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The comparative statics of persuasion

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  • Gregorio Curello
  • Ludvig Sinander

Abstract

In the canonical persuasion model, comparative statics has been an open question. We answer it, delineating which shifts of the sender's interim payoff lead her optimally to choose a more informative signal. Our first theorem identifies a coarse notion of 'increased convexity' that we show characterises those shifts of the sender's interim payoff that lead her optimally to choose no less informative signals. To strengthen this conclusion to 'more informative' requires further assumptions: our second theorem identifies the necessary and sufficient condition on the sender's interim payoff, which strictly generalises the 'S' shape commonly imposed in the literature. We identify conditions under which increased alignment of interests between sender and receiver lead to comparative statics, and study applications.

Suggested Citation

  • Gregorio Curello & Ludvig Sinander, 2022. "The comparative statics of persuasion," Papers 2204.07474, arXiv.org, revised Feb 2024.
    • Handle: RePEc:arx:papers:2204.07474
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    References listed on IDEAS

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    1. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, December.
    2. John K.-H. Quah & Bruno Strulovici, 2009. "Comparative Statics, Informativeness, and the Interval Dominance Order," Econometrica, Econometric Society, vol. 77(6), pages 1949-1992, November.
    3. Emir Kamenica & Matthew Gentzkow, 2011. "Bayesian Persuasion," American Economic Review, American Economic Association, vol. 101(6), pages 2590-2615, October.
    4. Kolotilin, Anton, 2018. "Optimal information disclosure: a linear programming approach," Theoretical Economics, Econometric Society, vol. 13(2), May.
    5. Piotr Dworczak & Giorgio Martini, 2019. "The Simple Economics of Optimal Persuasion," Journal of Political Economy, University of Chicago Press, vol. 127(5), pages 1993-2048.
    6. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    7. Andreas Kleiner & Benny Moldovanu & Philipp Strack, 2021. "Extreme Points and Majorization: Economic Applications," Econometrica, Econometric Society, vol. 89(4), pages 1557-1593, July.
    8. Dizdar, Deniz & Kováč, Eugen, 2020. "A simple proof of strong duality in the linear persuasion problem," Games and Economic Behavior, Elsevier, vol. 122(C), pages 407-412.
    9. Luis Rayo & Ilya Segal, 2010. "Optimal Information Disclosure," Journal of Political Economy, University of Chicago Press, vol. 118(5), pages 949-987.
    10. Axel Anderson & Lones Smith, 2024. "The Comparative Statics of Sorting," American Economic Review, American Economic Association, vol. 114(3), pages 709-751, March.
    11. Yeon-Koo Che & Jinwoo Kim & Fuhito Kojima, 2019. "Weak Monotone Comparative Statics," Papers 1911.06442, arXiv.org, revised Nov 2021.
    12. Laura Doval & Vasiliki Skreta, 2018. "Constrained Information Design," Papers 1811.03588, arXiv.org, revised Aug 2022.
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    Cited by:

    1. Mark Whitmeyer, 2022. "Making Information More Valuable," Papers 2210.04418, arXiv.org, revised Dec 2023.
    2. Onuchic, Paula & Ray, Debraj, 2023. "Conveying value via categories," Theoretical Economics, Econometric Society, vol. 18(4), November.
    3. Qianjun Lyu & Wing Suen & Yimeng Zhang, 2023. "Coarse Information Design," Papers 2305.18020, arXiv.org, revised Oct 2023.

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