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A Note On The Characterization Of Inefficiency In Stochastic Overlapping Generations Economies

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Gaetano Bloise
Filippo L. Calciano

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Abstract

In this paper, we provide a characterization of interim ine±ciency in stochastic economies of overlapping generations under possibly sequentially incomplete markets. With respect to the established body of results in the literature, we remove the hypothesis of two-period horizons, by considering longer, though uniformly bounded, horizons for generations. The characteri- zation exploits a suitably Modi¯ed Cass Criterion, grounded on the long-rung behavior of compounded safe interest rates and independent of the length of horizons of generations. Thus, the hypothesis of two-period horizons is purely heuristic in establishing a criterion for ine±ciency. In addition, for sequentially incomplete markets, we adopt a suitable notion of unambiguous ine±ciency, separating the ine±cient intertemporal allocation of resources from incomplete risk-sharing. Unambiguous ine±ciency reduces to ine±ciency when markets are sequentially complete.

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Paper provided by Department of Economics - University Roma Tre in its series Departmental Working Papers of Economics - University 'Roma Tre' with number 0083.

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Handle: RePEc:rtr:wpaper:0083

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Related research
Keywords: Stochastic overlapping generations economies; ine±ciency; com-;

Find related papers by JEL classification:
D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis

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  1. 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. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
  3. 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. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
  6. Subir Chattopadhyay & Piero Gottardi, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Working Papers 99-12, Brown University, Department of Economics.
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  7. Subir Chattopadhyay, 2001. "Long-Lived Assets, Incomplete Markets, And Optimality," Working Papers. Serie AD 2001-10, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  8. Okuno, Masahiro & Zilcha, Itzhak, 1980. "On the Efficiency of a Competitive Equilibrium in Infinite Horizon Monetary Economies," Review of Economic Studies, Blackwell Publishing, vol. 47(4), pages 797-807, July. [Downloadable!] (restricted)
  9. Espen Henriksen & Steve Spear, 2006. "Dynamic Suboptimality of Competitive Equilibrium in Multiperiod Overlapping Generations Economies," Computing in Economics and Finance 2006 223, Society for Computational Economics. [Downloadable!]
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