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Communication Equilibria with Partially Verifiable Types

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  • F. Forges
  • Frederic Koessler

Abstract

This paper studies the set of equilibria that can be achieved by adding general communication systems to Bayesian games in which some information can be certified or, equivalently, in which players' types are partially verifiable. Certifiability of information is formalized by a set of available reports for each player that varies with the true state of the world. Given these state-dependent sets of reports, we characterize canonical equilibria for which generalized versions of the revelation principle are valid. Communication equilibria and associated canonical representations are obtained as special cases when no information can be certified.

Suggested Citation

  • F. Forges & Frederic Koessler, 2003. "Communication Equilibria with Partially Verifiable Types," THEMA Working Papers 2003-10, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  • Handle: RePEc:ema:worpap:2003-10
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    References listed on IDEAS

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    Citations

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    Cited by:

    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 & Stephen Morris, 2011. "Correlated Equilibrium in Games with Incomplete Information," Cowles Foundation Discussion Papers 1822, Cowles Foundation for Research in Economics, Yale University.
    3. Ingela Alger & Régis Renault, 2006. "Screening Ethics When Honest Agents Care About Fairness ," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(1), pages 59-85, February.
    4. Hahn, Volker, 2011. "Sequential aggregation of verifiable information," Journal of Public Economics, Elsevier, vol. 95(11), pages 1447-1454.
    5. Dirk Bergemann & Stephen Morris, 2017. "Information Design: A Unified Perspective," Working Papers 089_2017, Princeton University, Department of Economics, Econometric Research Program..
    6. Wagner, P.Achim, 2011. "Unmediated communication with partially verifiable types," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 99-107, January.
    7. Bull, Jesse & Watson, Joel, 2007. "Hard evidence and mechanism design," Games and Economic Behavior, Elsevier, vol. 58(1), pages 75-93, January.
    8. Jeanne Hagenbach & Frédéric Koessler & Eduardo Perez-Richet, 2012. "Certifiable Pre-Play Communication: Full Disclosure," Working Papers hal-00753473, HAL.
    9. Ingela Alger & Régis Renault, 2007. "Screening Ethics when Honest Agents Keep their Word," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(2), pages 291-311, February.
    10. Forges, Françoise & Koessler, Frédéric, 2008. "Long persuasion games," Journal of Economic Theory, Elsevier, vol. 143(1), pages 1-35, November.
    11. Elchanan Ben-Porath & Eddie Dekel & Barton L. Lipman, 2014. "Disclosure and Choice," Boston University - Department of Economics - Working Papers Series WP2017-002, Boston University - Department of Economics, revised Jan 2017.
    12. Sher, Itai & Vohra, Rakesh, 2015. "Price discrimination through communication," Theoretical Economics, Econometric Society, vol. 10(2), May.
    13. Dirk Bergemann & Stephen Morris, 2013. "Bayes Correlated Equilibrium and the Comparison of Information Structures," Levine's Working Paper Archive 786969000000000725, David K. Levine.
    14. Ben-Porath, Elchanan & Lipman, Barton L., 2012. "Implementation with partial provability," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1689-1724.
    15. Françoise Forges, 2006. "Feasible Mechanisms in Economies with Type-Dependent Endowments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 403-419, April.
    16. Hedlund, Jonas, 2015. "Persuasion with communication costs," Games and Economic Behavior, Elsevier, vol. 92(C), pages 28-40.
    17. Jeanne Hagenbach & Frédéric Koessler, 2008. "Strategic communication networks," Working Papers halshs-00586847, HAL.
    18. Koessler, Frédéric, 2008. "Lobbying with two audiences: Public vs private certification," Mathematical Social Sciences, Elsevier, vol. 55(3), pages 305-314, May.
    19. Deneckere, Raymond & Severinov, Sergei, 2008. "Mechanism design with partial state verifiability," Games and Economic Behavior, Elsevier, vol. 64(2), pages 487-513, November.
    20. Jeanne Hagenbach & Frédéric Koessler & Eduardo Perez‐Richet, 2014. "Certifiable Pre‐Play Communication: Full Disclosure," Econometrica, Econometric Society, vol. 82(3), pages 1093-1131, May.
    21. Jeanne Hagenbach & Frédéric Koessler & Eduardo Perez‐Richet, 2014. "Certifiable Pre‐Play Communication: Full Disclosure," Econometrica, Econometric Society, vol. 82(3), pages 1093-1131, May.
    22. Aurélie Slechten, 2015. "Environmental agreements under asymmetric information," Working Papers 95042257, Lancaster University Management School, Economics Department.
    23. Elchanan Ben-Porath & Barton L. Lipman, 2009. "Implementation and Partial Provability," Boston University - Department of Economics - Working Papers Series wp2009-002, Boston University - Department of Economics.

    More about this item

    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

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