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Efficiency and prices in economies of overlapping generations

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  • Gaetano Bloise

Abstract

In a general economy of overlapping generations, I introduce a notion of uniform ine±ciency, corresponding to the occurrence of a Pareto improvement with a small uniform destruction of resources (Debreu [11]). I provide necessary and su±cient conditions for uniform ine±ciency in terms of competitive equilibrium prices. Minimal assumptions are needed for such a complete characterization; moreover, proofs reduce to simple and short direct arguments. Finally, I verify that uniform ine±ciency is preserved under perturbations of the endowments, a property that has not been established for the canonical notion of ine±ciency. Remarkably, an allocation is unifo

Suggested Citation

  • Gaetano Bloise, 2007. "Efficiency and prices in economies of overlapping generations," Departmental Working Papers of Economics - University 'Roma Tre' 0072, Department of Economics - University Roma Tre.
    • Handle: RePEc:rtr:wpaper:0072
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    References listed on IDEAS

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    1. Burke, Jonathan L, 1995. "Existence of a Pareto-Optimal Equilibrium in Nearly-Stationary Overlapping-Generations Economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(2), pages 247-261, March.
    2. 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.
    3. Chattopadhyay, Subir & Gottardi, Piero, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Journal of Economic Theory, Elsevier, vol. 89(1), pages 21-67, November.
    4. Balasko, Yves & Cass, David & Shell, Karl, 1980. "Existence of competitive equilibrium in a general overlapping-generations model," Journal of Economic Theory, Elsevier, vol. 23(3), pages 307-322, December.
    5. Masahiro Okuno & Itzhak Zilcha, 1980. "On the Efficiency of a Competitive Equilibrium in Infinite Horizon Monetary Economies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(4), pages 797-807.
    6. Geanakoplos, John D. & Polemarchakis, Heraklis M., 1991. "Overlapping generations," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 35, pages 1899-1960, Elsevier.
    7. Jonathan L. Burke, 1999. "The robustness of optimal equilibrium among overlapping generations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(2), pages 311-329.
    8. Molina-Abraldes, Antonio & Pintos-Clapes, Juan, 2003. "A complete characterization of Pareto optimality for general OLG economies," Journal of Economic Theory, Elsevier, vol. 113(2), pages 235-252, December.
    9. Richard, Scott F. & Srivastava, Sanjay, 1988. "Equilibrium in economies with infinitely many consumers and infinitely many commodities," Journal of Mathematical Economics, Elsevier, vol. 17(1), pages 9-21, February.
    10. Benveniste, Lawrence M., 1976. "A complete characterization of efficiency for a general capital accumulation model," Journal of Economic Theory, Elsevier, vol. 12(2), pages 325-337, April.
    11. Burke, Jonathan L., 1987. "Inactive transfer policies and efficiency in general overlapping-generations economies," Journal of Mathematical Economics, Elsevier, vol. 16(3), pages 201-222, June.
    12. Balasko, Yves & Shell, Karl, 1980. "The overlapping-generations model, I: The case of pure exchange without money," Journal of Economic Theory, Elsevier, vol. 23(3), pages 281-306, December.
    13. Lawrence M. Benveniste, 1986. "Pricing Optimal Distributions to Overlapping Generations: A Corollary to Efficiency Pricing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(2), pages 301-306.
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    Cited by:

    1. Becker, Robert A. & Mitra, Tapan, 2012. "Efficient Ramsey Equilibria," Macroeconomic Dynamics, Cambridge University Press, vol. 16(S1), pages 18-32, April.

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    More about this item

    Keywords

    Overlapping generations; e±ciency; competitive prices; Cass Criterion; social security;
    All these keywords.

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis

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