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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

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Paper provided by Department of Economics, University of Siena in its series Department of Economics University of Siena with number 568.

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Date of creation: Sep 2009
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Handle: RePEc:usi:wpaper:568

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Find related papers by JEL classification:
B51 - Schools of Economic Thought and Methodology - - Current Heterodox Approaches - - - Socialist; Marxian; Sraffian
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
D5 - Microeconomics - - General Equilibrium and Disequilibrium

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  1. Saverio M. Fratini, 2008. "Economic Generality Versus Mathematical Genericity: Activity-Level Indeterminacy And The Index Theorem In Constant Returns Production Economies," Metroeconomica, Blackwell Publishing, vol. 59(2), pages 266-275, 05. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
  3. Bertram Schefold, 2005. "Reswitching As A Cause Of Instability Of Intertemporal Equilibrium," Metroeconomica, Blackwell Publishing, vol. 56(4), pages 438-476, November. [Downloadable!] (restricted)
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