A Mathematical Treatment of Economic Cooperation and Competition Among Nations, with Nigeria, USA, UK, China, and the Middle East Examples, Volume 203

1st Edition

Authors: Ethelbert Chukwu
Hardcover ISBN: 9780444518590
eBook ISBN: 9780080459523
Imprint: Elsevier Science
Published Date: 30th September 2005
Page Count: 358
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Table of Contents



Chapter 1 - Cooperation and Competition.
Chapter 2 - Simple Cooperative and Competitive Systems.
Chapter 3 - The Full Ordinary Economic State.
Chapter 4 - Theoretical Analysis of the Game Model.
Chapter 5 - Diffusion of Wealth.
Chapter 6 - Wealth Diffusion and Control.
Chapter 7 - The Mid-East.
Chapter 8 - Electric Circuit and Wealth Simulation: An International Perspective.
Chapter 9 - Perspective.
Chapter 10 - The Moral Basis of Sustained Economic Growth: The Triumph Of Cooperation.

Table of Contents of CD Accompanying the Book.


The book presents a careful mathematical study of Economic Cooperation and Competition among Nations. It appropriates the principles of Supply and Demand and of Rational Expectations to build the dynamic model of the Gross Domestic Products of two groups of nations which are linked up together.

The first group consists of Nigeria, the US, the UK and China. The second group is made up of Egypt, the US, Jordan and Israel. The link connecting the four nations of each group is mirrored in the net export function which is broadened to include trade, debts and the inflow or the outflow of wealth from the competing and cooperating nations. This realistic models of the four interacting GDP's, a hereditary differential game of pursuit are validated with historical data from International Financial Statistic Year Book. The Mathematical model is then studied for controllability: from a current initial GDPs a better state can be attained using government and private strategies which are carefully identified. We use regression and differential equation methods to test whether the four countries are competing or cooperating. The consequences of competition or cooperation are explored. Cooperation can be realized and the growth of wealth assured because the system is controllable and we can increase the growth of GDP and then increase the coefficient of cooperation. The outcome may be unbounded growth of wealth for all concerned – the triumph of cooperation. With analogous simple examples the book shows that sufficiently cooperating systems grow unbounded and competing ones are either bounded at best, or become extinct in finite time. If competition is small, i.e., limited, or regulated the GDP's need not be extinct even after a long time. This results are in contrast with popular opinion which advocate competition over cooperation. The detailed policy implication of the cooperation analysis at one time or the other were advocated by Po

Key Features

  • Study of Cooperation and Competition among Nations with real life examples from the World Bank, the IMF data of Nigeria, the US; the UK, China, Egypt, Jordan and Israel.
  • Complete MATLAB or MAPLE program with data output and graphs, and possible realistic prediction of economic growth.
  • Including a comprehensive CD presenting each program in an easy and accessible way.
  • Realistic Model - comparison of real data and diagram of output. Duplicatable results.
  • With the CD and IMF data and generic programs, other groups of nations' economies can be studied as well as the economy of all UN members as a group.


Colleges, Universities, Economic planning divisions of governments, UN, World Bank, IMF and policy makers


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© Elsevier Science 2005
Elsevier Science
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"Finally, the book may help to interest mathematicians, numerical analysts and may be useful to Business Managers. It is an excellent well written book." -ZENTRALBLATT MATH

About the Authors

Ethelbert Chukwu Author

Affiliations and Expertise

North Carolina State University, Raleigh, USA