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On Ramsey's Conjecture: Efficient Allocations in the Neoclassical Growth Model with Private Information

Listed author(s):
  • Espino, Emilio

    (Institute for Advanced Studies, Vienna)

In his seminal paper of 1928, Ramsey conjectured that if agents discounted the future differently, in the long run all agents except the most patient would live at the subsistence level. The validity of this conjecture was investigated in different environments. In particular, it has been confirmed in the neoclassical growth model with dynamically complete markets. This paper studies this conjecture in a version of this model that includes private information and heterogeneous agents. A version of Bayesian Implementation is introduced and a recursive formulation of the original allocation problem is established. Efficient allocations are renegotiation-proof and the expected utility of any agent cannot go to zero with positive probability if the economy does not collapse. If the economy collapses all agents will get zero consumption forever. Thus, including any degree of private information in the neoclassical growth model will deny Ramsey's conjecture, if efficient allocations are considered.

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File URL: http://www.ihs.ac.at/publications/eco/es-154.pdf
File Function: First version, 2004
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Paper provided by Institute for Advanced Studies in its series Economics Series with number 154.

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Length: 40 pages
Date of creation: May 2004
Handle: RePEc:ihs:ihsesp:154
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  1. Townsend, Robert M, 1982. "Optimal Multiperiod Contracts and the Gain from Enduring Relationships under Private Information," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1166-1186, December.
  2. Espino, Emilio, 2005. "On Ramsey's conjecture: efficient allocations in the neoclassical growth model with private information," Journal of Economic Theory, Elsevier, vol. 121(2), pages 192-213, April.
  3. Thomas, Jonathan & Worrall, Tim, 1990. "Income fluctuation and asymmetric information: An example of a repeated principal-agent problem," Journal of Economic Theory, Elsevier, vol. 51(2), pages 367-390, August.
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  7. Becker, Robert & Zilcha, Itzhak, 1997. "Stationary Ramsey Equilibria under Uncertainty," Journal of Economic Theory, Elsevier, vol. 75(1), pages 122-140, July.
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  18. Andrew Atkeson & Robert E. Lucas, 1992. "On Efficient Distribution With Private Information," Review of Economic Studies, Oxford University Press, vol. 59(3), pages 427-453.
  19. Wang, Cheng, 2000. "Renegotiation-Proof Dynamic Contracts with Private Information," Staff General Research Papers Archive 5248, Iowa State University, Department of Economics.
  20. Huggett, Mark, 1997. "The one-sector growth model with idiosyncratic shocks: Steady states and dynamics," Journal of Monetary Economics, Elsevier, vol. 39(3), pages 385-403, August.
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  24. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1990. "Toward a Theory of Discounted Repeated Games with Imperfect Monitoring," Econometrica, Econometric Society, vol. 58(5), pages 1041-1063, September.
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