Emil Panek

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In the reference to articles Panek (2014, 2015) in the paper two version of the so called twisted turnpike in the nonstationary Gale economy are presented. There states that if in the non-stationary Gale economy the optimal growth process in the certain period of the time reaches the twisted turnpike and the von Neumann prices do not change to abruptly, than irrespectively of the length of the horizon of the economy such a process for all next periods can be found in the turnpike’s proximity, except for perhaps the final time.


non-stationary Gale economy, von Neumann prices, twisted turnpike


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Keeler E. B., (1972), A Twisted Turnpike, International Economic Review, 13 (1), 160–166.

Khan M. A., Piazza A., (2011a), An Overview of Turnpike Theory: Towards the Discounted Deterministic Case, Advances in Mathematical Economics, 14, 39–67.

Khan M. A., Piazza, A., (2011b), Classical Turnpike Theory and the Economics of Forestry, Journal of Behavioral Economics and Organization, 79, 194–201.

Khan M. A., Piazza A., (2012), Turnpike Theory: A Current Perspective, w: Durlauf S. N., Blume L. E., (red.), The New Palgrave Dictionary of Economics, Online Ed., Palgrave Macmillan, 6, 1–13.

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Panek E., (2003), Ekonomia matematyczna, Wydawnictwo AEP, Poznań.

Panek E., (2011), O pewnej wersji „słabego” twierdzenia o magistrali w modelu von Neumanna, Przegląd Statystyczny, 58 (1-2), 75–87.

Panek E., (2013), „Słaby” i „bardzo silny” efekt magistrali w niestacjonarnej gospodarce Gale’a z graniczną technologią, Przegląd Statystyczny, 60 (3), 291–303.

Panek E., (2014), O pewnej wersji twierdzenia o magistrali w gospodarce Gale’a ze zmienną technologią, Przegląd Statystyczny, 61 (2), 105–114.

Panek E., (2015), Zakrzywiona magistrala w niestacjonarnej gospodarce Gale’a. Cz. I, Przegląd Statystyczny, 62 (2), 149–163.

Takayama A., (1985), Mathematical Economics, Cambridge Univ. Press, Cambridge.

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