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Long-Lived Assets, Incomplete Markets, And Optimality

Author

Listed:
  • Subir Chattopadhyay

    (Universidad de Alicante)

Abstract

We consider general OLG economies under uncertainty, with dividend paying assets of infinite maturity and money, and in which one good is available for consumption. We study the optimality properties of equilibria when asset markets are allowed to be sequentially incomplete. We show that if equilibrium in asset markets has to be restored once an intervention has been made, then all non-monetary competitive equilibria are locally constrained optimal. We proceed to a notion of optimality which allows asset markets to not clear and provide a complete characterization of those equilibria that are optimal in terms of the prices and dividends of assets of infinite maturity and feasible portfolio reassignments. Results for various special cases follow; in particular, we show that if dividends are non-negative and assets are freely disposable then every non-monetary equilibrium allocation is optimal. Other results shed light on the role played by money vis-a-vis other assets of infinite maturity in determining the optimality properties of equilibria when markets are sequentially complete/incomplete and free disposal of assets is or is not allowed.

Suggested Citation

  • Subir Chattopadhyay, 2001. "Long-Lived Assets, Incomplete Markets, And Optimality," Working Papers. Serie AD 2001-10, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    • Handle: RePEc:ivi:wpasad:2001-10
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    References listed on IDEAS

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    1. Manuel S. Santos & Michael Woodford, 1997. "Rational Asset Pricing Bubbles," Econometrica, Econometric Society, vol. 65(1), pages 19-58, January.
    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. Gabrielle Demange & Guy Laroque, 1999. "Social Security and Demographic Shocks," Econometrica, Econometric Society, vol. 67(3), pages 527-542, May.
    4. Wilson, Charles A., 1981. "Equilibrium in dynamic models with an infinity of agents," Journal of Economic Theory, Elsevier, vol. 24(1), pages 95-111, February.
    5. Chattopadhyay, Subir & Gottardi, Piero, 1999. "Stochastic OLG Models, Market Structure, and Optimality," Journal of Economic Theory, Elsevier, vol. 89(1), pages 21-67, November.
    6. John Geanakoplos & Heracles M. Polemarchakis, 1985. "Existence, Regularity, and Constrained Suboptimality of Competitive Allocations When the Asset Market Is Incomplete," Cowles Foundation Discussion Papers 764, Cowles Foundation for Research in Economics, Yale University.
    7. Subir Chattopadhyay, 2000. "The Unit Root Property And Optimality: A Simple Proof," Working Papers. Serie AD 2000-31, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    8. Muench, Thomas J., 1977. "Optimality, the interaction of spot and futures markets, and the nonneutrality of money in the lucas model," Journal of Economic Theory, Elsevier, vol. 15(2), pages 325-344, August.
    9. Gottardi, Piero, 1996. "Stationary Monetary Equilibria in Overlapping Generations Models with Incomplete Markets," Journal of Economic Theory, Elsevier, vol. 71(1), pages 75-89, October.
    10. Antonio Jiménez-Martínez & Subir Chattopadhyay, 2000. "The Unit Root Property When Markets Are Sequentially Incomplete," Working Papers. Serie AD 2000-32, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    11. Allen, Franklin & Gale, Douglas, 1997. "Financial Markets, Intermediaries, and Intertemporal Smoothing," Journal of Political Economy, University of Chicago Press, vol. 105(3), pages 523-546, June.
    12. 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.
    13. Cass, David & Green, Richard C & Spear, Stephen E, 1992. "Stationary Equilibria with Incomplete Markets and Overlapping Generations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(3), pages 495-512, August.
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    Cited by:

    1. Gaetano Bloise & Filippo L. Calciano, 2007. "A Note On The Characterization Of Inefficiency In Stochastic Overlapping Generations Economies," Departmental Working Papers of Economics - University 'Roma Tre' 0083, Department of Economics - University Roma Tre.

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    More about this item

    Keywords

    Stochastic Overlapping Generations Models; Sequentially Incomplete Markets;

    JEL classification:

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

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