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On Ramsey's conjecture: efficient allocations in the neoclassical growth model with private information

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  • Espino, Emilio

Abstract

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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  • 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.
  • Handle: RePEc:eee:jetheo:v:121:y:2005:i:2:p:192-213
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    Cited by:

    1. Emilio Espino & Thomas Hintermaier, 2009. "Asset trading volume in a production economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(2), pages 231-258, May.
    2. Richard M. H. Suen, 2014. "Time Preference And The Distributions Of Wealth And Income," Economic Inquiry, Western Economic Association International, vol. 52(1), pages 364-381, January.
    3. Cheng Wang, 2000. "Renegotiation-Proof Dynamic Contracts with Private Information," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(3), pages 396-422, July.
    4. Mehmet Özer & Çağrı Sağlam, 2016. "Strategic Interaction And Catching Up," Bulletin of Economic Research, Wiley Blackwell, vol. 68(2), pages 168-181, April.
    5. 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.
    6. Gian Luca Clementi & Thomas Cooley & Sonia Di Giannatale, 2010. "A Theory of Firm Decline," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 13(4), pages 861-885, October.
    7. Espino, Emilio & Kozlowski, Julian & Sánchez, Juan M., 2018. "Investment and bilateral insurance," Journal of Economic Theory, Elsevier, vol. 176(C), pages 311-341.
    8. Yunmin Chen & YiLi Chien & Michael T. Owyang, 2015. "Individual and Aggregate Constrained Efficient Intertemporal Wedges in Dynamic Mirrleesian Economies," Working Papers 2015-43, Federal Reserve Bank of St. Louis.
    9. Emilio Espino, 2012. "Investment and Insurance in an Economic Union," 2012 Meeting Papers 1176, Society for Economic Dynamics.
    10. Emilio Espino & Juan M. Sanchez, 2010. "Risk sharing, investment, and incentives in the neoclassical growth model," Economic Quarterly, Federal Reserve Bank of Richmond, vol. 96(4Q), pages 399-416.
    11. Emilio Espino & Julian Kozlowski & Juan M. Sanchez, 2013. "Too big to cheat: Efficiency and Investment in Partnerships," Working Papers 2013-001, Federal Reserve Bank of St. Louis.

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    More about this item

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution

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