Uniqueness in Planar Endogenous Business Cycle Theories

Venkatachalam, Ragupathy and Kao, Ying-Fang. 2021. Uniqueness in Planar Endogenous Business Cycle Theories. In: Kumaraswamy Velupillai, ed. Keynesian, Sraffian, Computable and Dynamic Economics: Theoretical and Simulational (Numerical) Approaches. Basingstoke: Palgrave Macmillan, pp. 273-310. ISBN 9783030581305 [Book Section]

[img]
Preview
Text
Uniqueness_Decidability_Kao_Venkatachalam.pdf - Accepted Version
Available under License Creative Commons Attribution Non-commercial.

Download (335kB) | Preview

Abstract or Description

We examine some uniqueness theorems concerning the attractors (limit cycles) of dynamic planar models of non-linear, endogenous theories of business cycle. We confine our attention to the pioneering models of Goodwin, Kaldor, Hicks and their variations. For Goodwin’s non-linear multiplier-accelerator model with a single non- linearity, we provide sufficient conditions for establishing uniqueness of the limit cycle based on a theorem by de Figueiredo. We also discuss issues concerning the algorithmic decidability of the number of attractors for these models within the framework of computable analysis.

Item Type:

Book Section

Departments, Centres and Research Units:

Institute of Management Studies
Institute of Management Studies > Structural Economic Analysis

Dates:

DateEvent
10 November 2020Accepted
6 March 2021Published

Item ID:

29437

Date Deposited:

12 Nov 2020 10:36

Last Modified:

26 Feb 2024 13:20

URI:

https://research.gold.ac.uk/id/eprint/29437

View statistics for this item...

Edit Record Edit Record (login required)