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Intertemporal Equilibrium and Walras' Theory of Capital: a Projection Based Approach

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  • Galeazzo Impicciatore
  • Luca Panaccione
  • Francesco Ruscitti

Abstract

In this paper we analyze the intertemporal competitive equilibrium of a walrasian model of capital accumulation. We prove the existence of equilibria by generalizing a result of Todd (1979). We overcome the indeterminacy in savings allocation to multiple types of capital goods by introducing a decreasing-return-to-scale storage technology. We nally verify that, for stored capital goods, equality of rates of returns is satis ed in equilibrium.

Suggested Citation

  • Galeazzo Impicciatore & Luca Panaccione & Francesco Ruscitti, 2009. "Intertemporal Equilibrium and Walras' Theory of Capital: a Projection Based Approach," Working Papers in Public Economics 121, Department of Economics and Law, Sapienza University of Roma.
    • Handle: RePEc:sap:wpaper:wp121
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    References listed on IDEAS

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    1. Magill, Michael & Shafer, Wayne, 1991. "Incomplete markets," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 30, pages 1523-1614, Elsevier.
    2. Kehoe, Timothy J, 1980. "An Index Theorem for General Equilibrium Models with Production," Econometrica, Econometric Society, vol. 48(5), pages 1211-1232, July.
    3. Pierangelo Garegnani, 2005. "Capital And Intertemporal Equilibria: A Reply To Mandler," Metroeconomica, Wiley Blackwell, vol. 56(4), pages 411-437, November.
    4. Todd, Michael J., 1979. "A note on computing equilibria in economies with activity analysis models of production," Journal of Mathematical Economics, Elsevier, vol. 6(2), pages 135-144, July.
    5. Efe A. Ok, 2007. "Preliminaries of Real Analysis, from Real Analysis with Economic Applications," Introductory Chapters, in: Real Analysis with Economic Applications, Princeton University Press.
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    More about this item

    Keywords

    Walras; Capital Goods; Activity Analysis; General Equilibrium.;
    All these keywords.

    JEL classification:

    • B21 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Microeconomics
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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