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The Unit Root Property And Optimality: A Simple Proof

Author

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  • Subir Chattopadhyay

    (Universidad de Alicante)

Abstract

Consider a pure exchange OLG economy under stationary Markov uncertainty with one good and with sequentially complete markets. It is known that an interior stationary equilibrium allocation at which the agents common matrix of intertemporal rates of substitution has a Perron root which is less than or equal to one is conditionally Pareto optimal. We provide a simple and direct proof of this fact.

Suggested Citation

  • Subir Chattopadhyay, 2000. "The Unit Root Property And Optimality: A Simple Proof," Working Papers. Serie AD 2000-31, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    • Handle: RePEc:ivi:wpasad:2000-31
    as

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    File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-2000-31.pdf
    File Function: Fisrt version / Primera version, 2000
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    References listed on IDEAS

    as
    1. Zilcha, Itzhak, 1991. "Characterizing efficiency in stochastic overlapping generations models," Journal of Economic Theory, Elsevier, vol. 55(1), pages 1-16, October.
    2. Gabrielle Demange & Guy Laroque, 1999. "Social Security and Demographic Shocks," Econometrica, Econometric Society, vol. 67(3), pages 527-542, May.
    3. Cass, David, 1972. "On capital overaccumulation in the aggregative, neoclassical model of economic growth: A complete characterization," Journal of Economic Theory, Elsevier, vol. 4(2), pages 200-223, April.
    4. Chattopadhyay, Subir & Gottardi, Piero, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Journal of Economic Theory, Elsevier, vol. 89(1), pages 21-67, November.
    5. Rao Aiyagari, S. & Peled, Dan, 1991. "Dominant root characterization of Pareto optimality and the existence of optimal equilibria in stochastic overlapping generations models," Journal of Economic Theory, Elsevier, vol. 54(1), pages 69-83, June.
    6. Muench, Thomas J., 1977. "Optimality, the interaction of spot and futures markets, and the nonneutrality of money in the lucas model," Journal of Economic Theory, Elsevier, vol. 15(2), pages 325-344, August.
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    Cited by:

    1. Subir Chattopadhyay, 2001. "Long-Lived Assets, Incomplete Markets, And Optimality," Working Papers. Serie AD 2001-10, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).

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