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Eigenvalue distribution and the production price-profit rate relationship in linear single-product systems: theory and empirical evidence

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  • Mariolis, Theodore
  • Tsoulfidis, Lefteris

Abstract

A typical finding in many empirical studies is that the production price-profit rate relationship is, by and large, monotonic. This paper derives, in terms of the usual single-product model, the spectral conditions that make possible the appearance of such monotonicity. Furthermore, using data from input-output tables for a number of countries and years, it examines the extent to which actual economies fulfil those spectral conditions.

Suggested Citation

  • Mariolis, Theodore & Tsoulfidis, Lefteris, 2010. "Eigenvalue distribution and the production price-profit rate relationship in linear single-product systems: theory and empirical evidence," MPRA Paper 43716, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:43716
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    References listed on IDEAS

    as
    1. Lefteris Tsoulfidis, 2024. "Competing Schools of Economic Thought," Springer Studies in the History of Economic Thought, Springer, edition 2, number 978-3-031-58580-7, June.
    2. Zonghie Han & Bertram Schefold, 2006. "An empirical investigation of paradoxes: reswitching and reverse capital deepening in capital theory," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 30(5), pages 737-765, September.
    3. Guang-Zhen Sun, 2008. "The First Two Eigenvalues of Large Random Matrices and Brody's Hypothesis on the Stability of Large Input-Output Systems," Economic Systems Research, Taylor & Francis Journals, vol. 20(4), pages 429-432.
    4. Mainwaring, L., 1978. "The interest rate equalisation theorem with nontraded goods," Journal of International Economics, Elsevier, vol. 8(1), pages 11-19, February.
    5. Theodore Mariolis & Lefteris Tsoulfidis, 2017. "Measures of Production Price-Labour Value Deviation and Income Distribution in Actual Economies: Theory and Empirical Evidence," Bulletin of Political Economy, Bulletin of Political Economy, vol. 11(2), pages 151-170, December.
    6. Lefteris Tsoulfidis & Theodore Mariolis, 2007. "Labour Values, Prices of Production and the Effects of Income Distribution: Evidence from the Greek Economy," Economic Systems Research, Taylor & Francis Journals, vol. 19(4), pages 425-437.
    7. Lefteris Tsoulfidis, 2002. "Values, prices of production and market prices: some more evidence from the Greek economy," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 26(3), pages 359-369, May.
    8. Ian Steedman, 1999. "Values Do Follow a Simple Rule!," Economic Systems Research, Taylor & Francis Journals, vol. 11(1), pages 5-14.
    9. Steedman, Ian & Tomkins, Judith, 1998. "On Measuring the Deviation of Prices from Values," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 22(3), pages 379-385, May.
    10. R. M. Goodwin, 1983. "Essays in Linear Economic Structures," Palgrave Macmillan Books, Palgrave Macmillan, number 978-1-349-05507-4, October.
    11. Bidard, Christian & Salvadori, Neri, 1995. "Duality between prices and techniques," European Journal of Political Economy, Elsevier, vol. 11(2), pages 379-389, June.
    12. Bienenfeld, Mel, 1988. "Regularity in Price Changes as an Effect of Changes in Distribution," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 12(2), pages 247-255, June.
    13. Pierangelo Garegnani, 2024. "Heterogeneous Capital, the Production Function and the Theory of Distribution," Springer Studies in the History of Economic Thought, in: Roberto Ciccone (ed.), Capital Theory, the Surplus Approach, and Effective Demand, pages 147-193, Springer.
    14. J. S. Metcalfe & Ian Steedman, 1979. "Heterogeneous Capital and the Heckscher-Ohlin-Samuelson Theory of Trade," Palgrave Macmillan Books, in: Ian Steedman (ed.), Fundamental Issues in Trade Theory, chapter 5, pages 64-76, Palgrave Macmillan.
    15. Mariolis, Theodore, 2003. "Controllability, Observability, Regularity, and the so-called Problem of Transforming Values into Prices of Production," MPRA Paper 24043, University Library of Munich, Germany.
    16. Jaromir Cekota, 1988. "Technological Change in Canada (1961-80): An Application of the Surrogate Wage Function," Canadian Journal of Economics, Canadian Economics Association, vol. 21(2), pages 348-358, May.
    17. Aruka, Yuji, 1991. "Generalized Goodwin's theorems on general coordinates," Structural Change and Economic Dynamics, Elsevier, vol. 2(1), pages 69-91, June.
    18. L. Mainwaring, 1979. "The Interest Rate Equalisation Theorem with Non-Traded Goods," Palgrave Macmillan Books, in: Ian Steedman (ed.), Fundamental Issues in Trade Theory, chapter 7, pages 90-98, Palgrave Macmillan.
    19. Lefteris Tsoulfidis, 2008. "Price-value deviations: further evidence from input-output data of Japan," International Review of Applied Economics, Taylor & Francis Journals, vol. 22(6), pages 707-724.
    20. Parys, Wilfried, 1982. "The Deviation of Prices from Labor Values," American Economic Review, American Economic Association, vol. 72(5), pages 1208-1212, December.
    21. Anwar M. Shaikh, 1998. "The Empirical Strength of the Labour Theory of Value," Palgrave Macmillan Books, in: Riccardo Bellofiore (ed.), Marxian Economics: A Reappraisal, chapter 15, pages 225-251, Palgrave Macmillan.
    22. P. Garegnani, 1970. "A Reply," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 37(3), pages 439-439.
    23. Kurz,Heinz D. & Salvadori,Neri, 1997. "Theory of Production," Cambridge Books, Cambridge University Press, number 9780521588676, September.
    24. Schefold, Bertram, 2008. "C.E.S. production functions in the light of the Cambridge critique," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 783-797, June.
    25. Theodore Mariolis & Lefteris Tsoulfidis, 2010. "Measures Of Production Price‐Labour Value Deviation And Income Distribution In Actual Economies: A Note," Metroeconomica, Wiley Blackwell, vol. 61(4), pages 701-710, November.
    26. R. M. Goodwin, 1983. "Capital Theory in Orthogonalised General Co-ordinates," Palgrave Macmillan Books, in: Essays in Linear Economic Structures, chapter 8, pages 153-172, Palgrave Macmillan.
    27. G. Goldberg & P. Okunev & M. Neumann & H. Schneider, 2000. "Distribution of Subdominant Eigenvalues of Random Matrices," Methodology and Computing in Applied Probability, Springer, vol. 2(2), pages 137-151, August.
    28. Albert E. Steenge & Mark J. P. M. Thissen, 2005. "A New Matrix Theorem: Interpretation in Terms of Internal Trade Structure and Implications for Dynamic Systems," Journal of Economics, Springer, vol. 84(1), pages 71-94, February.
    29. Albert Steenge, 1995. "Sraffa and Goodwin: A unifying framework for standards of value in the income distribution problem," Journal of Economics, Springer, vol. 62(1), pages 55-75, February.
    30. Theodore Mariolis & Lefteris Tsoulfidis, 2009. "Decomposing the Changes in Production Prices into "Capital-Intensity" and "Price" Effects: Theory and Evidence from the Chinese Economy ," Contributions to Political Economy, Cambridge Political Economy Society, vol. 28(1), pages 1-22.
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. Bertram Schefold, 2012. "A Comment on ‘The Measurement of Prices of Production’ by Peter Flaschel, Reiner Franke & Roberto Veneziani," Review of Political Economy, Taylor & Francis Journals, vol. 24(3), pages 437-444, July.
    4. 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.
    5. Iliadi, Fotoula & Mariolis, Theodore & Soklis, George & Tsoulfidis, Lefteris, 2012. "Bienenfeld’s approximation of production prices and eigenvalue distribution: some more evidence from five European economies," MPRA Paper 36282, University Library of Munich, Germany.

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    More about this item

    Keywords

    Eigenvalue Distribution; Production Prices; Spectral Analysis; Standard Systems;
    All these keywords.

    JEL classification:

    • D46 - Microeconomics - - Market Structure, Pricing, and Design - - - Value Theory
    • B51 - Schools of Economic Thought and Methodology - - Current Heterodox Approaches - - - Socialist; Marxian; Sraffian
    • D57 - Microeconomics - - General Equilibrium and Disequilibrium - - - Input-Output Tables and Analysis
    • C67 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Input-Output Models
    • E11 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Marxian; Sraffian; Kaleckian

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