Complex dynamics in an OLG model of growth with inherited tastes

Luciano, Fanti and Luca, Gori and Cristiana, Mammana and Elisabetta, Michetti (2016): Complex dynamics in an OLG model of growth with inherited tastes.

Abstract

The aim of this article is to study the local and global dynamics of a general equilibrium closed economy with overlapping generations and inherited tastes (aspirations). It shows that the interaction between the intensity of aspirations and the elasticity of substitution of effective consumption, affects the qualitative and quantitative long-term dynamics of the model. In addition, periodic cycles and complex features emerge. It remarkably extends the literature on endogenous fluctuations showing that: 1) in an OLG model with aspirations there exists a super-critical Neimark-Sacker bifurcation, 2) endogenous fluctuations occur even when the elasticity of substitution of effective consumption is smaller than one, thus reconciling the existence of economic cycles with empirical estimates, and 3) the interaction between aspirations and inter-temporal preferences affects the steady-state equilibrium and dynamic outcomes.

• Item Type: MPRA Paper
• Language: English
• Keywords: Aspirations; Nonlinear dynamics; Overlapping generations; Bifurcations; Business cycles
• Subjects: C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61 - Optimization Techniques ; Programming Models ; Dynamic Analysis; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C62 - Existence and Stability Conditions of Equilibrium; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C68 - Computable General Equilibrium Models; E - Macroeconomics and Monetary Economics > E3 - Prices, Business Fluctuations, and Cycles > E32 - Business Fluctuations ; Cycles; J - Labor and Demographic Economics > J2 - Demand and Supply of Labor > J22 - Time Allocation and Labor Supply; O - Economic Development, Innovation, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity > O41 - One, Two, and Multisector Growth Models

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