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“Very strong” turnpike effect in a non-stationary Gale economy with investments, multilane turnpike and limit technology Cover

“Very strong” turnpike effect in a non-stationary Gale economy with investments, multilane turnpike and limit technology

By: Emil Panek  
Open Access
|Jan 2024

References

  1. Babaei, E. (2020). Von Neumann-Gale dynamical systems with applications in economics and finance. University of Manchester.
  2. 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.
  3. 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.
  4. Dai, D., & Shen, K. (2013). A turnpike theorem involving a modified Golden Rule. Theoretical and Applied Economics, 20(11), 25–40.
  5. Giorgi, G., & Zuccotti, C. (2016). Equilibrium and optimality in Gale-von Neumann Models. DEM Working Papers, 118. University of Pavia.
  6. 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.
  7. Jensen, M. K. (2012). Global stability and the “turnpike” in optimal unbounded growth models. Journal of Economic Theory, 147(2), 802–832.
  8. 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.
  9. Majumdar, M. (2009). Equilibrium and optimality: Some imprints of David Gale. Games and Economic Behavior, 66(2), 607–626.
  10. Makarov, V. L., & Rubinov, A. M. (1977). Mathematical theory of economic dynamics and equilibria, Springer-Verlag.
  11. McKenzie, L. W. (1976). Turnpike theory. Econometrica, 44(5), 841–865.
  12. McKenzie, L. W. (1998). Turnpikes. American Economic Review, 88(2), 1–14.
  13. 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.
  14. Mitra, T., & Nishimura, K. (Eds.). (2009). Equilibrium, trade and growth. selected papers of L.W. McKenzie. The MIT Press.
  15. Nikaido, H. (1968). Convex structures and economic theory. Academic Press.
  16. Panek, E. (2000). Ekonomia matematyczna. Wydawnictwo Akademii Ekonomicznej w Poznaniu.
  17. Panek, E. (2016). Gospodarka Gale’a z wieloma magistralami. „Słaby” efekt magistrali. Przegląd Statystyczny, 63(4), 355–374.
  18. 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.
  19. 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.
  20. Panek, E. (2019a). O pewnej wersji twierdzenia o wielopasmowej magistrali w niestacjonarnej gospodarce Gale’a, Przegląd Statystyczny, 66(2), 142–156.
  21. 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.
  22. Panek, E. (2019c). Optimal growth processes in non-stationary Gale economy with multilane production turnpike. Economic and Business Review, 2(5), 3–23.
  23. 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.
  24. 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.
  25. Panek, E. (2022). Gale economy with investments and limiting technology. Central European Journal of Economic Modelling and Econometrics, 14(1), 57–80.
  26. 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.
  27. 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
  28. Takayama, A. (1985). Mathematical economics. Cambridge University Press.
  29. Zaslavski, A. J. (2015). Turnpike theory of continuous-time linear control problems. Springer-Verlag.
DOI: https://doi.org/10.18559/ebr.2023.4.891 | Journal eISSN: 2450-0097 | Journal ISSN: 2392-1641
Language: English
Page range: 5 - 24
Submitted on: Sep 10, 2023
Accepted on: Dec 12, 2023
Published on: Jan 26, 2024
Published by: Poznań University of Economics and Business Press
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2024 Emil Panek, published by Poznań University of Economics and Business Press
This work is licensed under the Creative Commons Attribution 4.0 License.