Linearized geometric dynamics of Tobin-Benhabib-Miyao economic flow
نویسندگان
چکیده
The aim of this paper is to study the influence of the Euclidean-Lagrangian structure of the state space on the generalized Tobin flow in economics, confirming the existence of optimal economic fluctuations (small oscillations). Section 1 reviews the generalized Tobin economic flow as formulated by Benhabib and Miyao. Section 2 recalls some tools of single-time geometric dynamics which describe a geodesic motion under a gyroscopic field of forces. Section 3 studies the linearized geometric dynamics produced by the Tobin-BenhabibMiyao flow and by the Euclidean-Lagrangian structure of the economic state space. In this way we estimate the time economic evolution for spotlighting the expectations of the agents. Mathematics Subject Classification: 91B62, 91B66, 37J20.
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