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A characterization of inefficiency in stochastic overlapping generations economies

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  • BLOISE, Gaetano
  • CALCIANO, Filippo L.

    (Université catholique de Louvain (UCL). Center for Operations Research and Econometrics (CORE))

Abstract

In this paper, we provide a characterization of interim inefficiency in stochastic economies ofoverlapping 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 characterization exploits a suitably Modified Cass Criterion, grounded on the long-run 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 inefficiency. In addition, for sequentially incomplete markets, we adopt a suitable notion of unambiguous inefficiency, separating the inefficient intertemporal allocation of resources from incomplete risk-sharing. Unambiguous inefficiency reduces to inefficiency when markets are sequentially complete.

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Bibliographic Info

Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers with number 2007093.

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Date of creation: 01 Dec 2007
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Handle: RePEc:cor:louvco:2007093

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Keywords: stochastic overlapping generations economies; inefficiency; competitive prices; cass criterion; social security; incomplete markets;

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References

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  1. 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.
  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. 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.
  4. repec:hal:cesptp:halshs-00086810 is not listed on IDEAS
  5. Aliprantis, C. D. & D. J. Brown & I. A. Polyrakis & J. Werner, 1996. "Portfolio Dominance and Optimality in Infinite Security Markets," Discussion Paper Serie B 383, University of Bonn, Germany.
  6. 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.
  7. Geanakoplos, J. & Polemarchakis, H., 1991. "Overlapping generations," CORE Discussion Papers 1991031, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. 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.
  9. Aliprantis, C. D. & Florenzano, M. & Martins-da-Rocha, V. F. & Tourky, R., 2004. "Equilibrium analysis in financial markets with countably many securities," Journal of Mathematical Economics, Elsevier, vol. 40(6), pages 683-699, September.
  10. Chattopadhyay, Subir & Gottardi, Piero, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Journal of Economic Theory, Elsevier, vol. 89(1), pages 21-67, November.
  11. 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.
  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. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467.
  14. repec:fth:louvco:9131 is not listed on IDEAS
  15. 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.
  16. 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.
  17. 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.
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Cited by:
  1. Gaetano Bloise & Pietro Reichlin, 2008. "Asset Prices, Debt Constraints and Inefficiency," EIEF Working Papers Series 0803, Einaudi Institute for Economics and Finance (EIEF), revised Mar 2008.
  2. Orrego, Fabrizio, 2011. "Sequential incompleteness and dynamic suboptimality in stochastic OLG economies with production," Working Papers 2011-014, Banco Central de Reserva del Perú.
  3. Robert A. Becker & Tapan Mitra, 2011. "Efficient Ramsey Equilbria," Caepr Working Papers 2011-009, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
  4. Fabrizio Orrego & Stephen Spear, . "Sequential incompleteness and dynamic suboptimality in stochastic OLG economies with production," GSIA Working Papers 2012-E38, Carnegie Mellon University, Tepper School of Business.
  5. Ohtaki, Eisei, 2013. "Golden rule optimality in stochastic OLG economies," Mathematical Social Sciences, Elsevier, vol. 65(1), pages 60-66.

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