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The Cass criterion, the net dividend criterion, and optimality

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  • Chattopadhyay, Subir

Abstract

Abel, Mankiw, Summers, and Zeckhauser [Assessing dynamic efficiency: theory and evidence, Rev. Econ. Stud. 56 (1989) 1-20] propose the net dividend criterion as an easy to use sufficient condition for optimality in general stochastic overlapping generations economies with production. We provide examples based on the criterion due to Cass [On capital overaccumulation in the aggregative neoclassical model of economic growth: a complete characterization, J. Econ. Theory 4 (1972) 200-223] and its extensions, the usual tools for such problems, to show that the net dividend criterion need not give the right answer. We identify the flaw in their proof. We also provide an alternative condition which, by an argument unrelated to theirs, is a sufficient condition for optimality when dividends are nonnegative and then argue that the condition is not innocuous since it cannot be verified in actual economies.

Suggested Citation

  • Chattopadhyay, Subir, 2008. "The Cass criterion, the net dividend criterion, and optimality," Journal of Economic Theory, Elsevier, vol. 139(1), pages 335-352, March.
  • Handle: RePEc:eee:jetheo:v:139:y:2008:i:1:p:335-352
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    References listed on IDEAS

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    1. Andrew B. Abel & N. Gregory Mankiw & Lawrence H. Summers & Richard J. Zeckhauser, 1989. "Assessing Dynamic Efficiency: Theory and Evidence," Review of Economic Studies, Oxford University Press, vol. 56(1), pages 1-19.
    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. Barbie Martin & Hagedorn Marcus & Kaul Ashok, 2004. "Assessing Aggregate Tests of Efficiency for Dynamic Economies," The B.E. Journal of Macroeconomics, De Gruyter, vol. 4(1), pages 1-17, December.
    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. 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.
    7. Masahiro Okuno & Itzhak Zilcha, 1980. "On the Efficiency of a Competitive Equilibrium in Infinite Horizon Monetary Economies," Review of Economic Studies, Oxford University Press, vol. 47(4), pages 797-807.
    8. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
    9. 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.
    10. Chattopadhyay, Subir, 2006. "Optimality in stochastic OLG models: Theory for tests," Journal of Economic Theory, Elsevier, vol. 131(1), pages 282-294, November.
    11. Zilcha, Itzhak, 1990. "Dynamic efficiency in overlapping generations models with stochastic production," Journal of Economic Theory, Elsevier, vol. 52(2), pages 364-379, December.
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    Cited by:

    1. Eugeni, Sara, 2015. "An OLG model of global imbalances," Journal of International Economics, Elsevier, vol. 95(1), pages 83-97.
    2. Becker, Robert A. & Mitra, Tapan, 2012. "Efficient Ramsey Equilibria," Macroeconomic Dynamics, Cambridge University Press, vol. 16(S1), pages 18-32, April.
    3. Bloise, Gaetano & Reichlin, Pietro, 2011. "Asset prices, debt constraints and inefficiency," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1520-1546, July.
    4. Stefan Homburg, 2014. "Overaccumulation, Public Debt and the Importance of Land," German Economic Review, Verein für Socialpolitik, vol. 15(4), pages 411-435, November.
    5. Kevin Luo & Tomoko Kinugasa & Kai Kajitani, 2018. "Dynamic efficiency in world economy," Discussion Papers 1801, Graduate School of Economics, Kobe University.
    6. Julia, Knolle, 2014. "An Empirical Comparison of Interest and Growth Rates," MPRA Paper 59520, University Library of Munich, Germany.

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