[
Babaei, E. (2020). Von Neumann-Gale dynamical systems with applications in economics and finance. University of Manchester.
]Search in Google Scholar
[
Babaei, E., Evstigneev I. V., Reiner Schenk-Hoppe, K., & Zhitlukhin, M. (2020). Von Neumann-Gale dynamics and capital growth in financial markets with frictions. Mathematics and Financial Economics, 14(2), 283–305.
]Search in Google Scholar
[
Cartigny, P., & Venditti, A. (1994). Turnpike theory: Some new results in the saddle point property of equilibria and on the existence of endogenous cycles. Journal of Economic Dynamics and Control, 18(5), 957–974.
]Search in Google Scholar
[
Dai, D., & Shen, K. (2013). A turnpike theorem involving a modified Golden Rule. Theoretical and Applied Economics, 20(11), 25–40.
]Search in Google Scholar
[
Giorgi, G., & Zuccotti, C. (2016). Equilibrium and optimality in Gale-von Neumann Models. DEM Working Papers, 118. University of Pavia.
]Search in Google Scholar
[
Heiland, J., & Zuazua, E. (2021). Classical system theory revisited for turnpike in standard state space systems and impulse controllable descriptor systems. SIAM Journal on Control and Optimization, 59(5), 3600–3624.
]Search in Google Scholar
[
Jensen, M. K. (2012). Global stability and the “turnpike” in optimal unbounded growth models. Journal of Economic Theory, 147(2), 802–832.
]Search in Google Scholar
[
Khan, M. A., & Piazza, A. (2011). An overview of turnpike theory: Towards the discounted deterministic case. In S. Kusuoka & T. Maruyama (Eds.), Advanced in mathematical economics (vol. 14, pp. 39–67). Springer.
]Search in Google Scholar
[
Majumdar, M. (2009). Equilibrium and optimality: Some imprints of David Gale. Games and Economic Behavior, 66(2), 607–626.
]Search in Google Scholar
[
Makarov, V. L., & Rubinov, A. M. (1977). Mathematical theory of economic dynamics and equilibria, Springer-Verlag.
]Search in Google Scholar
[
McKenzie, L. W. (1976). Turnpike theory. Econometrica, 44(5), 841–865.
]Search in Google Scholar
[
McKenzie, L. W. (1998). Turnpikes. American Economic Review, 88(2), 1–14.
]Search in Google Scholar
[
McKenzie, L. W. (2005). Optimal economic growth, turnpike theorems and comparative dynamics. In K. J. Arrow & M. D. Intriligator (Eds.), Handbook of mathematical economics (2nd ed., vol. 3, chapter 26, pp 1281–1355). Elsevier.
]Search in Google Scholar
[
Mitra, T., & Nishimura, K. (Eds.). (2009). Equilibrium, trade and growth. selected papers of L.W. McKenzie. The MIT Press.
]Search in Google Scholar
[
Nikaido, H. (1968). Convex structures and economic theory. Academic Press.
]Search in Google Scholar
[
Panek, E. (2000). Ekonomia matematyczna. Wydawnictwo Akademii Ekonomicznej w Poznaniu.
]Search in Google Scholar
[
Panek, E. (2016). Gospodarka Gale’a z wieloma magistralami. „Słaby” efekt magistrali. Przegląd Statystyczny, 63(4), 355–374.
]Search in Google Scholar
[
Panek, E. (2017). „Słaby” efekt magistrali w niestacjonarnej gospodarce Gale’a z graniczną technologią i wielopasmową magistralą produkcyjną. W: D. Appenzeller (red.), Matematyka i informatyka na usługach ekonomii (pp. 91–110). Wydawnictwo Uniwersytetu Ekonomicznego w Poznaniu.
]Search in Google Scholar
[
Panek, E. (2018). Niestacjonarna gospodarka Gale’a z graniczną technologią i wielopasmową magistralą produkcyjną. „Słaby”, „silny” i „bardzo silny” efekt magistrali. Przegląd Statystyczny, 65(4), 373–393.
]Search in Google Scholar
[
Panek, E. (2019a). O pewnej wersji twierdzenia o wielopasmowej magistrali w niestacjonarnej gospodarce Gale’a, Przegląd Statystyczny, 66(2), 142–156.
]Search in Google Scholar
[
Panek, E. (2019b). Non-stationary Gale economy with limit technology, multilane turnpike and general form of optimality criterion”. Argumenta Oeconomica Cracoviensia, 1(20), 9–22.
]Search in Google Scholar
[
Panek, E. (2019c). Optimal growth processes in non-stationary Gale economy with multilane production turnpike. Economic and Business Review, 2(5), 3–23.
]Search in Google Scholar
[
Panek, E. (2020a). A multilane turnpike in a non-stationary input-output economy with a temporary von Neumann equilibrium. Statistical Review, 67(1), 77–92.
]Search in Google Scholar
[
Panek, E. (2020b). Almost “very strong” multilane turnpike effect in the non-stationary Gale economy with a temporary von Neumann equilibrium and price constraints. Economic and Business Review, 6(2), 66–80.
]Search in Google Scholar
[
Panek, E. (2022). Gale economy with investments and limiting technology. Central European Journal of Economic Modelling and Econometrics, 14(1), 57–80.
]Search in Google Scholar
[
Radner, R. (1961). Path of economic growth that are optimal with regard to final states: A turnpike theorem. Review of Economic Studies, 28(2), 98–104.
]Search in Google Scholar
[
Sakamoto, N., Pighin, D., & Zuazua, E. (2019). The turnpike property in nonlinear optimal control—a geometric approach. Proceedings of 58th IEEE Conference on Decision and Control. https://doi.org/10.1109/CDC40024.2019.9028863
]Search in Google Scholar
[
Takayama, A. (1985). Mathematical economics. Cambridge University Press.
]Search in Google Scholar
[
Zaslavski, A. J. (2015). Turnpike theory of continuous-time linear control problems. Springer-Verlag.
]Search in Google Scholar