IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2005.07267.html
   My bibliography  Save this paper

Dynamic information design

Author

Listed:
  • Deepanshu Vasal

Abstract

We consider the problem of dynamic information design with one sender and one receiver where the sender observers a private state of the system and takes an action to send a signal based on its observation to a receiver. Based on this signal, the receiver takes an action that determines rewards for both the sender and the receiver and controls the state of the system. In this technical note, we show that this problem can be considered as a problem of dynamic game of asymmetric information and its perfect Bayesian equilibrium (PBE) and Stackelberg equilibrium (SE) can be analyzed using the algorithms presented in [1], [2] by the same author (among others). We then extend this model when there is one sender and multiple receivers and provide algorithms to compute a class of equilibria of this game.

Suggested Citation

  • Deepanshu Vasal, 2020. "Dynamic information design," Papers 2005.07267, arXiv.org.
  • Handle: RePEc:arx:papers:2005.07267
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2005.07267
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Gentzkow, Matthew & Kamenica, Emir, 2017. "Bayesian persuasion with multiple senders and rich signal spaces," Games and Economic Behavior, Elsevier, vol. 104(C), pages 411-429.
    2. Emir Kamenica, 2019. "Bayesian Persuasion and Information Design," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 249-272, August.
    3. David Lingenbrink & Krishnamurthy Iyer, 2019. "Optimal Signaling Mechanisms in Unobservable Queues," Operations Research, INFORMS, vol. 67(5), pages 1397-1416, September.
    4. Li, Fei & Norman, Peter, 2018. "On Bayesian persuasion with multiple senders," Economics Letters, Elsevier, vol. 170(C), pages 66-70.
    5. James Best & Daniel Quigley, 2016. "Persuasion for the Long-Run," Economics Papers 2016-W12, Economics Group, Nuffield College, University of Oxford.
    6. Alonso, Ricardo & Câmara, Odilon, 2016. "Bayesian persuasion with heterogeneous priors," Journal of Economic Theory, Elsevier, vol. 165(C), pages 672-706.
    7. Dirk Bergemann & Stephen Morris, 2016. "Information Design, Bayesian Persuasion, and Bayes Correlated Equilibrium," American Economic Review, American Economic Association, vol. 106(5), pages 586-591, May.
    8. Johannes Hörner & Andrzej Skrzypacz, 2016. "Selling Information," Journal of Political Economy, University of Chicago Press, vol. 124(6), pages 1515-1562.
    9. Deepanshu Vasal, 2020. "Sequential decomposition of stochastic Stackelberg games," Papers 2005.01997, arXiv.org, revised Sep 2022.
    10. Hedlund, Jonas, 2015. "Persuasion with communication costs," Games and Economic Behavior, Elsevier, vol. 92(C), pages 28-40.
    11. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    12. Pak Hung Au, 2015. "Dynamic information disclosure," RAND Journal of Economics, RAND Corporation, vol. 46(4), pages 791-823, October.
    13. Renault, Jérôme & Solan, Eilon & Vieille, Nicolas, 2017. "Optimal dynamic information provision," Games and Economic Behavior, Elsevier, vol. 104(C), pages 329-349.
    14. Honryo, Takakazu, 2018. "Dynamic persuasion," Journal of Economic Theory, Elsevier, vol. 178(C), pages 36-58.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Farzaneh Farhadi & Demosthenis Teneketzis, 2022. "Dynamic Information Design: A Simple Problem on Optimal Sequential Information Disclosure," Dynamic Games and Applications, Springer, vol. 12(2), pages 443-484, June.
    2. Shih-Tang Su & Vijay G. Subramanian & Grant Schoenebeck, 2021. "Bayesian Persuasion in Sequential Trials," Papers 2110.09594, arXiv.org, revised Nov 2021.
    3. Parakhonyak, Alexei & Vikander, Nick, 2023. "Information design through scarcity and social learning," Journal of Economic Theory, Elsevier, vol. 207(C).
    4. Ronen Gradwohl & Niklas Hahn & Martin Hoefer & Rann Smorodinsky, 2020. "Reaping the Informational Surplus in Bayesian Persuasion," Papers 2006.02048, arXiv.org.
    5. Shih-Tang Su & Vijay G. Subramanian, 2022. "Order of Commitments in Bayesian Persuasion with Partial-informed Senders," Papers 2202.06479, arXiv.org.
    6. Simon Board & Jay Lu, 2018. "Competitive Information Disclosure in Search Markets," Journal of Political Economy, University of Chicago Press, vol. 126(5), pages 1965-2010.
    7. Au, Pak Hung & Kawai, Keiichi, 2020. "Competitive information disclosure by multiple senders," Games and Economic Behavior, Elsevier, vol. 119(C), pages 56-78.
    8. Zhao, Wei & Mezzetti, Claudio & Renou, Ludovic & Tomala, Tristan, 2024. "Contracting over persistent information," Theoretical Economics, Econometric Society, vol. 19(2), May.
    9. Wu, Haoyang, 2022. "A type-adjustable mechanism where the designer may obtain more payoffs by optimally controlling distributions of agents' types," MPRA Paper 113150, University Library of Munich, Germany.
    10. Elias Tsakas & Nikolas Tsakas & Dimitrios Xefteris, 2021. "Resisting persuasion," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(3), pages 723-742, October.
    11. Matysková, Ludmila & Montes, Alfonso, 2023. "Bayesian persuasion with costly information acquisition," Journal of Economic Theory, Elsevier, vol. 211(C).
    12. Ehud Lehrer & Dimitry Shaiderman, 2022. "Markovian Persuasion with Stochastic Revelations," Papers 2204.08659, arXiv.org, revised May 2022.
    13. Wu, Wenhao, 2023. "Sequential Bayesian persuasion," Journal of Economic Theory, Elsevier, vol. 214(C).
    14. Ehud Lehrer & Dimitry Shaiderman, 2021. "Markovian Persuasion," Papers 2111.14365, arXiv.org.
    15. Babichenko, Yakov & Talgam-Cohen, Inbal & Xu, Haifeng & Zabarnyi, Konstantin, 2022. "Regret-minimizing Bayesian persuasion," Games and Economic Behavior, Elsevier, vol. 136(C), pages 226-248.
    16. Alp Atakan & Mehmet Ekmekci & Ludovic Renou, 2021. "Cross-verification and Persuasive Cheap Talk," Papers 2102.13562, arXiv.org, revised Apr 2021.
    17. Claude Fluet & Thomas Lanzi, 2021. "Cross-Examination," Working Papers of BETA 2021-40, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    18. Onuchic, Paula & Ray, Debraj, 2023. "Conveying value via categories," Theoretical Economics, Econometric Society, vol. 18(4), November.
    19. Gabriele Gratton & Richard Holden & Anton Kolotilin, 2018. "When to Drop a Bombshell," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(4), pages 2139-2172.
    20. Chan, Jimmy & Gupta, Seher & Li, Fei & Wang, Yun, 2019. "Pivotal persuasion," Journal of Economic Theory, Elsevier, vol. 180(C), pages 178-202.
      • Jimmy Chan & Seher Gupta & Fei Li & Yun Wang, 2018. "Pivotal Persuasion," Working Papers 2018-11-03, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:2005.07267. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.