki ekonomicznej typu Gale’a. Zagadnienie wzrostu docelowego (Autopoprawka), Przegląd Statystyczny, 62 (2), 253–257.
Samuelson P. A., (1960), Efficient Path of Capital Accumulation in Terms of the Calculus of Variations, w: Arrow K. J., Karlin S., Suppes P., (red.), Mathematical Methods in the Social Sciences, 1959, Proceedings of the first Stanford Symposium, Stanford University Press, Stanford, California, 77–88.
