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A Characterization of Inefficiency in Stochastic Overlapping Generations Economies

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  • Bloise, Gaetano
  • Calciano, Filippo L.

Abstract

In this paper, we provide a characterization of interim inefficiency 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 characterization exploits a suitably Modified 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 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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  • Bloise, Gaetano & Calciano, Filippo L., 2007. "A Characterization of Inefficiency in Stochastic Overlapping Generations Economies," MPRA Paper 8780, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:8780
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    1. 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.
    2. 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 467-467.
    3. Subir Chattopadhyay & Piero Gottardi, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Working Papers 99-12, Brown University, Department of Economics.
    4. 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.
    5. 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.
    6. 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.
    7. Chattopadhyay, Subir & Gottardi, Piero, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Journal of Economic Theory, Elsevier, vol. 89(1), pages 21-67, November.
    8. 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.
    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. 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.
    11. 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.
    12. 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.
    13. 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.
    14. Aliprantis, C. D. & Brown, D. J. & Polyrakis, I. A. & Werner, J., 1998. "Portfolio dominance and optimality in infinite security markets," Journal of Mathematical Economics, Elsevier, vol. 30(3), pages 347-366, October.
    15. 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.
    16. repec:dau:papers:123456789/601 is not listed on IDEAS
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    Cited by:

    1. Fabrizio Orrego & Stephen Spear, "undated". "Sequential incompleteness and dynamic suboptimality in stochastic OLG economies with production," GSIA Working Papers 2012-E38, Carnegie Mellon University, Tepper School of Business.
    2. Bloise, Gaetano & Reichlin, Pietro, 2011. "Asset prices, debt constraints and inefficiency," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1520-1546, July.
    3. Eisei Ohtaki, 2023. "Optimality in an OLG model with nonsmooth preferences," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(3), pages 611-659, September.
    4. Orrego, Fabrizio, 2011. "Sequential incompleteness and dynamic suboptimality in stochastic OLG economies with production," Working Papers 2011-014, Banco Central de Reserva del Perú.
    5. Eisei Ohtaki & Hiroyuki Ozaki, 2014. "Optimality in a Stochastic OLG Model with Ambiguity," Working Papers e069, Tokyo Center for Economic Research.
    6. Becker, Robert A. & Mitra, Tapan, 2012. "Efficient Ramsey Equilibria," Macroeconomic Dynamics, Cambridge University Press, vol. 16(S1), pages 18-32, April.
    7. Ohtaki, Eisei, 2013. "Golden rule optimality in stochastic OLG economies," Mathematical Social Sciences, Elsevier, vol. 65(1), pages 60-66.
    8. Chattopadhyay, Subir, 2018. "The unit root property and optimality with a continuum of states—Pure exchange," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 105-118.

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    More about this item

    JEL classification:

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

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