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The location of the value theories in the complex plane and the degree of regularity-controllability of actual economies

Author

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  • Mariolis, Theodore
Abstract
This paper expands the spectral analysis of the Sraffian value system, and shows that: (i) the hitherto alternative value theories can be conceived of as “perturbations” of the so-called pure labour value theory; (ii) these theories correspond to specific complex plane locations of the eigenvalues of the vertically integrated technical coefficients matrix; and (iii) the actual economies cannot be coherently analyzed in terms of the traditional value theories, despite the fact that their Krylov (or controllability) matrices are characterized by rather low degrees of regularity-controllability and relatively low numerical ranks. Hence, on the one hand, the Sraffian value theory is not only the most general one but also provides a sound empirical basis, while on the other hand, real-world economies constitute almost irregular-uncontrollable systems, and this explains the specific shape features of the empirical value-wage-profit rate curves.

Suggested Citation

  • 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.
    • Handle: RePEc:pra:mprapa:96972
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    References listed on IDEAS

    as
    1. 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.
    2. Noah J Cowan & Erick J Chastain & Daril A Vilhena & James S Freudenberg & Carl T Bergstrom, 2012. "Nodal Dynamics, Not Degree Distributions, Determine the Structural Controllability of Complex Networks," PLOS ONE, Public Library of Science, vol. 7(6), pages 1-5, June.
    3. Bertram Schefold, 2013. "Approximate surrogate production functions," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 37(5), pages 1161-1184.
    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. Bidard, Christian & Salvadori, Neri, 1995. "Duality between prices and techniques," European Journal of Political Economy, Elsevier, vol. 11(2), pages 379-389, June.
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    7. 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.
    8. Kemp, Murray C, 1973. "Heterogeneous Capital Goods and Long-Run Stolper-Samuelson Theorems," Australian Economic Papers, Wiley Blackwell, vol. 12(21), pages 253-260, December.
    9. 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.
    10. 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.
    11. Wolfgang F. Stolper & Paul A. Samuelson, 1941. "Protection and Real Wages," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 9(1), pages 58-73.
    12. Burmeister, Edwin, 1974. "Synthesizing the Neo-Austrian and Alternative Approaches to Capital Theory: A Survey," Journal of Economic Literature, American Economic Association, vol. 12(2), pages 413-456, June.
    13. Aruka, Yuji, 1991. "Generalized Goodwin's theorems on general coordinates," Structural Change and Economic Dynamics, Elsevier, vol. 2(1), pages 69-91, June.
    14. 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.
    15. Ara, Kenjiro, 1963. "A Note on Input-Output Matrices," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 3(2), pages 68-70, June.
    16. Fotoula Iliadi & Theodore Mariolis & George Soklis & Lefteris Tsoulfidis, 2014. "Bienenfeld's Approximation of Production Prices and Eigenvalue Distribution: Further Evidence from Five European Economies," Contributions to Political Economy, Cambridge Political Economy Society, vol. 33(1), pages 35-54.
    17. Kurz,Heinz D. & Salvadori,Neri, 1997. "Theory of Production," Cambridge Books, Cambridge University Press, number 9780521588676.
    18. Miyao, Takahiro, 1977. "A Generalization of Sraffa's Standard Commodity and Its Complete Characterization," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(1), pages 151-162, February.
    19. Theodore Mariolis & Nikolaos Rodousakis & Apostolis Katsinos, 2019. "Wage versus currency devaluation, price pass-through and income distribution: a comparative input–output analysis of the Greek and Italian economies," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 8(1), pages 1-23, December.
    20. 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. Mariolis, Theodore & Veltsistas, Panagiotis, 2020. "Γιορτάζοντας τα 60 χρόνια των Θεωριών του Rudolf E. Kálmán και του Piero Sraffa: Τα Συστήματα Τιμών του Πραγματικού Κόσμου είναι Σχεδόν Μη-Ελέγξιμα [Celebrating 60 Years of Rudolf E. Kálmán’s and P," MPRA Paper 99648, University Library of Munich, Germany.
    2. 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.

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    More about this item

    Keywords

    Almost irregular-uncontrollable system; Characteristic value distributions; Circulant matrices; Degree of regularity-controllability; Numerical rank; Value theories;
    All these keywords.

    JEL classification:

    • B51 - Schools of Economic Thought and Methodology - - Current Heterodox Approaches - - - Socialist; Marxian; Sraffian
    • B53 - Schools of Economic Thought and Methodology - - Current Heterodox Approaches - - - Austrian
    • C67 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Input-Output Models
    • D46 - Microeconomics - - Market Structure, Pricing, and Design - - - Value Theory
    • D57 - Microeconomics - - General Equilibrium and Disequilibrium - - - Input-Output Tables and Analysis

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