Bifurcation Analysis of Zellner's Marshallain Macroeconomic Model

Banerjee, Sanjibani; Barnett, William A.; Duzhak, Evgeniya A. and Gopalan, Ramu (2011): Bifurcation Analysis of Zellner's Marshallain Macroeconomic Model. Unpublished.

Abstract

The Marshallian Macroeconomic Model in Zellner and Israilevich (2005) provides a novel way to examine sectoral dynamics through the introduction of a dynamic entry/exit equation in addition to the usual demand and supply functions found in models of this class. In this paper we examine the possibility of cyclical behavior in the Marshallian Macroeconomic Model and investigate the existence of a Hopf bifurcation with respect to the parameter in the entry/exit equation.

• Item Type: MPRA Paper
• Language: English
• Keywords: Marshallian Macroeconomic Model; Dynamic Entry/Exit; Hopf Bifurcation; Limit Cycles
• Subjects: L - Industrial Organization > L1 - Market Structure, Firm Strategy, and Market Performance > L16 - Industrial Organization and Macroeconomics: Industrial Structure and Structural Change; Industrial Price Indices; E - Macroeconomics and Monetary Economics > E3 - Prices, Business Fluctuations, and Cycles > E32 - Business Fluctuations; Cycles; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods and Programming > C61 - Optimization Techniques; Programming Models; Dynamic Analysis; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods and Programming > C62 - Existence and Stability Conditions of Equilibrium

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