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Competition in Costly Talk

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  • Federico Vaccari

Abstract

This paper studies a communication game between an uninformed decision maker and two perfectly informed senders with conflicting interests. Senders can misreport information at a cost that increases with the size of the misrepresentation. The main results show that equilibria where the decision maker obtains the complete-information payoff hinge on beliefs with undesirable properties. The imposition of a minimal and sensible belief structure is sufficient to generate a robust and essentially unique equilibrium with partial information transmission. A complete characterization of this equilibrium unveils the language senders use to communicate.

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  • Federico Vaccari, 2021. "Competition in Costly Talk," Papers 2103.05317, arXiv.org, revised Apr 2023.
  • Handle: RePEc:arx:papers:2103.05317
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    1. Christian Schultz, 1996. "Polarization and Inefficient Policies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(2), pages 331-344.
    2. Battaglini Marco, 2004. "Policy Advice with Imperfectly Informed Experts," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 4(1), pages 1-34, April.
    3. Helmut Bester & Juri Demuth, 2015. "Signalling Rivalry and Quality Uncertainty in a Duopoly," Journal of Industry, Competition and Trade, Springer, vol. 15(2), pages 135-154, June.
    4. Winand Emons & Claude Fluet, 2019. "Strategic communication with reporting costs," Theory and Decision, Springer, vol. 87(3), pages 341-363, October.
    5. Milgrom, Paul & Roberts, John, 1982. "Limit Pricing and Entry under Incomplete Information: An Equilibrium Analysis," Econometrica, Econometric Society, vol. 50(2), pages 443-459, March.
    6. Marco Battaglini, 2002. "Multiple Referrals and Multidimensional Cheap Talk," Econometrica, Econometric Society, vol. 70(4), pages 1379-1401, July.
    7. Fluet, Claude & Garella, Paolo G., 2002. "Advertising and prices as signals of quality in a regime of price rivalry," International Journal of Industrial Organization, Elsevier, vol. 20(7), pages 907-930, September.
    8. Mailath George J. & Okuno-Fujiwara Masahiro & Postlewaite Andrew, 1993. "Belief-Based Refinements in Signalling Games," Journal of Economic Theory, Elsevier, vol. 60(2), pages 241-276, August.
    9. Matthew Gentzkow & Jesse M. Shapiro, 2008. "Competition and Truth in the Market for News," Journal of Economic Perspectives, American Economic Association, vol. 22(2), pages 133-154, Spring.
    10. Kyle Bagwell & Garey Ramey, 1991. "Oligopoly Limit Pricing," RAND Journal of Economics, The RAND Corporation, vol. 22(2), pages 155-172, Summer.
    11. Daughety, Andrew F. & Reinganum, Jennifer F., 2007. "Competition and confidentiality: Signaling quality in a duopoly when there is universal private information," Games and Economic Behavior, Elsevier, vol. 58(1), pages 94-120, January.
    12. Chen, Ying, 2011. "Perturbed communication games with honest senders and naive receivers," Journal of Economic Theory, Elsevier, vol. 146(2), pages 401-424, March.
    13. Federico Vaccari, 2023. "Influential news and policy-making," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(4), pages 1363-1418, November.
    14. Callander, Steven & Wilkie, Simon, 2007. "Lies, damned lies, and political campaigns," Games and Economic Behavior, Elsevier, vol. 60(2), pages 262-286, August.
    15. David K. Levine & Andrea Mattozzi, 2022. "Success in contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 595-624, April.
    16. Stergios Skaperdas & Samarth Vaidya, 2012. "Persuasion as a contest," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(2), pages 465-486, October.
    17. Milgrom, Paul & Roberts, John, 1986. "Price and Advertising Signals of Product Quality," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 796-821, August.
    18. Navin Kartik & Frances Xu Lee & Wing Suen, 2021. "Information Validates the Prior: A Theorem on Bayesian Updating and Applications," American Economic Review: Insights, American Economic Association, vol. 3(2), pages 165-182, June.
    19. Michael R. Baye & Dan Kovenock & Casper G. Vries, 1996. "The all-pay auction with complete information," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 209-223, Springer.
    20. Hyun Song Shin, 1998. "Adversarial and Inquisitorial Procedures in Arbitration," RAND Journal of Economics, The RAND Corporation, vol. 29(2), pages 378-405, Summer.
    21. Navin Kartik, 2009. "Strategic Communication with Lying Costs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(4), pages 1359-1395.
    22. Mark N. Hertzendorf & Per Baltzer Overgaard, 2001. "Price Competition and Advertising Signals: Signaling by Competing Senders," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 10(4), pages 621-662, December.
    23. Claude Fluet, 2009. "Accuracy Versus Falsification Costs: The Optimal Amount of Evidence under Different Procedures," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 25(1), pages 134-156, May.
    24. Vida, Péter & Honryo, Takakazu, 2021. "Strategic stability of equilibria in multi-sender signaling games," Games and Economic Behavior, Elsevier, vol. 127(C), pages 102-112.
    25. Yaron Yehezkel, 2008. "Signaling Quality in an Oligopoly When Some Consumers Are Informed," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 17(4), pages 937-972, December.
    26. 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.
    27. 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.
    28. In-Koo Cho & David M. Kreps, 1987. "Signaling Games and Stable Equilibria," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(2), pages 179-221.
    29. Banks, Jeffrey S., 1990. "A model of electoral competition with incomplete information," Journal of Economic Theory, Elsevier, vol. 50(2), pages 309-325, April.
    30. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
    31. Banks, Jeffrey S & Sobel, Joel, 1987. "Equilibrium Selection in Signaling Games," Econometrica, Econometric Society, vol. 55(3), pages 647-661, May.
    32. Paul R. Milgrom, 1981. "Good News and Bad News: Representation Theorems and Applications," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 380-391, Autumn.
    33. 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.
    34. Joseph E. Harrington Jr., 1987. "Oligopolistic Entry Deterrence under Incomplete Information," RAND Journal of Economics, The RAND Corporation, vol. 18(2), pages 211-231, Summer.
    35. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    36. Ying Chen & Navin Kartik & Joel Sobel, 2008. "Selecting Cheap-Talk Equilibria," Econometrica, Econometric Society, vol. 76(1), pages 117-136, January.
    37. Kartik, Navin & Ottaviani, Marco & Squintani, Francesco, 2007. "Credulity, lies, and costly talk," Journal of Economic Theory, Elsevier, vol. 134(1), pages 93-116, May.
    38. Marco Ottaviani & Francesco Squintani, 2006. "Naive audience and communication bias," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(1), pages 129-150, December.
    39. Honryo, Takakazu, 2018. "Risky shifts as multi-sender signaling," Journal of Economic Theory, Elsevier, vol. 174(C), pages 273-287.
    40. Manelli, Alejandro M, 1996. "Cheap Talk and Sequential Equilibria in Signaling Games," Econometrica, Econometric Society, vol. 64(4), pages 917-942, July.
    41. George J. Mailath, 1989. "Simultaneous Signaling in an Oligopoly Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(2), pages 417-427.
    42. Michael Spence, 1973. "Job Market Signaling," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 87(3), pages 355-374.
    43. Robert Wilson, 1977. "A Bidding Model of Perfect Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(3), pages 511-518.
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    Cited by:

    1. Federico Vaccari, 2023. "Influential news and policy-making," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(4), pages 1363-1418, November.
    2. Federico Vaccari, 2022. "Efficient Communication in Organizations," Working Papers 2022.39, Fondazione Eni Enrico Mattei.
    3. Albertazzi, Andrea & Ploner, Matteo & Vaccari, Federico, 2024. "Welfare and competition in expert advice markets," Journal of Economic Behavior & Organization, Elsevier, vol. 219(C), pages 74-103.

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    More about this item

    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

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