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On the Recent Debate on Capital Theory and General Equilibrium

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  • Fabio Petri

Abstract

The paper disputes the negative conclusion of prof. Mandler on the thesis by Garegnani, Schefold, Parrinello that intertemporal general equilibrium theory too is undermined by reswitching and reverse capital deepening. The paper argues that Mandler’s conclusion rests upon highly criticisable assumptions that render the equations of intertemporal general equilibrium identical to those of general equilibria without capital goods. The Walrasian treatment of the capital endowment is criticized in Part I on the basis of its insufficient persistence, and of other ‘methodological’ criticisms that are systematically surveyed. In Part II it is shown through a numerical example that Mandler’s claim, that the assumption of a single consumer guarantees uniqueness of intertemporal equilibrium independently of reswitching or reverse capital deepening, rests on the absence of production of capital goods in the last period of the equilibrium; this assumption is thus revealed to be one of the tricks that prevents the existence of capital goods from changing the properties of the equilibrium relative to those of equilibria without capital

Suggested Citation

  • Fabio Petri, 2009. "On the Recent Debate on Capital Theory and General Equilibrium," Department of Economics University of Siena 568, Department of Economics, University of Siena.
  • Handle: RePEc:usi:wpaper:568
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    File URL: http://repec.deps.unisi.it/quaderni/568.pdf
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    References listed on IDEAS

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    1. Pierangelo Garegnani, 2005. "Capital And Intertemporal Equilibria: A Reply To Mandler," Metroeconomica, Wiley Blackwell, vol. 56(4), pages 411-437, November.
    2. Fabio Petri, 2006. "General Equilibrium Theory and Professor Blaug," Department of Economics University of Siena 486, Department of Economics, University of Siena.
    3. Ennio Bilancini & Fabio Petri, 2008. "A Comment On Gintis's "The Dynamics of General Equilibrium"," Economics Bulletin, AccessEcon, vol. 2(3), pages 1-7.
    4. Enrico Sergio Levrero & Saverio M. Fratini, 2007. "Su Mandler e la Indeterminatezza Sraffiana," Departmental Working Papers of Economics - University 'Roma Tre' 0077, Department of Economics - University Roma Tre.
    5. Michael Mandler, 2002. "Classical and Neoclassical Indeterminacy in One-shot Versus Ongoing Equilibria," Metroeconomica, Wiley Blackwell, vol. 53(3), pages 203-222, August.
    6. Herbert Gintis, 2007. "The Dynamics of General Equilibrium," Economic Journal, Royal Economic Society, vol. 117(523), pages 1280-1309, October.
    7. Neri Salvadori (ed.), 2003. "The Theory of Economic Growth," Books, Edward Elgar Publishing, number 2741.
    8. Bertram Schefold, 2008. "Savings, Investment and Capital in a System of General Intertemporal Equilibrium — an Extended Comment on Garegnani with a Note on Parrinello," Palgrave Macmillan Books, in: Guglielmo Chiodi & Leonardo Ditta (ed.), Sraffa or An Alternative Economics, chapter 6, pages 127-186, Palgrave Macmillan.
    9. Saverio M. Fratini, 2008. "Economic Generality Versus Mathematical Genericity: Activity‐Level Indeterminacy And The Index Theorem In Constant Returns Production Economies," Metroeconomica, Wiley Blackwell, vol. 59(2), pages 266-275, May.
    10. Fabio Petri, 2004. "General Equilibrium, Capital and Macroeconomics," Books, Edward Elgar Publishing, number 3438.
    11. repec:ebl:ecbull:v:2:y:2008:i:3:p:1-7 is not listed on IDEAS
    12. Bertram Schefold, 2005. "Reswitching As A Cause Of Instability Of Intertemporal Equilibrium," Metroeconomica, Wiley Blackwell, vol. 56(4), pages 438-476, November.
    13. Michael Mandler, 2005. "Well‐Behaved Production Economies," Metroeconomica, Wiley Blackwell, vol. 56(4), pages 477-494, November.
    14. Quah, John K. -H., 2003. "Market demand and comparative statics when goods are normal," Journal of Mathematical Economics, Elsevier, vol. 39(3-4), pages 317-333, June.
    15. Pierangelo Garegnani & Antonella Palumbo, 1997. "Accomulation of capital," Departmental Working Papers of Economics - University 'Roma Tre' 0002, Department of Economics - University Roma Tre.
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    Cited by:

    1. Rosas-Martinez, Victor H., 2016. "Towards a Democratization of Knowledge with Topological Emphasis in Economics," MPRA Paper 74746, University Library of Munich, Germany.
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    3. Gosselin, Pierre & Lotz, Aïleen & Wambst, Marc, 2016. "How To Spend It? Capital Accumulation in a Changing World," MPRA Paper 71665, University Library of Munich, Germany.

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    More about this item

    JEL classification:

    • B51 - Schools of Economic Thought and Methodology - - Current Heterodox Approaches - - - Socialist; Marxian; Sraffian
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium

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