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Bienenfeld’s approximation of production prices and eigenvalue distribution: some more evidence from five European economies

Author

Listed:
  • Iliadi, Fotoula
  • Mariolis, Theodore
  • Soklis, George
  • Tsoulfidis, Lefteris

Abstract

This paper tests Bienenfeld’s polynomial approximation of production prices using data from ten symmetric input-output tables of five European economies. The empirical results show that the quadratic formula works extremely well and its accuracy is connected to the actual distribution of the eigenvalues of the matrices of vertically integrated technical coefficients.

Suggested Citation

  • 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.
    • Handle: RePEc:pra:mprapa:36282
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. Soklis, George, 2011. "Wage-profit curves of the Finnish economy: evidence from the supply and use tables," MPRA Paper 30183, University Library of Munich, Germany.
    5. 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.
    6. 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.
    7. George Soklis, 2011. "Shape Of Wage–Profit Curves In Joint Production Systems: Evidence From The Supply And Use Tables Of The Finnish Economy," Metroeconomica, Wiley Blackwell, vol. 62(4), pages 548-560, November.
    8. 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.
    9. Theodore Mariolis & George Soklis, 2011. "On constructing numeraire-free measures of price--value deviation: a note on the Steedman--Tomkins distance," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 35(3), pages 613-618.
    10. 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.
    11. Kurz,Heinz D. & Salvadori,Neri, 1997. "Theory of Production," Cambridge Books, Cambridge University Press, number 9780521588676.
    12. 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.
    13. 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.
    14. 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.
    15. T Mariolis & G Soklis, 2010. "Additive Labour Values and Prices: Evidence from the Supply and Use Tables of the French, German and Greek Economies," Economic Issues Journal Articles, Economic Issues, vol. 15(2), pages 87-107, September.
    16. 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.
    17. 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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    Cited by:

    1. Theodore Mariolis & Lefteris Tsoulfidis, 2012. "On Brody’S Conjecture: Facts And Figures From The Us Economy," Discussion Paper Series 2012_06, Department of Economics, University of Macedonia, revised May 2012.
    2. 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.
    3. Mariollis, Theodore, 2012. "Goodwin’s Growth Cycle Model with the Bhaduri-Marglin Accumulation Function," MPRA Paper 40738, University Library of Munich, Germany.

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    More about this item

    Keywords

    Bienenfeld’s approximation; Damping ratio; Eigenvalue distribution; Empirical evidence; Production prices;
    All these keywords.

    JEL classification:

    • B51 - Schools of Economic Thought and Methodology - - Current Heterodox Approaches - - - Socialist; Marxian; Sraffian
    • D46 - Microeconomics - - Market Structure, Pricing, and Design - - - Value Theory
    • 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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