IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v104y2017icp411-429.html
   My bibliography  Save this article

Bayesian persuasion with multiple senders and rich signal spaces

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825617300817
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.geb.2017.05.004?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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, December.
    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.
    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.
    7. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016057.
    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, Oxford University Press, 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.
    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.
    18. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016040.
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Antony Millner & Hélène Ollivier, 2016. "Beliefs, Politics, and Environmental Policy," Review of Environmental Economics and Policy, Association of Environmental and Resource Economists, vol. 10(2), pages 226-244.
    2. Lin Hu & Anqi Li & Ilya Segal, 2019. "The Politics of Personalized News Aggregation," Papers 1910.11405, arXiv.org, revised Nov 2022.
    3. Beauchêne, Dorian & Li, Jian & Li, Ming, 2019. "Ambiguous persuasion," Journal of Economic Theory, Elsevier, vol. 179(C), pages 312-365.
    4. Yang, Jian, 2018. "Game-theoretic modeling of players’ ambiguities on external factors," Journal of Mathematical Economics, Elsevier, vol. 75(C), pages 31-56.
    5. Penélope Hernández & Bernhard von Stengel, 2014. "Nash Codes for Noisy Channels," Operations Research, INFORMS, vol. 62(6), pages 1221-1235, December.
    6. Stéphan Sémirat, 2019. "Strategic information transmission despite conflict," International Journal of Game Theory, Springer;Game Theory Society, vol. 48(3), pages 921-956, September.
    7. Makoto Shimoji, 2016. "Rationalizable Persuasion," Discussion Papers 16/08, Department of Economics, University of York.
    8. Takashi Ui, 2021. "Strategic Ambiguity in Global Games," Working Papers on Central Bank Communication 032, University of Tokyo, Graduate School of Economics.
    9. Lim, Wooyoung, 2014. "Communication in bargaining over decision rights," Games and Economic Behavior, Elsevier, vol. 85(C), pages 159-179.
    10. Anqi Li & Lin Hu, 2020. "Electoral Accountability and Selection with Personalized Information Aggregation," Papers 2009.03761, arXiv.org, revised Apr 2023.
    11. Miura, Shintaro, 2019. "Manipulated news model: Electoral competition and mass media," Games and Economic Behavior, Elsevier, vol. 113(C), pages 306-338.
    12. Wen Xu, 2016. "Estimation of Dynamic Panel Data Models with Stochastic Volatility Using Particle Filters," Econometrics, MDPI, vol. 4(4), pages 1-13, October.
    13. Özgür Orhangazi & A. Erinç Yeldan, 2021. "The Re‐making of the Turkish Crisis," Development and Change, International Institute of Social Studies, vol. 52(3), pages 460-503, May.
    14. Guriev, Sergei & Treisman, Daniel, 2020. "A theory of informational autocracy," Journal of Public Economics, Elsevier, vol. 186(C).
    15. Daron Acemoglu & Gino Gancia & Fabrizio Zilibotti, 2015. "Offshoring and Directed Technical Change," American Economic Journal: Macroeconomics, American Economic Association, vol. 7(3), pages 84-122, July.
    16. Guerini, Mattia & Moneta, Alessio & Napoletano, Mauro & Roventini, Andrea, 2020. "The Janus-Faced Nature Of Debt: Results From A Data-Driven Cointegrated Svar Approach," Macroeconomic Dynamics, Cambridge University Press, vol. 24(1), pages 24-54, January.
    17. Shirai, Daichi, 2016. "Persistence and Amplification of Financial Frictions," MPRA Paper 72187, University Library of Munich, Germany.
    18. Haiwen Zhou, 2018. "Impact of international trade on unemployment under oligopoly," The Journal of International Trade & Economic Development, Taylor & Francis Journals, vol. 27(4), pages 365-379, May.
    19. Benchimol, Jonathan & Ivashchenko, Sergey, 2021. "Switching volatility in a nonlinear open economy," Journal of International Money and Finance, Elsevier, vol. 110(C).
    20. Lefgren, Lars J. & Stoddard, Olga B. & Stovall, John E., 2021. "Rationalizing self-defeating behaviors: Theory and evidence," Journal of Health Economics, Elsevier, vol. 76(C).

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:gamebe:v:104:y:2017:i:c:p:411-429. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.