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Stochastic Interpretation of the Cornfield-Leontief Multiplier Process

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In part 1 we remember the standard Leontief setup and discuss the economic meaning of the Cornfield-Leontief backward equation. The production network, when considering sequences of product transformations through the economic sectors, is understood as a whirlpool. Part 2 remembers the Monte Carlo solution of input output models and is focused principally on the stochastics of trajectory-length, since trajectories of the underlying Markov process play the role of the product path. Part 3 exemplifies some results of part 2 using input-output-tables of Germany.


  • Final Demand
  • Complete Trajectory
  • Stochastic Interpretation
  • Monte Carlo Solution
  • Leontief Model

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  • DORFMAN, R., SAMUELSON, P. A. and Solow, R. M. (1958), Linear Programming and Economic Analysis, McGraw-Hill, New York etc.

    Google Scholar 

  • EGLE, K. and FENYI, S. (1987a), “Losung des DIW Input-Output-Systems durch stochastische Inversion,” Discussion Paper Nr. 331, Institut fur Wirtschaftstheorie und Operations Research, Universitat Karlsruhe.

    Google Scholar 

  • EGLE, K. and FENYI, S. (1987b), “Stochastische Inversion von Leontief-Matrizen,” in: Opitz, O. and Rauhut, B. (Hrsg.), Ökonomie und Mathematik, Springer, Berlin etc.

    Google Scholar 

  • EGLE, K. and FENYI, S. (1988), “Stochastische Lösung des dynamischen und statischen Input-Output-Modells,” in: Janko, W. (Hrsg.), Statistik und Ökonomie, Springer, Berlin etc.

    Google Scholar 

  • EGLE, K. and FENYI, S. (1991), “Eigenvalue Estimations in input-output and growth models by Monte Carlo techniques,” Discussion Paper Nr. 406, Institut für Wirtschaftstheorie und Operations Research, Universität Karlsruhe.

    Google Scholar 

  • NIKAIDO, H. (1968), Convex Structures and Economic Theory, Academic Press, New York, San Francisco, London.

    Google Scholar 

  • NIKAIDO, H. (1972), Introduction to Sets and Mappiags in Modern Economics, North-Holland, Amsterdam.

    Google Scholar 

  • SCHUMANN, J. (1968), Input-Output-Analyse, Springer, Berlin etc.

    Google Scholar 

  • STAGLIN, R. (1985), Input/Output-Struktur fur die Wirtschaft der Bundesrepublik Deutschland, Input/Output-Wandtafel 1980, herausgegeben vom Spektrum der Wissenschaft, Heidelberg, in Zusammenarbeit mit dem DIW, Berlin, April 1985.

    Google Scholar 

  • TAKAYAMA, A. (1974), Mathematical Economics, The Dry den Press, Hinsdale, Illinois.

    Google Scholar 

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© 1993 Springer-Verlag Berlin · Heidelberg

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Egle, K., Fenyi, S. (1993). Stochastic Interpretation of the Cornfield-Leontief Multiplier Process. In: Diewert, W.E., Spremann, K., Stehling, F. (eds) Mathematical Modelling in Economics. Springer, Berlin, Heidelberg.

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  • Print ISBN: 978-3-642-78510-8

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