IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2405.05744.html

Designing Social Learning

Author

Listed:
  • Aleksei Smirnov
  • Egor Starkov

Abstract

This paper studies strategic communication in the context of social learning. Product reviews are used by consumers to learn product quality, but in order to write a review, a consumer must be convinced to purchase the item first. When reviewers care about welfare of future consumers, this leads to a conflict: a reviewer today wants the future consumers to purchase the item even when this comes at a loss to them, so that more information is revealed for the consumers that come after. We show that due to this conflict, communication via reviews is inevitably noisy, regardless of whether reviewers can commit to a communication strategy or have to resort to cheap talk. The optimal communication mechanism involves truthful communication of extreme experiences and pools the moderate experiences together.

Suggested Citation

  • Aleksei Smirnov & Egor Starkov, 2024. "Designing Social Learning," Papers 2405.05744, arXiv.org, revised Apr 2025.
  • Handle: RePEc:arx:papers:2405.05744
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2405.05744
    File Function: Latest version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Sushil Bikhchandani & David Hirshleifer & Omer Tamuz & Ivo Welch, 2024. "Information Cascades and Social Learning," Journal of Economic Literature, American Economic Association, vol. 62(3), pages 1040-1093, September.
    2. Heidhues, Paul & Rady, Sven & Strack, Philipp, 2015. "Strategic experimentation with private payoffs," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 531-551.
    3. Renault, Jérôme & Solan, Eilon & Vieille, Nicolas, 2013. "Dynamic sender–receiver games," Journal of Economic Theory, Elsevier, vol. 148(2), pages 502-534.
    4. Ilan Kremer & Yishay Mansour & Motty Perry, 2014. "Implementing the "Wisdom of the Crowd"," Journal of Political Economy, University of Chicago Press, vol. 122(5), pages 988-1012.
    5. Thomas Mariotti & Nikolaus Schweizer & Nora Szech & Jonas von Wangenheim, 2023. "Information Nudges and Self-Control," Management Science, INFORMS, vol. 69(4), pages 2182-2197, April.
    6. Dye, Ra, 1985. "Disclosure Of Nonproprietary Information," Journal of Accounting Research, John Wiley & Sons, Ltd., vol. 23(1), pages 123-145.
    7. Alexander Wolitzky, 2018. "Learning from Others' Outcomes," American Economic Review, American Economic Association, vol. 108(10), pages 2763-2801, October.
    8. Simone Galperti & Bruno Strulovici, 2017. "A Theory of Intergenerational Altruism," Econometrica, Econometric Society, vol. 85, pages 1175-1218, July.
    9. Roland Bénabou & Nikhil Vellodi, 2024. "(Pro-) Social Learning and Strategic Disclosure," NBER Working Papers 32483, National Bureau of Economic Research, Inc.
    10. Foerster, Manuel, 2019. "Dynamics of strategic information transmission in social networks," Theoretical Economics, Econometric Society, vol. 14(1), January.
    11. Arthur Campbell, 2013. "Word-of-Mouth Communication and Percolation in Social Networks," American Economic Review, American Economic Association, vol. 103(6), pages 2466-2498, October.
    12. Stephan Meier, 2006. "A survey of economic theories and field evidence on pro-social behavior," Working Papers 06-6, Federal Reserve Bank of Boston.
    13. Andreoni, James, 1990. "Impure Altruism and Donations to Public Goods: A Theory of Warm-Glow Giving?," Economic Journal, Royal Economic Society, vol. 100(401), pages 464-477, June.
    14. Roland Bénabou & Nikhil Vellodi, 2024. "(Pro-)Social Learning and Strategic Disclosure," PSE Working Papers halshs-04721035, HAL.
    15. James Konow, 2003. "Which Is the Fairest One of All? A Positive Analysis of Justice Theories," Journal of Economic Literature, American Economic Association, vol. 41(4), pages 1188-1239, December.
    16. Yeon-Koo Che & Johannes Hörner, 2018. "Recommender Systems as Mechanisms for Social Learning," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 133(2), pages 871-925.
    17. Alonso, Ricardo & Câmara, Odilon, 2016. "Bayesian persuasion with heterogeneous priors," Journal of Economic Theory, Elsevier, vol. 165(C), pages 672-706.
    18. Otto H. Swank & Bauke Visser, 2015. "Learning from Others? Decision Rights, Strategic Communication, and Reputational Concerns," American Economic Journal: Microeconomics, American Economic Association, vol. 7(4), pages 109-149, November.
    19. Itai Arieli & Manuel Mueller-Frank, 2019. "Multidimensional Social Learning," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(3), pages 913-940.
    20. Lones Smith & Peter Norman Sørensen & Jianrong Tian, 2021. "Informational Herding, Optimal Experimentation, and Contrarianism [The Market for “Lemons”: Quality Uncertainty and the Market Mechanism]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(5), pages 2527-2554.
    21. Paul Resnick & Christopher Avery & Richard Zeckhauser, 1999. "The Market for Evaluations," American Economic Review, American Economic Association, vol. 89(3), pages 564-584, June.
    22. Guarino, Antonio & Harmgart, Heike & Huck, Steffen, 2011. "Aggregate information cascades," Games and Economic Behavior, Elsevier, vol. 73(1), pages 167-185, September.
    23. Godfrey Keller & Sven Rady & Martin Cripps, 2005. "Strategic Experimentation with Exponential Bandits," Econometrica, Econometric Society, vol. 73(1), pages 39-68, January.
    24. Patrick Bolton & Christopher Harris, 1999. "Strategic Experimentation," Econometrica, Econometric Society, vol. 67(2), pages 349-374, March.
    25. Galeotti, Andrea & Ghiglino, Christian & Squintani, Francesco, 2013. "Strategic information transmission networks," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1751-1769.
    26. Aleksei Smirnov & Egor Starkov, 2022. "Bad News Turned Good: Reversal under Censorship," American Economic Journal: Microeconomics, American Economic Association, vol. 14(2), pages 506-560, May.
    27. , & , M. & ,, 2013. "Hierarchical cheap talk," Theoretical Economics, Econometric Society, vol. 8(1), January.
    28. Annie Liang & Xiaosheng Mu, 2020. "Complementary Information and Learning Traps," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(1), pages 389-448.
    29. Cao, H. Henry & Han, Bing & Hirshleifer, David, 2011. "Taking the road less traveled by: Does conversation eradicate pernicious cascades?," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1418-1436, July.
    30. Lones Smith & Peter Sorensen, 2000. "Pathological Outcomes of Observational Learning," Econometrica, Econometric Society, vol. 68(2), pages 371-398, March.
    31. Cristina Blanco-Perez & Abel Brodeur, 2020. "Publication Bias and Editorial Statement on Negative Findings," The Economic Journal, Royal Economic Society, vol. 130(629), pages 1226-1247.
    32. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    33. Saori CHIBA, 2018. "Hidden Profiles and Persuasion Cascades in Group Decision-Making," Discussion papers e-18-001, Graduate School of Economics , Kyoto University.
    34. S. Ali & Navin Kartik, 2012. "Herding with collective preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(3), pages 601-626, November.
    35. Mark T. Le Quement & Amrish Patel, 2018. "Communication as Gift-Exchange," University of East Anglia School of Economics Working Paper Series 2018-06, School of Economics, University of East Anglia, Norwich, UK..
    36. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
    37. Michael Luca & Georgios Zervas, 2016. "Fake It Till You Make It: Reputation, Competition, and Yelp Review Fraud," Management Science, INFORMS, vol. 62(12), pages 3412-3427, December.
    38. Christoph Carnehl & Johannes Schneider, 2025. "A Quest for Knowledge," Econometrica, Econometric Society, vol. 93(2), pages 623-659, March.
    39. March, Christoph & Ziegelmeyer, Anthony, 2020. "Altruistic observational learning," Journal of Economic Theory, Elsevier, vol. 190(C).
    40. , & ,, 2015. "Information diffusion in networks through social learning," Theoretical Economics, Econometric Society, vol. 10(3), September.
    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. Hiroto Sato & Ryo Shirakawa, 2025. "Managing Learning Structures," Papers 2512.20001, arXiv.org.
    2. Qi, Dengwei, 2025. "The rates of learning with public and private signals," Mathematical Social Sciences, Elsevier, vol. 136(C).
    3. Li Chen & Yiangos Papanastasiou, 2021. "Seeding the Herd: Pricing and Welfare Effects of Social Learning Manipulation," Management Science, INFORMS, vol. 67(11), pages 6734-6750, November.
    4. Migrow, Dimitri, 2021. "Designing communication hierarchies," Journal of Economic Theory, Elsevier, vol. 198(C).
    5. Xu, Wenji, 2025. "Social learning through coarse signals of others' actions," Journal of Economic Theory, Elsevier, vol. 229(C).
    6. Lagziel, David & Tsodikovich, Yevgeny, 2025. "Working with AI: An analysis for rational integration," Games and Economic Behavior, Elsevier, vol. 153(C), pages 254-267.
    7. Alessandro Lizzeri & Eran Shmaya & Leeat Yariv, 2024. "Disentangling Exploration from Exploitation," NBER Working Papers 32424, National Bureau of Economic Research, Inc.
    8. Florian Brandl, 2025. "The Social Learning Barrier," Papers 2504.12136, arXiv.org, revised Aug 2025.
    9. Mohamed Belhaj & Frédéric Deroïan & Mathieu Faure, 2022. "Do people share opportunities?," Working Papers hal-03921232, HAL.
    10. James C. D. Fisher & John Wooders, 2017. "Interacting information cascades: on the movement of conventions between groups," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 211-231, January.
    11. Peng, Diefeng & Rao, Yulei & Sun, Xianming & Xiao, Erte, 2025. "Optional disclosure and observational learning," Journal of Economic Behavior & Organization, Elsevier, vol. 229(C).
    12. Gieczewski, Germán, 2022. "Verifiable communication on networks," Journal of Economic Theory, Elsevier, vol. 204(C).
    13. , & , & ,, 2014. "Dynamics of information exchange in endogenous social networks," Theoretical Economics, Econometric Society, vol. 9(1), January.
    14. Kaustav Das, 2014. "Strategic Experimentation with Competition and Private Arrival of Information," Discussion Papers 1404, University of Exeter, Department of Economics.
    15. Holm, Håkan & Daielson, Anders, 2004. "Fairness and Promises for Sale," Working Papers 2004:18, Lund University, Department of Economics, revised 15 Aug 2005.
    16. Foerster, Manuel, 2019. "Dynamics of strategic information transmission in social networks," Theoretical Economics, Econometric Society, vol. 14(1), January.
    17. Manuel Foerster, 2023. "Strategic transmission of imperfect information: why revealing evidence (without proof) is difficult," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(4), pages 1291-1316, December.
    18. Jackson, Matthew O. & Zenou, Yves, 2015. "Games on Networks," Handbook of Game Theory with Economic Applications,, Elsevier.
    19. Vora, Anuj S. & Kulkarni, Ankur A., 2024. "Shannon meets Myerson: Information extraction from a strategic sender," Mathematical Social Sciences, Elsevier, vol. 131(C), pages 48-66.
    20. Arieli, Itai, 2017. "Payoff externalities and social learning," Games and Economic Behavior, Elsevier, vol. 104(C), pages 392-410.

    More about this item

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • L15 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Information and Product Quality

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:arx:papers:2405.05744. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.