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2019 | 5 (19) | 2 |

Article title

Optimal growth processes in a non-stationary Gale economy with a multilane production turnpike

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EN

Abstracts

EN
The topic of the paper is relevant in the field of optimal growth theory and therefore might be seen as an intellectual underpinning for research and practice in the field of transition economies and sustainable long-time development as well. It refers to the papers Panek (2015a, 2018) devoted to asymptotic properties of optimal growth properties in the non-stationary Gale type economy with single and multi-lane turnpikes in which it was assumed that changing production technology converges in time with certain limits of technology. As far as the postulate of a non-stationary economy (here: technology change) is consistent with real processes, the hypothesis of the existence of some limiting technology may raise controversies and be difficult to verify. In the paper, referring to the above mentioned publications and Panek (2014), a Gale-type economy with changing technology, multi-lane turnpike and time-increasing production efficiency, with no assumption concerning the existence of a limit technology will be examined.

Year

Volume

Issue

2

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Dates

published
2019-06-28

Contributors

author
  • Poznań University of Economics and Business, Faculty of Informatics and Electronic Economy, Department of Mathematical Economics, al. Niepodległości 10, 60-967 Poznań, Poland, emil.panek@ue.poznan.pl, ORCID: https://orcid.org/000-0002-7950-1689.

References

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  • Gantz D. (1980), A Strong Turnpike Theorem for a Nonstationary von Neumann-Gale Production Model, Econometrica, 48(7), 1977-90.
  • Grune L. and Guglielmi R. (2018), Turnpike properties and strict dissipativity for discrete time linear quadratic optimal control problems, SIAM Journal of Control Optimization, 56(2), 1282-1302.
  • Jensen M. K. (2012), Global Stability and the “Turnpike” in Optimal Unbounded Growth Models, Journal of Economic Theory, 142 (2), 802-832.
  • Joshi S. (1997), Turnpike Theorems in Nonconvex Nonstationary Envirenments, International Economic Review, 38(1), 225-248.
  • Keeler E. B. (1972), A Twisted Turnpike, International Economic Review, 13(1), 160-166.
  • Khan M. A. and Piazza A., (2011), An Overview of Turnpike Theory: Towards the Discounted Deterministic Case. In: Kusuoka S., Maruyama T. (Eds.), Advances Mathematical Economics (vol.14, pp. 39-68), Tokyo-Dordrecht-Heidelberg-London-New York: Springer.
  • 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, New York, Heidelberg, Berlin: Springer-Verlag.
  • McKenzie L. W. (1976), Turnpike Theory, Econometrica, 44(5), 841-866.
  • Mc Kenzie L. W. (2005), Optimal Economic Growth, Turnpike Theorems and Comparative Dynamics. In: Arrow K. J., Intriligator M. D. (Eds.), Handbook of Mathematical Economics, (ed. 2, vol. III, chapter 26), Stanford: Elsevier
  • Mowszowicz S. M. (1969), Tieoriemy o magistrali w modeliach Neumanna-Gale’a (słabaja forma), Ekonomika i matiemaiczeskije mietody, 5(6), 877-889.
  • Nikaido H. (1968), Convex Structures and Economic Theory, New York: Academic Press,
  • Panek. E. (2003), Ekonomia matematyczna, Wyd. AE Poznań.
  • Panek E. (2013), „Słaby” i „bardzo silny” efekt magistrali w niestacjonarnej gospodarce Gale’a z graniczną technologią, Przegląd Statystyczny, 60 (3), 291-304.
  • Panek E. (2014) Niestacjonarna gospodarka Gale’a z rosnącą efektywnością produkcji na magistrali, Przegląd Statystyczny, 61 (1), 5-14.
  • Panek E., 2015a, A turnpike theorem for a non-stationary Gale economy with limit technology. A particular case, Economics and Business Review, Vol. 1 (15), No 4: 3-13.
  • Panek E. (2015b), Zakrzywiona magistrala w niestacjonarnej gospodarce Gale’a, Cęść I , Przegląd Statystyczny, 62 (2), 149-163.
  • Panek E. (2016), Gospodarka Gale’a z wieloma magistralami. „Słaby” efekt magistrali, Przegląd Statystyczny, 63 (4), 355-374.
  • Panek E. (2017), „Słaby” efekt magistrali w niestacjonarnej gospodarce Gale’a z graniczną technologią i wielopasmową magistralą, Matematyka i informatyka na usługach ekonomii. D. Appenzeller (Red.), Wyd. UE Poznań, 94-110.
  • Panek E. (2018), Niestacjonarna gospodarka Gale’a z graniczną technologią i wielopasmową magistralą produkcyjną. „Słaby”, „silny” i „bardzo silny” efekt magistrali, Przegląd Statystyczny, nr 65 (4): 373-393.
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  • A Turnpike Theorem, Review of Economic Studies, 28(2), 98-104.
  • Takayama A. (1985), Mathematical Economics. Cambridge: Cambridge Univ. Press.
  • Trelat E., Zhang C. and Zuazua E. (2018), Steady-state and periodic exponential turnpike property for optimal control problems in Hilbert spaces, SIAM Journal of Control and Optimization, 56(2), 1222-1252.
  • Zaslavski A.J. (2015), Turnpike Theory of Continuous-Time Linear Optimal Control Problems, Cham-Heidelberg-New York-Dortrecht-London: Springer International Publishing.

Document Type

Publication order reference

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YADDA identifier

bwmeta1.element.desklight-77cc5318-39eb-4bc3-9dc7-17c16ad23296
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