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Information design in multi-stage games

Author

Listed:
  • Makris, Miltiadis

    (Department of Economics, University of Essex)

  • Renou, Ludovic

    (School of Economics and Finance, Queen Mary University of London)

Abstract

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

Suggested Citation

  • Makris, Miltiadis & Renou, Ludovic, 2023. "Information design in multi-stage games," Theoretical Economics, Econometric Society, vol. 18(4), November.
    • Handle: RePEc:the:publsh:4769
    as

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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. 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.
    3. Emir Kamenica & Matthew Gentzkow, 2011. "Bayesian Persuasion," American Economic Review, American Economic Association, vol. 101(6), pages 2590-2615, October.
    4. Dirk Bergemann & Stephen Morris, 2019. "Information Design: A Unified Perspective," Journal of Economic Literature, American Economic Association, vol. 57(1), pages 44-95, March.
    5. Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-1385, November.
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    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. 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.
    9. Giacomo Calzolari & Alessandro Pavan, 2006. "Monopoly with resale," RAND Journal of Economics, RAND Corporation, vol. 37(2), pages 362-375, June.
    10. 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.
    11. Penta, Antonio, 2015. "Robust dynamic implementation," Journal of Economic Theory, Elsevier, vol. 160(C), pages 280-316.
    12. Myerson, Roger B, 1986. "Multistage Games with Communication," Econometrica, Econometric Society, vol. 54(2), pages 323-358, March.
    13. Renault, Jérôme & Solan, Eilon & Vieille, Nicolas, 2017. "Optimal dynamic information provision," Games and Economic Behavior, Elsevier, vol. 104(C), pages 329-349.
    14. 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).
    15. Piotr Dworczak, 2020. "Mechanism Design With Aftermarkets: Cutoff Mechanisms," Econometrica, Econometric Society, vol. 88(6), pages 2629-2661, November.
    16. Vasilis Syrgkanis & Elie Tamer & Juba Ziani, 2017. "Inference on Auctions with Weak Assumptions on Information," Papers 1710.03830, arXiv.org, revised Mar 2018.
    17. 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).
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Koessler, Frederic & Laclau, Marie & Renault, Jérôme & Tomala, Tristan, 2022. "Long information design," Theoretical Economics, Econometric Society, vol. 17(2), May.
    2. Forges, Françoise & Ray, Indrajit, 2024. "“Subjectivity and correlation in randomized strategies”: Back to the roots," Journal of Mathematical Economics, Elsevier, vol. 114(C).
    3. Navin Kartik & Weijie Zhong, 2023. "Lemonade from Lemons: Information Design and Adverse Selection," Papers 2305.02994, arXiv.org.
    4. Koessler, Frederic & Laclau, Marie & Renault, Jérôme & Tomala, Tristan, 2022. "Long information design," Theoretical Economics, Econometric Society, vol. 17(2), May.
    5. Forges, Françoise & Koessler, Frédéric & Salamanca, Andrés, 2024. "Interacting mechanisms: A perspective on generalized principal–agent problems," Journal of Mathematical Economics, Elsevier, vol. 114(C).
    6. Catonini, Emiliano & Penta, Antonio, 2022. "Backward Induction Reasoning beyond Backward Induction," TSE Working Papers 22-1298, Toulouse School of Economics (TSE).
    7. Emiliano Catonini & Antonio Penta, 2022. "Backward Induction Reasoning beyond Backward Induction," Working Papers 1315, Barcelona School of Economics.
    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. Emiliano Cantonini & Antonio Penta, 2022. "Backward induction reasoning beyond backward induction," Economics Working Papers 1815, Department of Economics and Business, Universitat Pompeu Fabra.

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    More about this item

    Keywords

    Multi-stage games; information design; communication equilibrium; sequential communication equilibrium; information structures; Bayes correlated equilibrium; revelation principle;
    All these keywords.

    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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