On the theory of firm in nonlinear dynamic financial and economic systems
The new business paradigms originate a strong necessity to re-think the theory of the firm with the aim to get a better understanding on the organizational and functional principles of the firm, operating in the investment economies in the prosperous societies. In this connection, we make the innovative research to advance our scientific knowledge on the theory of firm in the conditions of the nonlinear dynamic financial and economic systems. We propose that the nonlinearities have to be taken to the consideration and the nonlinear differential equation have to be used to model the firm in the modern theories of the firm in the nonlinear dynamic financial and economic systems. We apply the econophysical approach with the dynamic regimes modeling on the bifurcation diagram as in the dynamic chaos theory with the purpose to accurately characterize the nonlinearities in the economic theory of the firm. We introduce the Ledenyov firm stability theorem, based on the Lyapunov stability criteria, to precisely characterize the stability of the firm in the nonlinear dynamic financial and economic systems in the time of globalization.
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- Dimitri O. Ledenyov & Viktor O. Ledenyov, 2012. "On the Risk Management with Application of Econophysics Analysis in Central Banks and Financial Institutions," Papers 1211.4108, arXiv.org.
- Dimitri O. Ledenyov & Viktor O. Ledenyov, 2013. "On the optimal allocation of assets in investment portfolio with application of modern portfolio and nonlinear dynamic chaos theories in investment, commercial and central banks," Papers 1301.4881, arXiv.org, revised Feb 2013.
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- Viktor O. Ledenyov & Dimitri O. Ledenyov, 2012. "Shaping the international financial system in century of globalization," Papers 1206.2022, arXiv.org.
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