Journal of Mathematics and Statistics

Application of Theories of Complexity and Chaos to Economic Misgovernance

Partha Gangopadhyay, Nasser Elkanj and Mustafa A. Rahman

DOI : 10.3844/jmssp.2011.239.248

Journal of Mathematics and Statistics

Volume 7, 2011

Pages 239-248

Abstract

Problem statement: In this study we develop a comprehensive model involving local taxes, intergovernmental transfers and bureaucratic corruption to characterize a fiscal equilibrium in order to explain the provision of local (public) expenditure in developing nations. The main goal of the research is to explain economic misgovernance as an equilibrium phenomenon, which is therefore expected to persist over time despite serious economic and social costs. Approach: We develop an interactive model of fiscal gaming to understand economic misgovernance in the context of game theory. Resutls: It is constructively argued that the proposed fiscal game is beset with multiple equilibria and the consequent indeterminacy. The possibility of unstable equilibria, or an absence of pure-strategy equilibrium renders the system highly fragile. We also demonstrate the possibility of serious bifurcations of a stable fiscal equilibrium that loses stability with changes in values of relevant parameters. We extend this model further to argue how the chaotic behavior and complexities can characterize the dynamics of decision-making in this present context. Conclusion: The emergence of chaos can undermine the efficiency and predictability of the equilibrium of the proposed fiscal game, which can in turn seriously impinge on the quality of local goods in developing nations. We argue that an understanding of the fragility and complexity of local government system is essential for policy makers for achieving a sustainable local government system in developing nations.

Copyright

© 2011 Partha Gangopadhyay, Nasser Elkanj and Mustafa A. Rahman. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.