Generalised Diagonal Coordinates in Dynamical Analysis, and Capital and Distribution Theory

  • Lionello F. Punzo


Thus general equilibrium theory was fully stated by Walras but remained an empty box until the work of von Neumann and Leontief. (Goodwin, 1970, p. ix)


Normal Form Input Matrix Output Matrix Joint Production Accounting Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. BERMAN, A. and R. J. PLEMMONS (1979) Nonnegative Matrices in the Mathematical Sciences (New York: Academic Press).Google Scholar
  2. GANTMACHER, F. R. (1960) The Theory of Matrices, vol. II (New York: Chelsea).Google Scholar
  3. GOODWIN, R. M. (1947) ‘Dynamical Coupling with Especial Reference to Markets Having Production Lags’, Econometrica, reprinted in Goodwin (1982).Google Scholar
  4. GOODWIN, R. M. (1949) ‘The Multiplier as Matrix’, Economic Journal, reprinted in Goodwin (1983).Google Scholar
  5. GOODWIN, R. M. (1950) ‘Does the Matrix Multiplier Oscillate?’, Economic Journal, reprinted in Goodwin (1983).Google Scholar
  6. GOODWIN, R. M. (1953) ‘Static and Dynamic Linear General Equilibrium Models’, in The Netherlands Economic Institute (eds), Input and Output Relations (Leiden: H. E. Stenfert Kroese N. V.); reprinted in Goodwin (1983).Google Scholar
  7. GOODWIN, R. M. (1970) Elementary Economics from the Higher Standpoint (Cambridge: Cambridge University Press).Google Scholar
  8. GOODWIN, R. M. (1974) ‘La teoria economica lineare nell’analisi dinamica della produzione, del valore e della distribuzione’, in Annali della Fondazione Luigi Einaudi, Torino, vol. III.Google Scholar
  9. GOODWIN, R. M. (1976) ‘Use of Normalised General Coordinates in Linear Value and Distribution Theory’, in Polenske and Skolka (eds), Advances in Input-Output Analysis, Proceedings of the 6th International Conference held in Vienna.Google Scholar
  10. GOODWIN, R. M. (1977) ‘Capital Theory in Orthogonal General Coordinates’, Wicksell Symposium, Frostavallen, Sweden; printed in Goodwin (1983).Google Scholar
  11. GOODWIN, R. M. (1980) ‘The World Trade Multiplier’, Journal of Post Keynesian Economics; reprinted in Goodwin (1983).Google Scholar
  12. GOODWIN, R. M. (1982) Essays in Economic Dynamics (London: Macmillan).Google Scholar
  13. GOODWIN, R. M. (1983) Essays in Linear Economic Structures (London: Macmillan).Google Scholar
  14. GOODWIN, R. M. (1986) ‘Swinging Along the Autostrada’, in W. Semmler (ed.), Competition, Instability and Nonlinear Cycles (Berlin, New York: Springer Verlag).Google Scholar
  15. GOODWIN, R. M. and L. F. PUNZO (1987) The Dynamics of a Capitalist Economy. A Multisectoral Approach (Cambridge: Polity Press).Google Scholar
  16. HICKS, J. (1965) Capital and Growth (Oxford: Oxford University Press).Google Scholar
  17. HIRSCH, M. W. and S. SMALE (1974) Differential Equations, Dynamical Systems, and Linear Algebra (New York: Academic Press).Google Scholar
  18. KEMENY, J. G., O. MORGENSTERN and G. L. THOMPSON (1956) ‘A Generalization of von Neumann Model of an Expanding Economy’, Econometrica.Google Scholar
  19. MANGASARIAN, O. (1971) ‘The Generalized Perron-Frobenius Theorem’, Journal of Mathematical Analysis and Applications.Google Scholar
  20. MORGENSTERN, O. and G. L. THOMPSON (1971) ‘Von Neumann Systems are Eigensystems’, in G. Brückmann and W. Weber (eds), Contributions to the von Neumann Growth Model, Zeitschrift für Nationalökonomie, Supplementum 1 (New York: Springer Verlag).Google Scholar
  21. MORGENSTERN, O. and G. L. THOMPSON (1976) Mathematical Theory of Expanding and Contracting Economies (Lexington, Mass.: Heath Lexington Books).Google Scholar
  22. MORISHIMA, M. (1969) Theory of Economic Growth (Oxford: Clarendon Press).CrossRefGoogle Scholar
  23. MORISHIMA, M. (1971) ‘Consumption-Investment Frontier, Wage-Profit Frontier and the Von Neumann Equilibrium’, in G. Brückmann and W. Weber (eds), Contributions to the von Neumann Growth Model, Zeitschrift für Nationalökonomie, Supplementum 1 (New York: Springer Verlag).Google Scholar
  24. PUNZO, L. F. (1980) ‘Economic Applications of a Generalized Perron-Frobenius Problem’, Economic Notes.Google Scholar
  25. PUNZO, L. F. (1989) ‘Von Neumann and K. Menger’s Mathematical Colloquium’, in S. Chakravarthy, M. Dore and R. M. Goodwin (eds), John von Neumann and Modern Economics (Oxford: Oxford University Press), forthcoming.Google Scholar
  26. PUNZO, L. F. and K. VELUPILLAI (1984) ‘Multisectoral Models and Joint Production’, in F. van der Ploeg (ed.), Mathematical Methods in Economics (New York: J. Wiley and Sons).Google Scholar
  27. VON NEUMANN, J. (1938) ‘Über ein ökonomisches Gleichungssystem und eine Verallgemeinerung des Brouwerischen Fixpuntksatzes’, Ergebnisse Math. Kolloquiums’, English translation as ‘A Model of General Economic Equilibrium’, Review of Economic Studies (1945–6).Google Scholar

Copyright information

© Kumaraswamy Velupillai 1990

Authors and Affiliations

  • Lionello F. Punzo

There are no affiliations available

Personalised recommendations