Screen LibraryDifferential models and neutral systems for controlling the wealth of nations /
"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...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
World Scientific Pub. Co.,
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| Publisher Address: | Singapore ; River Edge, N.J. : |
| Publication Dates: | 2001. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Series on advances in mathematics for applied sciences ; v. 54 |
| Subjects: | |
| Online Access: |
http://www.worldscientific.com/worldscibooks/10.1142/4490#t=toc |
| Summary: |
"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." |
| Carrier Form: | 1 online resource (xv,513pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9789812791863 |
| CLC: | F224.0 |
| Contents: |
Introduction -- 0. Continuous delay models: motivation -- References -- 1. Economic dynamic model -- 2. Main results -- 3. Economic interpretation and fundamental economic principles -- 4. Economic hereditary model of Canada -- 5. Soft landing of key economic indicators with private and government controls under scarcity -- 6. Economic systems with delay in control -- 7. The nonlinear theory of controllability of volterra neutral integrodifferential dynamics -- 8. Economic models of U.S.A., Canada, U.K., Germany, and India References -- 9. Model programs and graphs -- 10. Optimal control of volterra integral neutral equations and of linear neutral equations 10.1. Introduction. 10.2. Proof of minimum-effort theorems. 10.3. Optimal absolute fuel function. References. 11. Nonlinear neutral systems. 11.1. Introduction. 11.2. Existence, uniqueness, and continuity of solutions of neutral systems. 11.3. Existence of optimal controls of neutral systems. 11.4. Optimal control of neutral systems in functionspace. References -- 12. Controllable nonlinear neutral systems. 12.1. Introduction. 12.2. General nonlinear systems. 12.3. Nonlinear interconnected systems. References -- 13. Function space control of nonlinear interconnected economic systems of neutral type. 13.1. Introduction. 13.2. Preliminaries. 13.3. Main results. References -- 14. Nonlinear mathematical controllability theory of the growth of wealth of nations. 14.1. Introduction14.2. The main results. References -- 15. Oscillation. 15.1. Introduction. 15.2. Basic results. 15.3. Economic model. 15.4. Employment. 15.5. Policy implications of damping out employment oscillation. References -- 16. Construction of econometric meter and reform of global economic systems structure. 16.1. Design of an econometric meter or econometric simulator. 16.2. Salamon's circuit. 16.3. Simulation of a nonlinear economic state of gross domestic product and interest rate. 16.4. Delay systems. 16.5. Tunnel diode circuit with delay: analogue, econometric meter with delay. 16.6. Perspective. References -- 17. Appendix. |