Volume 25 Issue 2
Feb.  1999
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Bai Manying, Ren Ruoen. Study on the Existence and Uniqueness of G-K System in Multilateral International Comparison[J]. Journal of Beijing University of Aeronautics and Astronautics, 1999, 25(2): 216-220. (in Chinese)
Citation: Bai Manying, Ren Ruoen. Study on the Existence and Uniqueness of G-K System in Multilateral International Comparison[J]. Journal of Beijing University of Aeronautics and Astronautics, 1999, 25(2): 216-220. (in Chinese)

Study on the Existence and Uniqueness of G-K System in Multilateral International Comparison

  • Received Date: 27 Oct 1997
  • Publish Date: 28 Feb 1999
  • In studying international comparison problem, the famous G-K systemic technique is always used by economic experts. However, whether this method has the unique positive solution or not is the problem economists have been debating at all times.This problem is discussed far and wide in this paper which is based on other research works, and six equivalent conditions are obtained of which the G-K systemic technique has the unique positive solution in the purchasing power parity multilateral international comparison.This paper also points that the conclusion about this problem is mistaken in prasada's literature. In addition, this paper discusses the self-building problem of the unique positive solution of G-K system, and presents corresponding economic explanations.

     

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  • 1. Geary R C. A note on comparisons of exchange rates and purchasing power between countries. Journal of the Royal Statistical Society, 1958, 121 (1):97~99 2. Khamis S H. Properties and conditions for the existence of a new type of index number. Sankhya(Series B), 1970, 32(1-2):81~98 3. Khamis S H. A new system of index numbers for national and international purposes. Journal of the Royal Statistical Society, 1972, 135(1):96~121 4. Khamis S H. On aggregation methods for international comparisons. Review of Income and Wealth, 1984, 30:185~205 5. Dikhanov Y. Sensitivity of ppp-based income estimates to choice of aggregation procedures. New York:the World Bank,1994 6. Hill P. Multilateral measurements of purchasing power and real GDP. Luxemburg:Eurostat,1982 7. Prasada R D S. On the existence and uniqueness of a new class of index numbers. Sankhya(Series B), 1971, 33(3-4):341~354 8. Berman A,Pelmmons R J. Nonnegative matrices in the mathematical sciences. New York:Academic Press, 1979 9. Minc H.非负矩阵.杨尚骏, 卢业广, 杜吉佩译.沈阳:辽宁出版社, 1991
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