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Approximate surrogate production functions

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  • Bertram Schefold

Abstract

The Cambridge debate showed that an aggregation of capital is not possible in general. A recent investigation has found one example for reswitching and several for reverse capital deepening, but the paradoxes appear to be infrequent. The paper provides a theoretical justification of this result and shows how wage curves of input–output matrices with small non-dominant eigenvalues become quasi-linear with some numéraires. Large random systems lead to the genesis of such states. Approximate surrogate production functions then seem possible. A family of economic systems with constant capital composition allows construction of a surrogate production function. Copyright , Oxford University Press.

Suggested Citation

  • Bertram Schefold, 2013. "Approximate surrogate production functions," Cambridge Journal of Economics, Oxford University Press, vol. 37(5), pages 1161-1184.
    • Handle: RePEc:oup:cambje:v:37:y:2013:i:5:p:1161-1184
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    File URL: http://hdl.handle.net/10.1093/cje/bes056
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    Cited by:

    1. Mariolis, Theodore, 2019. "The location of the value theories in the complex plane and the degree of regularity-controllability of actual economies," MPRA Paper 96972, University Library of Munich, Germany.
    2. Simon Mohun & Roberto Veneziani, 2017. "Value, Price, And Exploitation: The Logic Of The Transformation Problem," Journal of Economic Surveys, Wiley Blackwell, vol. 31(5), pages 1387-1420, December.
    3. Ferrer-Hernández , Jacobo & Torres-González, Luis Daniel, 2022. "Some Recent Developments on the Explanation of the Empirical Relationship between Prices and Distribution," Centro Sraffa Working Papers CSWP54, Centro di Ricerche e Documentazione "Piero Sraffa".
    4. Tsoulfidis, Lefteris, 2021. "Capital Theory Debates: New Developments and Direction," Centro Sraffa Working Papers CSWP51, Centro di Ricerche e Documentazione "Piero Sraffa".
    5. G. C. Harcourt, 2015. "On the Cambridge, England, Critique of the Marginal Productivity Theory of Distribution," Review of Radical Political Economics, Union for Radical Political Economics, vol. 47(2), pages 243-255, June.
    6. Luis Daniel Torres Gonzalez, 2017. "Regularities in Prices of Production and the Concentration of Compositions of Capitals," Working Papers 1709, New School for Social Research, Department of Economics.
    7. Schefold, Bertram, 2022. "The Rarity of Reswitching Explained," Centro Sraffa Working Papers CSWP58, Centro di Ricerche e Documentazione "Piero Sraffa".
    8. Zambelli, Stefano & Fredholm, Thomas & Venkatachalam, Ragupathy, 2017. "Robust measurement of national technological progress," Structural Change and Economic Dynamics, Elsevier, vol. 42(C), pages 38-55.
    9. Jacobo Ferrer-Hernández & Luis Daniel Torres-González, 2021. "Eigenvalues and Eigenlabors: On Iliadi’s, Mariolis’, Soklis’, and Tsoulfidis’ Explanation of the Empirical Regularities in Price Curves," Working Papers 2119, New School for Social Research, Department of Economics.
    10. Masashi Morioka, 2019. "The transformation problem under positive rank one input matrices: on a new approach by Schefold," Evolutionary and Institutional Economics Review, Springer, vol. 16(2), pages 303-313, December.
    11. Mariolis, Theodore, 2015. "Testing Bienenfeld’s Second-Order Approximation for the Wage-Profit Curve," MPRA Paper 68215, University Library of Munich, Germany.
    12. Theodore Mariolis & Lefteris Tsoulfidis, 2018. "Less Is More: Capital Theory And Almost Irregular-Uncontrollable Actual Economies," Contributions to Political Economy, Oxford University Press, vol. 37(1), pages 65-88.
    13. Kemp-Benedict, Eric, 2014. "The inverted pyramid: A neo-Ricardian view on the economy–environment relationship," Ecological Economics, Elsevier, vol. 107(C), pages 230-241.
    14. Mariolis, Theodore & Tsoulfidis, Lefteris, 2016. "Capital theory: Less is more," MPRA Paper 75923, University Library of Munich, Germany.
    15. Theodore Mariolis, 2015. "Norm Bounds and A Homographic Approximation for the Wage–Profit Curve," Metroeconomica, Wiley Blackwell, vol. 66(2), pages 263-283, May.
    16. Kersting, Götz & Schefold, Bertram, 2021. "Best techniques leave little room for substitution. A new critique of the production function," Structural Change and Economic Dynamics, Elsevier, vol. 58(C), pages 509-533.
    17. Luis Daniel Torres-González, 2020. "The Characteristics of the Productive Structure Behind the Empirical Regularities in Production Prices Curves," Working Papers 2016, New School for Social Research, Department of Economics.
    18. Petri, Fabio, 2021. "What Remains of the Cambridge Critique? On Professor Schefold's Theses," Centro Sraffa Working Papers CSWP50, Centro di Ricerche e Documentazione "Piero Sraffa".
    19. Bertram Schefold, 2021. "The transformation of values into prices on the basis of random systems revisited: reply to my commentators," Evolutionary and Institutional Economics Review, Springer, vol. 18(1), pages 317-334, April.
    20. Schefold, Bertram, 2021. "Sraffa’s ‘Reduction’ of the prices of basics," Structural Change and Economic Dynamics, Elsevier, vol. 59(C), pages 575-581.
    21. Anwar Shaikh & Luiza Nassif, 2018. "Eigenvalue distribution, matrix size and the linearity of wage-profit curves," Working Papers 1812, New School for Social Research, Department of Economics.
    22. Torres-González, Luis Daniel, 2022. "The Characteristics of the Productive Structure Behind the Empirical Regularities in Production Prices Curves," Structural Change and Economic Dynamics, Elsevier, vol. 62(C), pages 622-659.
    23. Theodore Mariolis, 2015. "Testing Bienenfeld’s Second-Order Approximation for the Wage-Profit Curve," Bulletin of Political Economy, Bulletin of Political Economy, vol. 9(2), pages 161-170, December.
    24. Luis Daniel Torres-Gonzalez & Jacobo Ferrer-Hernandez & Adrian Martınez, 2022. "On the Long-Run Neutrality of Profits-Wages Ratios in the Determination of International Relative Prices Under Absolute Advantages," Working Papers 2208, New School for Social Research, Department of Economics.
    25. Bertram Schefold, 2019. "The transformation of values into prices on the basis of random systems revisited," Evolutionary and Institutional Economics Review, Springer, vol. 16(2), pages 261-302, December.

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