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Noisy persuasion

Author

Listed:
  • Tsakas, Elias
  • Tsakas, Nikolas
Abstract
We study the effect of noise due to exogenous information distortions in the context of Bayesian persuasion. We first characterize the optimal signal in the prosecutor-judge game from Kamenica and Gentzkow (2011) with a noisy and strongly symmetric communication channel and show that the sender's payoff increases in the number of messages. This implies that, with exogenous noise, the sender prefers to complicate communication. Then, we establish necessary and sufficient conditions for the sender's payoff to weakly increase in the Blackwell-informativeness of the noise channel when the message space and the channel are binary. The reason why a sender may benefit from additional noise is that a garbling may alter the noise structure. Subsequently, we provide sufficient conditions that extend this result to channels of arbitrary cardinality. Finally, we introduce a procedure of making a communication channel more complex and prove that increased complexity benefits the sender.

Suggested Citation

  • Tsakas, Elias & Tsakas, Nikolas, 2021. "Noisy persuasion," Games and Economic Behavior, Elsevier, vol. 130(C), pages 44-61.
    • Handle: RePEc:eee:gamebe:v:130:y:2021:i:c:p:44-61
    DOI: 10.1016/j.geb.2021.08.001
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    1. Lipnowski, Elliot & Mathevet, Laurent & Wei, Dong, 2022. "Optimal attention management: A tractable framework," Games and Economic Behavior, Elsevier, vol. 133(C), pages 170-180.
    2. Penélope Hernández & Bernhard von Stengel, 2014. "Nash Codes for Noisy Channels," Operations Research, INFORMS, vol. 62(6), pages 1221-1235, December.
    3. Hedlund, Jonas, 2017. "Bayesian persuasion by a privately informed sender," Journal of Economic Theory, Elsevier, vol. 167(C), pages 229-268.
    4. Sobel, Joel, 2013. "Ten possible experiments on communication and deception," Journal of Economic Behavior & Organization, Elsevier, vol. 93(C), pages 408-413.
    5. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, April.
    6. Emir Kamenica & Matthew Gentzkow, 2011. "Bayesian Persuasion," American Economic Review, American Economic Association, vol. 101(6), pages 2590-2615, October.
    7. Guembel, Alexander & Rossetto, Silvia, 2009. "Reputational cheap talk with misunderstanding," Games and Economic Behavior, Elsevier, vol. 67(2), pages 736-744, November.
    8. Anton Kolotilin & Tymofiy Mylovanov & Andriy Zapechelnyuk & Ming Li, 2017. "Persuasion of a Privately Informed Receiver," Econometrica, Econometric Society, vol. 85(6), pages 1949-1964, November.
    9. Ina Taneva, 2019. "Information Design," American Economic Journal: Microeconomics, American Economic Association, vol. 11(4), pages 151-185, November.
    10. Andrew Schotter & Isabel Trevino, 2014. "Belief Elicitation in the Laboratory," Annual Review of Economics, Annual Reviews, vol. 6(1), pages 103-128, August.
    11. Pedro Landeras & J. M. Pérez de Villarreal, 2005. "A Noisy Screening Model of Education," LABOUR, CEIS, vol. 19(1), pages 35-54, March.
    12. Eduardo Perez‐Richet & Vasiliki Skreta, 2022. "Test Design Under Falsification," Econometrica, Econometric Society, vol. 90(3), pages 1109-1142, May.
    13. Alex Frankel & Navin Kartik, 2022. "Improving Information from Manipulable Data," Journal of the European Economic Association, European Economic Association, vol. 20(1), pages 79-115.
    14. Nguyen, Anh & Tan, Teck Yong, 2021. "Bayesian persuasion with costly messages," Journal of Economic Theory, Elsevier, vol. 193(C).
    15. Nicola Gennaioli & Giacomo A. M. Ponzetto, 2015. "Optimally vague contracts and the law," Economics Working Papers 1410, Department of Economics and Business, Universitat Pompeu Fabra, revised Jan 2017.
    16. Luis Rayo & Ilya Segal, 2010. "Optimal Information Disclosure," Journal of Political Economy, University of Chicago Press, vol. 118(5), pages 949-987.
    17. Le Treust, Maël & Tomala, Tristan, 2018. "Information-Theoretic Limits of Strategic Communication," HEC Research Papers Series 1288, HEC Paris.
    18. Guo, Yingni & Shmaya, Eran, 2021. "Costly miscalibration," Theoretical Economics, Econometric Society, vol. 16(2), May.
    19. Elliot Lipnowski & Laurent Mathevet & Dong Wei, 2020. "Attention Management," American Economic Review: Insights, American Economic Association, vol. 2(1), pages 17-32, March.
    20. Isabelle Brocas & Juan D. Carrillo, 2007. "Influence through ignorance," RAND Journal of Economics, RAND Corporation, vol. 38(4), pages 931-947, December.
    21. 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.
    22. Ricardo Alonso & Odilon Câmara, 2016. "Persuading Voters," American Economic Review, American Economic Association, vol. 106(11), pages 3590-3605, November.
    23. Ivanov, Maxim, 2010. "Communication via a strategic mediator," Journal of Economic Theory, Elsevier, vol. 145(2), pages 869-884, March.
    24. Sobel, Joel, 2013. "Ten possible experiments on communication and deception," University of California at San Diego, Economics Working Paper Series qt53w1f0w4, Department of Economics, UC San Diego.
    25. Elias Tsakas & Nikolas Tsakas & Dimitrios Xefteris, 2021. "Resisting persuasion," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(3), pages 723-742, October.
    26. Matthew Gentzkow & Emir Kamenica, 2016. "A Rothschild-Stiglitz Approach to Bayesian Persuasion," American Economic Review, American Economic Association, vol. 106(5), pages 597-601, May.
    27. Bergemann, Dirk & Morris, Stephen, 2016. "Bayes correlated equilibrium and the comparison of information structures in games," Theoretical Economics, Econometric Society, vol. 11(2), May.
    28. Emir Kamenica, 2019. "Bayesian Persuasion and Information Design," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 249-272, August.
    29. Blume, Andreas, 2012. "A class of strategy-correlated equilibria in sender–receiver games," Games and Economic Behavior, Elsevier, vol. 75(2), pages 510-517.
    30. Le Treust, Maël & Tomala, Tristan, 2019. "Persuasion with limited communication capacity," Journal of Economic Theory, Elsevier, vol. 184(C).
    31. Wouter Dessein, 2002. "Authority and Communication in Organizations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(4), pages 811-838.
    32. Alonso, Ricardo & Câmara, Odilon, 2016. "Bayesian persuasion with heterogeneous priors," Journal of Economic Theory, Elsevier, vol. 165(C), pages 672-706.
    33. Goltsman, Maria & Hörner, Johannes & Pavlov, Gregory & Squintani, Francesco, 2009. "Mediation, arbitration and negotiation," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1397-1420, July.
    34. Yun Wang, 2015. "Bayesian Persuasion with Multiple Receivers," Working Papers 2015-03-24, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
    35. Eduardo Perez-Richet, 2014. "Interim Bayesian Persuasion: First Steps," American Economic Review, American Economic Association, vol. 104(5), pages 469-474, May.
    36. , & , M. & ,, 2013. "Hierarchical cheap talk," Theoretical Economics, Econometric Society, vol. 8(1), January.
    37. Koessler, Frederic, 2001. "Common knowledge and consensus with noisy communication," Mathematical Social Sciences, Elsevier, vol. 42(2), pages 139-159, September.
    38. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796.
    39. Jacob Glazer & Ariel Rubinstein, 2004. "On Optimal Rules of Persuasion," Econometrica, Econometric Society, vol. 72(6), pages 1715-1736, November.
    40. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
    41. repec:hal:spmain:info:hdl:2441/17ekir5v8r8l6qbj0nnrfv4k2h is not listed on IDEAS
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    Cited by:

    1. Jérôme Mathis & Marcello Puca & Simone M. Sepe, 2021. "Deliberative Institutions and Optimality," CSEF Working Papers 614, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy, revised 09 Jun 2021.
    2. Kerman, Toygar & Herings, P. Jean-Jacques & Karos, Dominik, 2020. "Persuading Strategic Voters," Research Memorandum 004, Maastricht University, Graduate School of Business and Economics (GSBE).
    3. Elias Tsakas & Nikolas Tsakas & Dimitrios Xefteris, 2021. "Resisting persuasion," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(3), pages 723-742, October.
    4. Yunus C. Aybas & Eray Turkel, 2019. "Persuasion with Coarse Communication," Papers 1910.13547, arXiv.org, revised May 2024.

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    More about this item

    Keywords

    Bayesian persuasion; Noisy channel; Data distortions; Garbling; Complexity;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • K40 - Law and Economics - - Legal Procedure, the Legal System, and Illegal Behavior - - - General
    • M31 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Marketing and Advertising - - - Marketing

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