In this paper, we show how a rich variety of dynamics may arise in a simple multiplier–accelerator model when a nonlinearity is introduced in the investment function. A specific sigmoidal functional form is used to model investments with respect to the variation in national income, in order to bound the level of investments. In fact, due to obvious material constraints, business strategies cannot sustain infinite investments. With the aid of analytical and numerical tools, we investigate the stability conditions, bifurcations, as well as periodic and chaotic dynamics for different specifications of the model that may include or not an endogenous government expenditure. We obtain some comparative statics results that shed light on the stabilizing or destabilizing role of the various parameters in the model. Globally, we study multistability phenomena, i.e., the coexistence of different kinds of attractors with a rich and complex dynamic structure.

Naimzada, A., Pecora, N. (2017). Dynamics of a multiplier–accelerator model with nonlinear investment function. NONLINEAR DYNAMICS, 88(2), 1147-1161 [10.1007/s11071-016-3301-4].

Dynamics of a multiplier–accelerator model with nonlinear investment function

NAIMZADA, AHMAD KABIR;
2017

Abstract

In this paper, we show how a rich variety of dynamics may arise in a simple multiplier–accelerator model when a nonlinearity is introduced in the investment function. A specific sigmoidal functional form is used to model investments with respect to the variation in national income, in order to bound the level of investments. In fact, due to obvious material constraints, business strategies cannot sustain infinite investments. With the aid of analytical and numerical tools, we investigate the stability conditions, bifurcations, as well as periodic and chaotic dynamics for different specifications of the model that may include or not an endogenous government expenditure. We obtain some comparative statics results that shed light on the stabilizing or destabilizing role of the various parameters in the model. Globally, we study multistability phenomena, i.e., the coexistence of different kinds of attractors with a rich and complex dynamic structure.
Articolo in rivista - Articolo scientifico
Nonlinear dynamics, Stability, Bifurcations, Global analysis, Business cycle
English
1147
1161
15
Naimzada, A., Pecora, N. (2017). Dynamics of a multiplier–accelerator model with nonlinear investment function. NONLINEAR DYNAMICS, 88(2), 1147-1161 [10.1007/s11071-016-3301-4].
Naimzada, A; Pecora, N
File in questo prodotto:
File Dimensione Formato  
Naimzada_Pecora Dynamics of a MultiplierAccelerator.pdf

Solo gestori archivio

Tipologia di allegato: Publisher’s Version (Version of Record, VoR)
Dimensione 2.08 MB
Formato Adobe PDF
2.08 MB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/139661
Citazioni
  • Scopus 8
  • ???jsp.display-item.citation.isi??? 10
Social impact