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Bayesian persuasion with multiple senders and rich signal spaces

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  • Gentzkow, Matthew
  • Kamenica, Emir

Abstract

A number of senders with no ex ante private information publicly choose signals whose realizations they observe privately. Senders then convey verifiable messages about their signal realizations to a receiver who takes a non-contractible action that affects the welfare of all players. The space of available signals includes all conditional distributions of signal realizations and allows any sender to choose a signal that is arbitrarily correlated with signals of others. We characterize the information revealed in pure-strategy equilibria and show that greater competition tends to increase the amount of information revealed.

Suggested Citation

  • Gentzkow, Matthew & Kamenica, Emir, 2017. "Bayesian persuasion with multiple senders and rich signal spaces," Games and Economic Behavior, Elsevier, vol. 104(C), pages 411-429.
    • Handle: RePEc:eee:gamebe:v:104:y:2017:i:c:p:411-429
    DOI: 10.1016/j.geb.2017.05.004
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    References listed on IDEAS

    as
    1. Marco Battaglini, 2002. "Multiple Referrals and Multidimensional Cheap Talk," Econometrica, Econometric Society, vol. 70(4), pages 1379-1401, July.
    2. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, April.
    3. Emir Kamenica & Matthew Gentzkow, 2011. "Bayesian Persuasion," American Economic Review, American Economic Association, vol. 101(6), pages 2590-2615, October.
    4. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016064, September.
    5. Hyun Song Shin, 1998. "Adversarial and Inquisitorial Procedures in Arbitration," RAND Journal of Economics, The RAND Corporation, vol. 29(2), pages 378-405, Summer.
    6. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107638105, September.
    7. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016057, September.
    8. Matthew Gentzkow & Emir Kamenica, 2017. "Disclosure of endogenous information," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 47-56, April.
    9. Vijay Krishna & John Morgan, 2001. "A Model of Expertise," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(2), pages 747-775.
    10. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107674165, September.
    11. Matthew Gentzkow & Emir Kamenica, 2017. "Competition in Persuasion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(1), pages 300-322.
    12. Paul Milgrom & John Roberts, 1986. "Relying on the Information of Interested Parties," RAND Journal of Economics, The RAND Corporation, vol. 17(1), pages 18-32, Spring.
    13. Isabelle Brocas & Juan Carrillo & Thomas Palfrey, 2012. "Information gatekeepers: theory and experimental evidence," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(3), pages 649-676, November.
    14. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    15. Faruk Gul & Wolfgang Pesendorfer, 2012. "The War of Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(2), pages 707-734.
      • Gul, Faruk & Pesendorfer, Wolfgang, 2010. "The War of Information," Papers 9-13-2010, Princeton University, Research Program in Political Economy.
    16. Marco Scarsini & Alfred Muller, 2006. "Stochastic order relations and lattices of probability measures," Post-Print hal-00539119, HAL.
    17. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107627314, September.
    18. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016040, September.
    19. repec:oup:restud:v:84:y::i:1:p:300-322. is not listed on IDEAS
    20. Donald M. Topkis, 1978. "Minimizing a Submodular Function on a Lattice," Operations Research, INFORMS, vol. 26(2), pages 305-321, April.
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    More about this item

    Keywords

    Communication; Collusion; Information revelation;
    All these keywords.

    JEL classification:

    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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