IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/43716.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/43716/1/MPRA_paper_43716.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    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, December.
    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, December.
    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, October.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Theodore Mariolis & Lefteris Tsoulfidis, 2018. "Less Is More: Capital Theory And Almost Irregular-Uncontrollable Actual Economies," Contributions to Political Economy, Cambridge Political Economy Society, vol. 37(1), pages 65-88.
    2. 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.
    3. Mariolis, Theodore & Tsoulfidis, Lefteris, 2016. "Capital theory: Less is more," MPRA Paper 75923, University Library of Munich, Germany.
    4. Theodore Mariolis & George Soklis & Eugenia Zouvela, 2013. "Testing Böhm-Bawerk’s theory of capital: Some evidence from the Finnish economy," The Review of Austrian Economics, Springer;Society for the Development of Austrian Economics, vol. 26(2), pages 207-220, June.
    5. Theodore Mariolis & Lefteris Tsoulfidis, 2016. "Capital theory ‘paradoxes’ and paradoxical results: resolved or continued?," Evolutionary and Institutional Economics Review, Springer, vol. 13(2), pages 297-322, December.
    6. 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.
    7. Lefteris Tsoulfidis & Dimitris Paitaridis, 2017. "Monetary Expressions of Labour Time and Market Prices: Theory and Evidence from China, Japan and Korea," Review of Political Economy, Taylor & Francis Journals, vol. 29(1), pages 111-132, January.
    8. Tsoulfidis, Lefteris, 2021. "Capital Theory Debates: New Developments and Direction," Centro Sraffa Working Papers CSWP51, Centro di Ricerche e Documentazione "Piero Sraffa".
    9. 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.
    10. Mariolis, Theodore & Tsoulfidis, Lefteris, 2012. "On Bródy’s conjecture: facts and figures from the US economy," MPRA Paper 43719, University Library of Munich, Germany.
    11. Schefold, Bertram, 2023. "The rarity of reswitching explained," Structural Change and Economic Dynamics, Elsevier, vol. 67(C), pages 128-150.
    12. Mariolis, Theodore, 2015. "Testing Bienenfeld’s Second-Order Approximation for the Wage-Profit Curve," MPRA Paper 68215, University Library of Munich, Germany.
    13. 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.
    14. 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.
    15. 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.
    16. Theodore Mariolis, 2015. "Norm Bounds and A Homographic Approximation for the Wage–Profit Curve," Metroeconomica, Wiley Blackwell, vol. 66(2), pages 263-283, May.
    17. 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.
    18. 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.
    19. Jonathan F. Cogliano & Roberto Veneziani & Naoki Yoshihara, 2022. "Computational methods and classical‐Marxian economics," Journal of Economic Surveys, Wiley Blackwell, vol. 36(2), pages 310-349, April.
    20. 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.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:43716. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.