Role of Nonlinear Processes in Instability of Dynamical Systems in Economics Applications
We study the influence of an external investment on the stability of equilibrium prices in an economic system which is described by the equations of evolution of prices of goods with regard for the balance of supply and demand, as well as the external investment in the economic system. It is shown that sufficiently high levels of investments lead to the loss of stability of the
N.S. Gonchar, Mathematical Foundations of Information Economics (BITP, Kiev, 2008).
N.S. Gonchar, A.S. Zhokhin, V.G. Kozyrsky, and A.F. Makhort, Probl. Upravl. Inform. 5, 106 (2009).
V. Ginsburgh and M. Keyzer, The Structure of Applied General Equilibrium Models (MIT Press, Cambridge, 2002).
T. Kehoe, Computationand Multiplicity of Equilibria (Fed. Res. Bank, Minneapolis, 1991).
T. Hens, J. Mayer, and B. Pilgrim, Existence of Sunspot Equilibria and Uniqueness of Spot Market Equilibria: The Case if Intrinsically Complete Markets (Univ. of Zurich, Zurich, 2004), Working Paper 188.
E. Accinelli, Estudos de Economia 26, 45 (1999).
N.G. Chetaev, The Stability of Motion (Pergamon, New York, 1961).
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