Series on Advances in Mathematics for Applied Sciences - Vol. 54
DIFFERENTIAL MODELS AND NEUTRAL SYSTEMS FOR CONTROLLING THE WEALTH OF NATIONS
by E N Chukwu (North Caroline State University, USA)
This monograph derives from familiar economic principles the dynamics of national income, the interest rate, employment, the value of capital stock, prices, and the cumulative balance of payments. This is a Volterra neutral integrodifferential game of pursuit. The quarry control is government intervention in the form of taxation, control of money supply, tariffs, foreign credit, interest equalization tax, preferential trade agreements (which reduce trade barriers and enhance trade flows between nations), transportation and distance between trading partners. The pursuer controls include wages and productivity. The book provides conditions for controllability and then deduces how big government intervention (compared with private firms' contributions) should be to ensure the possibility of growth.
The reader is assumed to be familiar with advanced calculus and to have a working knowledge of ordinary differential equations. The required theory of hereditary systems can be obtained from the book itself.
Contents:
- Continuous Delay Models: Motivation
- Economic Dynamic Model
- Main
Results
- Economic Interpretation and Fundamental Economic Principles
- Economic Hereditary Models of Canada
- Soft Landing of Key Economic Indicators with Private and Government Controls Under Scarcity
- Economic Systems with Delay in Control
- The Nonlinear Theory of Controllability of Volterra Neutral Integrodifferential Dynamics
- Economic Models of USA, Canada, UK, Germany, and India
- Model Programs and Graphs
- Optimal Control of Volterra Integral Neutral Equations and of Linear Neutral Equations
- Nonlinear Neutral Systems
- Controllable Nonlinear Neutral Systems
- Function Space Control of Nonlinear Interconnected Economic Systems of Neutral Type
- Nonlinear Mathematical Controllability Theory of the Growth of Wealth of Nations
- Oscillation
- Construction of Econometric Meter and Reform of Global Economic Systems Structure
Readership: Senior undergraduates and graduate students in applied
mathematics, control theory, mathematical economics and engineering.
"Excellent reference lists are provided. It is a book worthwhile reading for all researchers interested in this budding approach to economic analysis."
| 536pp |
Pub. date: Jan 2001 |
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