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Optimal Dynamic Information Provision

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  • Renault, Jérôme
  • Solan, Eilon
  • Vieille, Nicolas

Abstract

We study a dynamic model of information provision. A state of nature evolves according to a Markov chain. An advisor with commitment power decides how much information to provide to an uninformed decision maker, so as to influence his short-term decisions. We deal with a stylized class of situations, in which the decision maker has a risky action and a safe action, and the payoff to the advisor only depends on the action chosen by the decision maker. The greedy disclosure policy is the policy which, at each round, minimizes the amount of information being disclosed in that round, under the constraint that it maximizes the current payoff of the advisor. We prove that the greedy policy is optimal in many cases – but not always.

Suggested Citation

  • Renault, Jérôme & Solan, Eilon & Vieille, Nicolas, 2017. "Optimal Dynamic Information Provision," TSE Working Papers 17-749, Toulouse School of Economics (TSE).
    • Handle: RePEc:tse:wpaper:31316
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    References listed on IDEAS

    as
    1. Emir Kamenica & Matthew Gentzkow, 2011. "Bayesian Persuasion," American Economic Review, American Economic Association, vol. 101(6), pages 2590-2615, October.
    2. Johannes Hörner & Satoru Takahashi & Nicolas Vieille, 2015. "Truthful Equilibria in Dynamic Bayesian Games," Econometrica, Econometric Society, vol. 83(5), pages 1795-1848, September.
    3. Johannes Hörner & Andrzej Skrzypacz, 2016. "Selling Information," Journal of Political Economy, University of Chicago Press, vol. 124(6), pages 1515-1562.
    4. George J. Mailath & Larry Samuelson, 2001. "Who Wants a Good Reputation?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(2), pages 415-441.
    5. Susan Athey & Kyle Bagwell, 2008. "Collusion With Persistent Cost Shocks," Econometrica, Econometric Society, vol. 76(3), pages 493-540, May.
    6. Jérôme Renault, 2006. "The Value of Markov Chain Games with Lack of Information on One Side," Mathematics of Operations Research, INFORMS, vol. 31(3), pages 490-512, August.
    7. Yeon Koo Che & Johannes Horner, 2015. "Optimal Design for Social Learning," Levine's Bibliography 786969000000001075, UCLA Department of Economics.
    8. Renault, Jérôme & Solan, Eilon & Vieille, Nicolas, 2013. "Dynamic sender–receiver games," Journal of Economic Theory, Elsevier, vol. 148(2), pages 502-534.
    9. Juan F. Escobar & Juuso Toikka, 2013. "Efficiency in Games With Markovian Private Information," Econometrica, Econometric Society, vol. 81(5), pages 1887-1934, September.
    10. Johannes Hörner & Dinah Rosenberg & Eilon Solan & Nicolas Vieille, 2010. "On a Markov Game with One-Sided Information," Operations Research, INFORMS, vol. 58(4-part-2), pages 1107-1115, August.
    11. Jeffrey C. Ely, 2017. "Beeps," American Economic Review, American Economic Association, vol. 107(1), pages 31-53, January.
    12. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, December.
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    More about this item

    Keywords

    Dynamic information provision; optimal strategy; greedy algorithm; commitment;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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