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Information Payoffs: An Interim Perspective

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  • Smolin, Alex
  • Doval, Laura

Abstract

We study the payoffs that can arise under some information structure from an interim perspective. There is a set of types distributed according to some prior distribution and a payoff function that assigns a value to each pair of a type and a belief over the types. Any information structure induces an interim payoff profile which describes, for each type, the expected payoff under the information structure conditional on the type. We characterize the set of all interim payoff profiles consistent with some information structure. We illustrate our results through applications.

Suggested Citation

  • Smolin, Alex & Doval, Laura, 2021. "Information Payoffs: An Interim Perspective," TSE Working Papers 21-1247, Toulouse School of Economics (TSE).
  • Handle: RePEc:tse:wpaper:125927
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    1. 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.
    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. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, April.
    4. Jean Tirole & Roland Bénabou, 2006. "Incentives and Prosocial Behavior," American Economic Review, American Economic Association, vol. 96(5), pages 1652-1678, December.
    5. Laura Doval & Vasiliki Skreta, 2022. "Mechanism Design With Limited Commitment," Econometrica, Econometric Society, vol. 90(4), pages 1463-1500, July.
    6. Emir Kamenica & Matthew Gentzkow, 2011. "Bayesian Persuasion," American Economic Review, American Economic Association, vol. 101(6), pages 2590-2615, October.
    7. Eduardo Perez‐Richet & Vasiliki Skreta, 2022. "Test Design Under Falsification," Econometrica, Econometric Society, vol. 90(3), pages 1109-1142, May.
    8. Jonathan Libgober, 2021. "Identifying Wisdom (of the Crowd): A Regression Approach," Papers 2105.07097, arXiv.org, revised Apr 2023.
    9. Guillaume R. Fréchette & Alessandro Lizzeri & Jacopo Perego, 2022. "Rules and Commitment in Communication: An Experimental Analysis," Econometrica, Econometric Society, vol. 90(5), pages 2283-2318, September.
    10. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
    11. Luis Rayo & Ilya Segal, 2010. "Optimal Information Disclosure," Journal of Political Economy, University of Chicago Press, vol. 118(5), pages 949-987.
    12. Frédéric Koessler & Vasiliki Skreta, 2023. "Informed Information Design," Journal of Political Economy, University of Chicago Press, vol. 131(11), pages 3186-3232.
    13. Elliot Lipnowski & Doron Ravid, 2020. "Cheap Talk With Transparent Motives," Econometrica, Econometric Society, vol. 88(4), pages 1631-1660, July.
    14. Michael Ostrovsky & Michael Schwarz, 2010. "Information Disclosure and Unraveling in Matching Markets," American Economic Journal: Microeconomics, American Economic Association, vol. 2(2), pages 34-63, May.
    15. repec:hal:spmain:info:hdl:2441/31aa5v8jtp9p48jlhrq44psjoa is not listed on IDEAS
    16. Hart, Sergiu & Rinott, Yosef, 2020. "Posterior probabilities: Dominance and optimism," Economics Letters, Elsevier, vol. 194(C).
    17. repec:hal:wpspec:info:hdl:2441/31aa5v8jtp9p48jlhrq44psjoa is not listed on IDEAS
    18. Alonso, Ricardo & Câmara, Odilon, 2016. "Bayesian persuasion with heterogeneous priors," Journal of Economic Theory, Elsevier, vol. 165(C), pages 672-706.
    19. Salamanca, Andrés, 2021. "The value of mediated communication," Journal of Economic Theory, Elsevier, vol. 192(C).
    20. Eduardo Perez-Richet, 2014. "Interim Bayesian Persuasion: First Steps," American Economic Review, American Economic Association, vol. 104(5), pages 469-474, May.
    21. Rosar, Frank, 2017. "Test design under voluntary participation," Games and Economic Behavior, Elsevier, vol. 104(C), pages 632-655.
    22. Arijit Mukherjee, 2008. "Sustaining implicit contracts when agents have career concerns: the role of information disclosure," RAND Journal of Economics, RAND Corporation, vol. 39(2), pages 469-490, June.
    23. Samet, Dov, 1998. "Iterated Expectations and Common Priors," Games and Economic Behavior, Elsevier, vol. 24(1-2), pages 131-141, July.
    24. , & Frechette, Guilaume & Perego, Jacopo, 2019. "Rules and Commitment in Communication," CEPR Discussion Papers 14085, C.E.P.R. Discussion Papers.
    25. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796.
    26. Skreta, Vasiliki & Koessler, Frédéric, 2021. "Information Design by an Informed Designer," CEPR Discussion Papers 15709, C.E.P.R. Discussion Papers.
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    Cited by:

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    2. Shota Ichihashi & Alex Smolin, 2022. "Data Provision to an Informed Seller," Papers 2204.08723, arXiv.org, revised Mar 2023.

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