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On Information Design in Games

Author

Listed:
  • Laurent Mathevet
  • Jacopo Perego
  • Ina Taneva

Abstract

Information provision in games influences behavior by affecting agents’ beliefs about the state as well as their higher-order beliefs. We first characterize the extent to which a designer can manipulate agents’ beliefs by disclosing information. We then describe the structure of optimal belief distributions, including a concave-envelope representation that subsumes the single-agent result of Kamenica and Gentzkow. This result holds under various solution concepts and outcome selection rules. Finally, we use our approach to compute an optimal information structure in an investment game under adversarial equilibrium selection.

Suggested Citation

  • 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.
  • Handle: RePEc:ucp:jpolec:doi:10.1086/705332
    DOI: 10.1086/705332
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    Cited by:

    1. Dirk Bergemann & Stephen Morris, 2019. "Information Design: A Unified Perspective," Journal of Economic Literature, American Economic Association, vol. 57(1), pages 44-95, March.
    2. Roweno J. R. K. Heijmans, 2023. "Unraveling Coordination Problems," Papers 2307.08557, arXiv.org, revised Aug 2023.
    3. Frédéric Koessler & Marie Laclau & Tristan Tomala, 2022. "Interactive Information Design," Mathematics of Operations Research, INFORMS, vol. 47(1), pages 153-175, February.
    4. Li, Fei & Song, Yangbo & Zhao, Mofei, 2023. "Global manipulation by local obfuscation," Journal of Economic Theory, Elsevier, vol. 207(C).
    5. Chen, Yi-Chun & Yang, Xiangqian, 2023. "Information design in optimal auctions," Journal of Economic Theory, Elsevier, vol. 212(C).
    6. Frédéric Koessler & Vasiliki Skreta, 2023. "Informed Information Design," Journal of Political Economy, University of Chicago Press, vol. 131(11), pages 3186-3232.
    7. Skreta, Vasiliki & Koessler, Frédéric, 2021. "Information Design by an Informed Designer," CEPR Discussion Papers 15709, C.E.P.R. Discussion Papers.
    8. Carl Heese & Stephan Lauermann, 2021. "Persuasion and Information Aggregation in Elections," ECONtribute Discussion Papers Series 112, University of Bonn and University of Cologne, Germany.
    9. Itai Arieli & Yakov Babichenko & Fedor Sandomirskiy, 2023. "Persuasion as Transportation," Papers 2307.07672, arXiv.org.
    10. Koessler, Frederic & Laclau, Marie & Renault, Jérôme & Tomala, Tristan, 2022. "Long information design," Theoretical Economics, Econometric Society, vol. 17(2), May.
    11. Masaki Miyashita & Takashi Ui, 2023. "LQG Information Design," Papers 2312.09479, arXiv.org.
    12. Kevin He & Fedor Sandomirskiy & Omer Tamuz, 2021. "Private Private Information," Papers 2112.14356, arXiv.org, revised Jun 2023.
    13. Chen, Zhuoqiong, 2021. "Optimal information exchange in contests," Journal of Mathematical Economics, Elsevier, vol. 96(C).
    14. Feng, Xin, 2020. "Information disclosure on the contest mechanism," Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 148-156.
    15. Takashi Ui, 2020. "LQG Information Design," Working Papers on Central Bank Communication 018, University of Tokyo, Graduate School of Economics.
    16. Frederic Koessler & Marco Scarsini & Tristan Tomala, 2021. "Correlated Equilibria in Large Anonymous Bayesian Games," Papers 2107.06312, arXiv.org, revised Sep 2023.
    17. Jonas Hedlund & Allan Hernández-Chanto & Carlos Oyarzún, 2021. "Contagion Management through Information Disclosure," Discussion Papers Series 651, School of Economics, University of Queensland, Australia.
    18. Goldstein, Itay & Leitner, Yaron, 2018. "Stress tests and information disclosure," Journal of Economic Theory, Elsevier, vol. 177(C), pages 34-69.
    19. Frédéric Koessler & Marie Laclau & Jerôme Renault & Tristan Tomala, 2022. "Long information design," Post-Print hal-03700394, HAL.
    20. 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.
    21. 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.
    22. Bardhi, Arjada & Guo, Yingni, 2018. "Modes of persuasion toward unanimous consent," Theoretical Economics, Econometric Society, vol. 13(3), September.
    23. Tomala, Tristan & Koessler, Frederic & Laclau, Marie, 2018. "Interactive Information Design," HEC Research Papers Series 1260, HEC Paris, revised 02 May 2018.
    24. 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.
    25. Frédéric Koessler & Marie Laclau & Jerôme Renault & Tristan Tomala, 2022. "Long information design," PSE-Ecole d'économie de Paris (Postprint) hal-03700394, HAL.

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