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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

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Bibliographic Info

Paper provided by Department of Economics - University Roma Tre in its series Departmental Working Papers of Economics - University 'Roma Tre' with number 0072.

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Length: 20
Date of creation: Dec 2007
Date of revision:
Handle: RePEc:rtr:wpaper:0072

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Keywords: Overlapping generations; e±ciency; competitive prices; Cass Criterion; social security;

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  1. Subir Chattopadhyay & Piero Gottardi, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Working Papers 99-12, Brown University, Department of Economics.
  2. 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.
  3. 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.
  4. Okuno, Masahiro & Zilcha, Itzhak, 1980. "On the Efficiency of a Competitive Equilibrium in Infinite Horizon Monetary Economies," Review of Economic Studies, Wiley Blackwell, vol. 47(4), pages 797-807, July.
  5. 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.
  6. Jonathan L. Burke, 1999. "The robustness of optimal equilibrium among overlapping generations," Economic Theory, Springer, vol. 14(2), pages 311-329.
  7. 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.
  8. 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.
  9. repec:fth:louvco:9131 is not listed on IDEAS
  10. Geanakoplos, J. & Polemarchakis, H., 1991. "Overlapping generations," CORE Discussion Papers 1991031, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  11. Benveniste, Lawrence M, 1986. "Pricing Optimal Distributions to Overlapping Generations: A Corollary to Efficiency Pricing [A Complete Characterization of Efficiency in a General Capital Accumulation Model]," Review of Economic Studies, Wiley Blackwell, vol. 53(2), pages 301-06, April.
  12. 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.
  13. 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.
  14. Burke, Jonathan L, 1995. "Existence of a Pareto-Optimal Equilibrium in Nearly-Stationary Overlapping-Generations Economies," Economic Theory, Springer, vol. 5(2), pages 247-61, March.
  15. 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.
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