Multiple equilibria in a discrete time growth model with corruption in public procurement

Multiple equilibria in a discrete time growth model with corruption in public procurement We study the relationship between corruption in public procurement and economic growth within the Solow framework in discrete time, while assuming that the public good is an input in the productive process and that the State fixes a monitoring level on corruption depending on the tax revenues. The resulting model is a two-dimensional, continuous and piecewise smooth dynamic system which describes the evolution of the capital per capita and that of the corruption level. We prove that the model admits multiple equilibria: their stability and the structure of their basins is studied. We also present numerical simulations for economic meaningful parameter values, useful to explain the role of parameters in the long–run path of the model. Our study aims at demonstrating that stable equilibria with positive corruption may exist (according to empirical evidence), even though the State may reduce corruption by increasing the wage of the bureaucrat or by increasing the amount of tax revenues used to monitor corruption. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quality & Quantity Springer Journals

Multiple equilibria in a discrete time growth model with corruption in public procurement

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Publisher
Springer Journals
Copyright
Copyright © 2014 by Springer Science+Business Media Dordrecht
Subject
Social Sciences, general; Methodology of the Social Sciences; Social Sciences, general
ISSN
0033-5177
eISSN
1573-7845
D.O.I.
10.1007/s11135-014-0119-3
Publisher site
See Article on Publisher Site

Abstract

We study the relationship between corruption in public procurement and economic growth within the Solow framework in discrete time, while assuming that the public good is an input in the productive process and that the State fixes a monitoring level on corruption depending on the tax revenues. The resulting model is a two-dimensional, continuous and piecewise smooth dynamic system which describes the evolution of the capital per capita and that of the corruption level. We prove that the model admits multiple equilibria: their stability and the structure of their basins is studied. We also present numerical simulations for economic meaningful parameter values, useful to explain the role of parameters in the long–run path of the model. Our study aims at demonstrating that stable equilibria with positive corruption may exist (according to empirical evidence), even though the State may reduce corruption by increasing the wage of the bureaucrat or by increasing the amount of tax revenues used to monitor corruption.

Journal

Quality & QuantitySpringer Journals

Published: Oct 28, 2014

References

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