The New Palgrave Dictionary of Economics

2018 Edition
| Editors: Macmillan Publishers Ltd

Matrix Multiplier

  • J. R. N. Stone
Reference work entry


The matrix multiplier is a generalization of Kahn’s scalar multiplier. The term was introduced by Goodwin (1949), though similar work was done independently by Chipman (1949, 1950a, 1951).

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  1. Chipman, J.S. 1949. The generalized bi-system multiplier. Canadian Journal of Economics and Political Science 15: 176–189.CrossRefGoogle Scholar
  2. Chipman, J.S. 1950a. The multi-sector multiplier. Econometrica 18: 355–374.Google Scholar
  3. Chipman, J.S. 1950b. Professor Goodwin’s matrix multiplier. Economic Journal 60: 753–763.Google Scholar
  4. Chipman, J.S. 1951. The theory of inter-sectoral money flows and income formation. Baltimore: Johns Hopkins Press.Google Scholar
  5. Goodwin, R.M. 1949. The multiplier as matrix. Economic Journal 59: 537–555.CrossRefGoogle Scholar
  6. Goodwin, R.M. 1950. Does the matrix multiplier oscillate? Economic Journal 60: 764–770.CrossRefGoogle Scholar
  7. Pyatt, G., and J.I. Round. 1979. Accounting and fixed price multipliers in a social accounting matrix framework. Economic Journal 89: 850–873.CrossRefGoogle Scholar
  8. Pyatt, G., Roe, A.R., and associates. 1977. Social accounting for development planning with special reference to Sri Lanka. Cambridge: Cambridge University Press.Google Scholar
  9. Round, J.I. 1984. Decomposing multipliers for economic systems involving regional and world trade. Economic Journal 95: 383–399.CrossRefGoogle Scholar

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© Macmillan Publishers Ltd. 2018

Authors and Affiliations

  • J. R. N. Stone
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