IDEAS home Printed from https://ideas.repec.org/a/inm/ormoor/v47y2022i1p153-175.html
   My bibliography  Save this article

Interactive Information Design

Author

Listed:
  • Frédéric Koessler

    (Paris School of Economics–CNRS, 75014 Paris, France)

  • Marie Laclau

    (HEC Paris and GREGHEC-CNRS, 78351 Jouy-en-Josas, France)

  • Tristan Tomala

    (HEC Paris and GREGHEC-CNRS, 78351 Jouy-en-Josas, France)

Abstract

We study the interaction between multiple information designers who try to influence the behavior of a set of agents. When each designer can choose information policies from a compact set of statistical experiments with countable support, such games always admit subgame-perfect equilibria. When designers produce public information, every equilibrium of the simple game in which the set of messages coincides with the set of states is robust in the sense that it is an equilibrium with larger and possibly infinite and uncountable message sets. The converse is true for a class of Markovian equilibria only. When designers produce information for their own corporation of agents, robust pure-strategy equilibria exist and are characterized via an auxiliary normal-form game in which the set of strategies of each designer is the set of outcomes induced by Bayes correlated equilibria in her corporation.

Suggested Citation

  • Frédéric Koessler & Marie Laclau & Tristan Tomala, 2022. "Interactive Information Design," Mathematics of Operations Research, INFORMS, vol. 47(1), pages 153-175, February.
    • Handle: RePEc:inm:ormoor:v:47:y:2022:i:1:p:153-175
    DOI: 10.1287/moor.2020.1119
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/moor.2020.1119
    Download Restriction: no
    File URL: https://libkey.io/10.1287/moor.2020.1119?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Au, Pak Hung & Kawai, Keiichi, 2020. "Competitive information disclosure by multiple senders," Games and Economic Behavior, Elsevier, vol. 119(C), pages 56-78.
    2. Fumitoshi Moriya & Takuro Yamashita, 2020. "Asymmetric‐information allocation to avoid coordination failure," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 29(1), pages 173-186, January.
    3. Raphael Boleslavsky & Christopher Cotton, 2015. "Grading Standards and Education Quality," American Economic Journal: Microeconomics, American Economic Association, vol. 7(2), pages 248-279, May.
    4. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, April.
    5. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
    6. Li, Fei & Norman, Peter, 2018. "On Bayesian persuasion with multiple senders," Economics Letters, Elsevier, vol. 170(C), pages 66-70.
    7. Simon, Leo K & Zame, William R, 1990. "Discontinuous Games and Endogenous Sharing Rules," Econometrica, Econometric Society, vol. 58(4), pages 861-872, July.
    8. Attar, Andrea & Campioni, Eloisa & Piaser, Gwenaël, 2018. "On competing mechanisms under exclusive competition," Games and Economic Behavior, Elsevier, vol. 111(C), pages 1-15.
    9. Peters, Michael, 2001. "Common Agency and the Revelation Principle," Econometrica, Econometric Society, vol. 69(5), pages 1349-1372, September.
    10. David Martimort & Lars Stole, 2002. "The Revelation and Delegation Principles in Common Agency Games," Econometrica, Econometric Society, vol. 70(4), pages 1659-1673, July.
    11. Carmona, Guilherme & Fajardo, José, 2009. "Existence of equilibrium in common agency games with adverse selection," Games and Economic Behavior, Elsevier, vol. 66(2), pages 749-760, July.
    12. Miquel Oliu-Barton, 2018. "The Splitting Game: Value and Optimal Strategies," Dynamic Games and Applications, Springer, vol. 8(1), pages 157-179, March.
    13. Lewis, Tracy R & Sappington, David E M, 1994. "Supplying Information to Facilitate Price Discrimination," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(2), pages 309-327, May.
    14. Rubinstein, Ariel, 1989. "The Electronic Mail Game: Strategic Behavior under "Almost Common Knowledge."," American Economic Review, American Economic Association, vol. 79(3), pages 385-391, June.
    15. Eliaz, Kfir & Forges, Françoise, 2015. "Information disclosure to Cournot duopolists," Economics Letters, Elsevier, vol. 126(C), pages 167-170.
    16. Kfir Eliaz & Roberto Serrano, 2014. "Sending information to interactive receivers playing a generalized prisoners’ dilemma," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(2), pages 245-267, May.
    17. Han, Seungjin, 2007. "Strongly robust equilibrium and competing-mechanism games," Journal of Economic Theory, Elsevier, vol. 137(1), pages 610-626, November.
    18. Matthew Gentzkow & Emir Kamenica, 2017. "Competition in Persuasion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(1), pages 300-322.
    19. Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
    20. repec:dau:papers:123456789/14456 is not listed on IDEAS
    21. Paul R. Milgrom & Robert J. Weber, 1985. "Distributional Strategies for Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 10(4), pages 619-632, November.
    22. Bergemann, Dirk & Morris, Stephen, 2016. "Bayes correlated equilibrium and the comparison of information structures in games," Theoretical Economics, Econometric Society, vol. 11(2), May.
    23. Laurent Mathevet & Jacopo Perego & Ina Taneva, 2020. "On Information Design in Games," Journal of Political Economy, University of Chicago Press, vol. 128(4), pages 1370-1404.
    24. Mariotti, Thomas, 2000. "Subgame-perfect equilibrium outcomes in continuous games of almost perfect information1," Journal of Mathematical Economics, Elsevier, vol. 34(1), pages 99-128, August.
    25. Rida Laraki & Jérôme Renault, 2020. "Acyclic Gambling Games," Mathematics of Operations Research, INFORMS, vol. 45(4), pages 1237-1257, November.
    26. Harris, Christopher & Reny, Philip & Robson, Arthur, 1995. "The Existence of Subgame-Perfect Equilibrium in Continuous Games with Almost Perfect Information: A Case for Public Randomization," Econometrica, Econometric Society, vol. 63(3), pages 507-544, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Attar, Andrea & Campioni, Eloisa & Piaser, Gwenaël, 2019. "Private communication in competing mechanism games," Journal of Economic Theory, Elsevier, vol. 183(C), pages 258-283.
    2. Koessler, Frederic & Laclau, Marie & Renault, Jérôme & Tomala, Tristan, 2022. "Long information design," Theoretical Economics, Econometric Society, vol. 17(2), May.
    3. Renou, Ludovic & Atakan, Alp & Ekmekci, Mehmet, 2021. "Cross-verification and Persuasive Cheap Talk," CEPR Discussion Papers 16801, C.E.P.R. Discussion Papers.
    4. Ju Hu & Xi Weng, 2021. "Robust persuasion of a privately informed receiver," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(3), pages 909-953, October.
    5. Rida Laraki & Jérôme Renault, 2020. "Acyclic Gambling Games," Mathematics of Operations Research, INFORMS, vol. 45(4), pages 1237-1257, November.

    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. Tomala, Tristan & Koessler, Frederic & Laclau, Marie, 2018. "Interactive Information Design," HEC Research Papers Series 1260, HEC Paris, revised 02 May 2018.
    2. Koessler, Frederic & Laclau, Marie & Renault, Jérôme & Tomala, Tristan, 2022. "Long information design," Theoretical Economics, Econometric Society, vol. 17(2), May.
    3. Frédéric Koessler & Marie Laclau & Jerôme Renault & Tristan Tomala, 2022. "Long information design," Post-Print hal-03700394, HAL.
    4. Frédéric Koessler & Marie Laclau & Jerôme Renault & Tristan Tomala, 2022. "Long information design," PSE-Ecole d'économie de Paris (Postprint) hal-03700394, HAL.
    5. Li, Fei & Song, Yangbo & Zhao, Mofei, 2023. "Global manipulation by local obfuscation," Journal of Economic Theory, Elsevier, vol. 207(C).
    6. Dirk Bergemann & Stephen Morris, 2019. "Information Design: A Unified Perspective," Journal of Economic Literature, American Economic Association, vol. 57(1), pages 44-95, March.
    7. Attar, Andrea & Campioni, Eloisa & Piaser, Gwenaël, 2018. "On competing mechanisms under exclusive competition," Games and Economic Behavior, Elsevier, vol. 111(C), pages 1-15.
    8. Hiroto Sato, 2023. "Robust implementation in sequential information design under supermodular payoffs and objective," Review of Economic Design, Springer;Society for Economic Design, vol. 27(2), pages 269-285, June.
    9. Attar, Andrea & Campioni, Eloisa & Piaser, Gwenaël, 2019. "Private communication in competing mechanism games," Journal of Economic Theory, Elsevier, vol. 183(C), pages 258-283.
    10. Attar, Andrea & Campioni, Eloisa & Mariotti, Thomas & Piaser, Gwenaël, 2021. "Competing mechanisms and folk theorems: Two examples," Games and Economic Behavior, Elsevier, vol. 125(C), pages 79-93.
    11. Koessler, Frederic & Laclau, Marie & Renault, Jérôme & Tomala, Tristan, 2022. "Long information design," Theoretical Economics, Econometric Society, vol. 17(2), May.
    12. Carmona, Guilherme & Fajardo, José, 2009. "Existence of equilibrium in common agency games with adverse selection," Games and Economic Behavior, Elsevier, vol. 66(2), pages 749-760, July.
    13. Skreta, Vasiliki & Koessler, Frédéric, 2021. "Information Design by an Informed Designer," CEPR Discussion Papers 15709, C.E.P.R. Discussion Papers.
    14. Attar, Andrea & Campioni, Eloisa & Mariotti, Thomas & Pavan, Alessandro, 2021. "Keeping the Agents in the Dark: Private Disclosures in Competing Mechanisms," TSE Working Papers 21-1227, Toulouse School of Economics (TSE), revised Dec 2023.
    15. Andrea Attar & Eloisa Campioni & Gwenael Piaser, 2011. "Information Revelation in Competing Mechanism Games," CEIS Research Paper 205, Tor Vergata University, CEIS, revised 04 Jul 2011.
    16. Martimort, David & Stole, Lars, 2012. "Representing equilibrium aggregates in aggregate games with applications to common agency," Games and Economic Behavior, Elsevier, vol. 76(2), pages 753-772.
    17. Andrea Attar & Eloisa Campioni & Gwenaël Piaser & Uday Rajan, 2012. "Competing mechanism games of moral hazard: communication and robustness," Review of Economic Design, Springer;Society for Economic Design, vol. 16(4), pages 283-296, December.
    18. Han, Seungjin, 2014. "Implicit collusion in non-exclusive contracting under adverse selection," Journal of Economic Behavior & Organization, Elsevier, vol. 99(C), pages 85-95.
    19. P. Jean-Jacques Herings & Dominik Karos & Toygar T. Kerman, 2024. "Belief inducibility and informativeness," Theory and Decision, Springer, vol. 96(4), pages 517-553, June.
    20. Attar, Andrea & Campioni, Eloisa & Piaser, Gwenaël, 2013. "Two-sided communication in competing mechanism games," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 62-70.

    More about this item

    Keywords

    Primary: 91A10; 91A27; Bayes correlated equilibrium; Bayesian persuasion; information design; splitting games; statistical experiments;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    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:inm:ormoor:v:47:y:2022:i:1:p:153-175. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.