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Sraffian Indeterminacy in General Equilibrium

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  • Michael Mandler

Abstract

The indeterminacy claim for competitive price systems made by Sraffa (1960) is examined by placing Sraffa's work in an intertemporal general equilibrium model. We show that indeterminacy occurs at a natural type of equilibrium. Moreover, the presence of linear activities instead of a differentiate technology is crucial and the indeterminacy is constructed, as in Sraffa, by fixing some or all of the economy's aggregate quantities. On the other hand, an extra condition, that some factors have inelastic excess demand is necessary, and, unlike Sraffa's model, relative prices must be allowed to vary through time. Sraffian indeterminacy and the generic finiteness of the number of equilibria are reconciled by showing that indeterminacy occurs at a measure-zero set of endowments. We use an overlapping-generations model to show that these endowments nevertheless arise systematically and that indeterminacy does not occur when relative prices are constant through time.

Suggested Citation

  • Michael Mandler, 1999. "Sraffian Indeterminacy in General Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(3), pages 693-711.
    • Handle: RePEc:oup:restud:v:66:y:1999:i:3:p:693-711.
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    File URL: http://hdl.handle.net/10.1111/1467-937X.00104
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    Cited by:

    1. Kurose, Kazuhiro & Yoshihara, Naoki, 2019. "On the Ricardian invariable measure of value in general convex economies," Structural Change and Economic Dynamics, Elsevier, vol. 51(C), pages 539-549.
    2. Jonathan F. Cogliano & Roberto Veneziani & Naoki Yoshihara, 2016. "The Dynamics of Exploitation and Class in Accumulation Economies," Metroeconomica, Wiley Blackwell, vol. 67(2), pages 242-290, May.
    3. Yoshihara, Naoki & Veneziani, Roberto, 2023. "The general equilibrium effects of localised technological progress: A Classical approach," Journal of Mathematical Economics, Elsevier, vol. 109(C).
    4. Yoshihara, Naoki & Kwak, Se Ho, 2020. "A Simple Example of Sraffian Indeterminacy in Walrasian General Equilibrium Framework," Discussion Paper Series 717, Institute of Economic Research, Hitotsubashi University.
    5. Galanis, Giorgos & Veneziani, Roberto & Yoshihara, Naoki, 2019. "The dynamics of inequalities and unequal exchange of labor in intertemporal linear economies," Journal of Economic Dynamics and Control, Elsevier, vol. 100(C), pages 29-46.
    6. Bellino, Enrico, 2009. "The Classical approach to distribution and the “natural system”," MPRA Paper 14901, University Library of Munich, Germany.
    7. Fratini, Saverio M. & Levrero, Enrico Sergio & Ravagnani, Fabio, 2016. "Price expectations in neo-Walrasian equilibrium models: an overview," MPRA Paper 69515, University Library of Munich, Germany.
    8. Borissov, Kirill, 2002. "Indeterminate steady-state equilibria in a one-sector model," Economics Letters, Elsevier, vol. 77(1), pages 125-130, September.
    9. Yoshihara, Naoki & Kwak, Se Ho, 2019. "Sraffian Indeterminacy in General Equilibrium Revisited," Discussion Paper Series 698, Institute of Economic Research, Hitotsubashi University.
    10. Rodríguez-Arana, Alejandro, 2016. "Una visión crítica del problema de indeterminación de la distribución del ingreso en el sistema económico de piero Sraffa./ A critical view of the problem indeterminacy of distributionincome in the sy," Panorama Económico, Escuela Superior de Economía, Instituto Politécnico Nacional, vol. 12(23), pages 7-28, Segundo s.

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