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Information Design in Multi-stage Games

Author

Listed:
  • Miltiadis Makris
  • Ludovic Renou

Abstract

This paper generalizes the concept of Bayes correlated equilibrium (Bergemann and Morris, 2016) to multi-stage games. We demonstrate the power of our characterization results by applying them to a number of illustrative examples and applications.

Suggested Citation

  • Miltiadis Makris & Ludovic Renou, 2021. "Information Design in Multi-stage Games," Papers 2102.13482, arXiv.org, revised Apr 2021.
    • Handle: RePEc:arx:papers:2102.13482
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    References listed on IDEAS

    as
    1. Françoise Forges, 2006. "Correlated Equilibrium in Games with Incomplete Information Revisited," Theory and Decision, Springer, vol. 61(4), pages 329-344, December.
    2. Emir Kamenica & Matthew Gentzkow, 2011. "Bayesian Persuasion," American Economic Review, American Economic Association, vol. 101(6), pages 2590-2615, October.
    3. Francesco Giovannoni & Miltiadis Makris, 2014. "Reputational Bidding," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55, pages 693-710, August.
    4. Vasilis Syrgkanis & Elie Tamer & Juba Ziani, 2017. "Inference on Auctions with Weak Assumptions on Information," Papers 1710.03830, arXiv.org, revised Mar 2018.
    5. Bernhard von Stengel & Françoise Forges, 2008. "Extensive-Form Correlated Equilibrium: Definition and Computational Complexity," Mathematics of Operations Research, INFORMS, vol. 33(4), pages 1002-1022, November.
    6. FORGES , Françoise, 1993. "Five Legitimate Definitions of Correlated Equilibrium in Games with Incomplete Information," LIDAM Discussion Papers CORE 1993009, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. Bergemann, Dirk & Morris, Stephen, 2016. "Bayes correlated equilibrium and the comparison of information structures in games," Theoretical Economics, Econometric Society, vol. 11(2), May.
    8. Penta, Antonio, 2015. "Robust dynamic implementation," Journal of Economic Theory, Elsevier, vol. 160(C), pages 280-316.
    9. Renault, Jérôme & Solan, Eilon & Vieille, Nicolas, 2017. "Optimal dynamic information provision," Games and Economic Behavior, Elsevier, vol. 104(C), pages 329-349.
    10. Dirk Bergemann & Benjamin Brooks & Stephen Morris, 2015. "The Limits of Price Discrimination," American Economic Review, American Economic Association, vol. 105(3), pages 921-957, March.
    11. Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-1385, November.
    12. repec:dau:papers:123456789/157 is not listed on IDEAS
    13. Piotr Dworczak, 2020. "Mechanism Design With Aftermarkets: Cutoff Mechanisms," Econometrica, Econometric Society, vol. 88(6), pages 2629-2661, November.
    14. Dirk Bergemann & Stephen Morris, 2019. "Information Design: A Unified Perspective," Journal of Economic Literature, American Economic Association, vol. 57(1), pages 44-95, March.
    15. FORGES, Françoise, 1985. "Correlated equilibria in a class of repeated games with incomplete information," LIDAM Reprints CORE 663, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    16. Myerson, Roger B, 1986. "Multistage Games with Communication," Econometrica, Econometric Society, vol. 54(2), pages 323-358, March.
    17. Giacomo Calzolari & Alessandro Pavan, 2006. "Monopoly with resale," RAND Journal of Economics, RAND Corporation, vol. 37(2), pages 362-375, June.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Frédéric Koessler & Marie Laclau & Jerôme Renault & Tristan Tomala, 2022. "Long information design," Post-Print hal-03700394, HAL.
    2. Koessler, Frederic & Laclau, Marie & Renault, Jérôme & Tomala, Tristan, 2022. "Long information design," Theoretical Economics, Econometric Society, vol. 17(2), May.
    3. Li, Xuelin & Szydlowski, Martin & Yu, Fangyuan, 2025. "Dynamic information design in an entry game," Journal of Economic Theory, Elsevier, vol. 226(C).
    4. Hinnosaar, Toomas, 2024. "Optimal sequential contests," Theoretical Economics, Econometric Society, vol. 19(1), January.
    5. Emiliano Catonini & Antonio Penta, 2024. "Backward Induction Reasoning beyond Backward Induction," Working Papers 1315, Barcelona School of Economics.
    6. Navin Kartik & Weijie Zhong, 2023. "Lemonade from Lemons: Information Design and Adverse Selection," Papers 2305.02994, arXiv.org, revised Sep 2025.
    7. 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.
    8. Koessler, Frederic & Laclau, Marie & Renault, Jérôme & Tomala, Tristan, 2022. "Long information design," Theoretical Economics, Econometric Society, vol. 17(2), May.
    9. Henrique de Oliveira & Rohit Lamba, 2025. "Rationalizing dynamic choices," Papers 2504.05251, arXiv.org.
    10. Forges, Françoise & Ray, Indrajit, 2024. "“Subjectivity and correlation in randomized strategies”: Back to the roots," Journal of Mathematical Economics, Elsevier, vol. 114(C).
    11. Catonini, Emiliano & Penta, Antonio, 2022. "Backward Induction Reasoning beyond Backward Induction," TSE Working Papers 22-1298, Toulouse School of Economics (TSE).
    12. Emiliano Cantonini & Antonio Penta, 2022. "Backward induction reasoning beyond backward induction," Economics Working Papers 1815, Department of Economics and Business, Universitat Pompeu Fabra.
    13. Forges, Françoise & Koessler, Frédéric & Salamanca, Andrés, 2024. "Interacting mechanisms: A perspective on generalized principal–agent problems," Journal of Mathematical Economics, Elsevier, vol. 114(C).
    14. Carmona, Guilherme & Laohakunakorn, Krittanai, 2025. "Monopoly pricing with optimal information," Journal of Economic Theory, Elsevier, vol. 228(C).

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    More about this item

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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