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The Non-Substitution Theorem: Multiple Primary Factors and the Cost Function Approach

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  • Kuga, K.

Abstract

The non- ub titution theorem a ert that the choice of technique i independent of pattern of final demand when efficiency prevail a to the u e of a ingle primary factor, say labor, while the a erted con tancy of theinput-output table no longer hold when more than one kind of primary factor i involved. No definite an wer ha yet been given a to whether the commodity price vector i determined independently of final demand pattern when there are multiple primary factor of production. hi paper how that the "unit co t = price" relation uniquely determine the commodity price relatively to a given factor price vector. he proof of uch a commdity price i provided by the u e of ar ki' fixed point theorem without recour e to topology.

Suggested Citation

  • Kuga, K., 2001. "The Non-Substitution Theorem: Multiple Primary Factors and the Cost Function Approach," ISER Discussion Paper 0529, Institute of Social and Economic Research, Osaka University.
    • Handle: RePEc:dpr:wpaper:0529
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    File URL: https://www.iser.osaka-u.ac.jp/library/dp/2001/dp0529.pdf
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    References listed on IDEAS

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    1. Edward J. Nell & Willi Semmler (ed.), 1991. "Nicholas Kaldor and Mainstream Economics," Palgrave Macmillan Books, Palgrave Macmillan, number 978-1-349-10947-0.
    2. J. E. Stiglitz, 1970. "Non-Substitution Theorems with Durable Capital Goods," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 37(4), pages 543-553.
    3. Heinz Kurz & Neri Salvadori, 1994. "The non-substitution theorem: Making good a lacuna," Journal of Economics, Springer, vol. 59(1), pages 97-103, February.
    4. Fujimoto, Takao, 1986. "Non-linear leontief models in abstract spaces," Journal of Mathematical Economics, Elsevier, vol. 15(2), pages 151-156, April.
    5. Burmeister, Edwin & Kuga, Kiyoshi, 1970. "The Factor-Price Frontier in a Neoclassical Multi-Sector Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 11(1), pages 162-174, February.
    6. Fujimoto, Takao, 1980. "Non-substitution theorems and the systems of nonlinear equations," Journal of Economic Theory, Elsevier, vol. 23(3), pages 410-415, December.
    7. J. A. Mirrlees, 1969. "The Dynamic Nonsubstitution Theorem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(1), pages 67-76.
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    Cited by:

    1. L. Cayton & R. Herring & A. Holder & J. Holzer & C. Nightingale & T. Stohs, 2006. "Asymptotic sign-solvability, multiple objective linear programming, and the nonsubstitution theorem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(3), pages 541-555, December.
    2. Soldatos, Gerasimos T., 2015. "Peacemaking and Peacebuilding through Opponent Non-Economic and Economic Homogenization," MPRA Paper 67482, University Library of Munich, Germany.

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    More about this item

    Keywords

    INPUT-OUTPUT ANALYSIS ; PRICES ; PRODUCTION;
    All these keywords.

    JEL classification:

    • D57 - Microeconomics - - General Equilibrium and Disequilibrium - - - Input-Output Tables and Analysis

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