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On the Convexity of the Value Function in Bayesian Optimal Control Problems


  • Nyarko, Yaw


I study the question on the convexity of the value function and Blackwell's (1951) Theorem and relate this to the uniqueness of optimal policies. The main results will conclude that strict convexity and a strict inequality in Blackwell's Theorem will hold if and only if from different priors different optimal actions may be chosen.

Suggested Citation

  • Nyarko, Yaw, 1994. "On the Convexity of the Value Function in Bayesian Optimal Control Problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(2), pages 303-309, March.
  • Handle: RePEc:spr:joecth:v:4:y:1994:i:2:p:303-09

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    References listed on IDEAS

    1. Mikhail Golosov & Larry E. Jones & Michèle Tertilt, 2007. "Efficiency with Endogenous Population Growth," Econometrica, Econometric Society, vol. 75(4), pages 1039-1071, July.
    2. Michel, Philippe, 1990. "Some Clarifications on the Transversality Condition," Econometrica, Econometric Society, vol. 58(3), pages 705-723, May.
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    5. Rupa Chakrabarti, 1999. "Endogenous fertility and growth in a model with old age support," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(2), pages 393-416.
    6. W. A. Brock, 1970. "On Existence of Weakly Maximal Programmes in a Multi-Sector Economy," Review of Economic Studies, Oxford University Press, vol. 37(2), pages 275-280.
    7. Eckstein, Zvi & Wolpin, Kenneth I., 1985. "Endogenous fertility and optimal population size," Journal of Public Economics, Elsevier, vol. 27(1), pages 93-106, June.
    8. de la Croix,David & Michel,Philippe, 2002. "A Theory of Economic Growth," Cambridge Books, Cambridge University Press, number 9780521001151, March.
    9. George B. Roberts, Chairman, Universities-National Bureau Committee for Economic Research, 1960. "Demographic and Economic Change in Developed Countries," NBER Books, National Bureau of Economic Research, Inc, number univ60-2, January.
    10. Raut, L K & Srinivasan, T N, 1994. "Dynamics of Endogenous Growth," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(5), pages 777-790, August.
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    Cited by:

    1. Jovanovic, Boyan & Nyarko, Yaw, 1996. "Learning by Doing and the Choice of Technology," Econometrica, Econometric Society, vol. 64(6), pages 1299-1310, November.
    2. Francisco M. Gonzalez & Shouyong Shi, 2010. "An Equilibrium Theory of Learning, Search, and Wages," Econometrica, Econometric Society, vol. 78(2), pages 509-537, March.
    3. Alejandro Francetich, 2014. "Managing Multiple Research Projects," Working Papers 516, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.

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