IDEAS home Printed from https://ideas.repec.org/p/bon/boncrc/crctr224_2022_377.html
   My bibliography  Save this paper

First Best Implementation With Costly Information Acquisition

Author

Listed:
  • Daniil Larionov
  • Hien Pham
  • Takuro Yamashita
  • Shuguang Zhu

Abstract

We study mechanism design with flexible but costly information acquisition. There is a principal and four or more agents, sharing a common prior over the set of payoff-relevant states. The principal proposes a mechanism to the agents who can then acquire information about the state of the world by privately designing a signal device. As long as it is costless for each agent to acquire a signal that is independent from the state, we show that there exists a mechanism which allows the principal to implement any social choice rule at zero information acquisition cost to the agents.

Suggested Citation

  • Daniil Larionov & Hien Pham & Takuro Yamashita & Shuguang Zhu, 2022. "First Best Implementation With Costly Information Acquisition," CRC TR 224 Discussion Paper Series crctr224_2022_377, University of Bonn and University of Mannheim, Germany.
    • Handle: RePEc:bon:boncrc:crctr224_2022_377
    as

    Download full text from publisher

    File URL: https://www.crctr224.de/research/discussion-papers/archive/dp377
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Luciano Pomatto & Philipp Strack & Omer Tamuz, 2018. "The Cost of Information: The Case of Constant Marginal Costs," Papers 1812.04211, arXiv.org, revised Feb 2023.
    2. , & ,, 2012. "Mechanism design and communication networks," Theoretical Economics, Econometric Society, vol. 7(3), September.
    3. Yamashita, Takuro, 2018. "Revenue guarantees in auctions with a (correlated) common prior and additional information," TSE Working Papers 18-937, Toulouse School of Economics (TSE).
    4. 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.
    5. Anne-Katrin Roesler & Balázs Szentes, 2017. "Buyer-Optimal Learning and Monopoly Pricing," American Economic Review, American Economic Association, vol. 107(7), pages 2072-2080, July.
    6. Gershkov, Alex & Szentes, Balázs, 2009. "Optimal voting schemes with costly information acquisition," Journal of Economic Theory, Elsevier, vol. 144(1), pages 36-68, January.
    7. Filip Matêjka & Alisdair McKay, 2015. "Rational Inattention to Discrete Choices: A New Foundation for the Multinomial Logit Model," American Economic Review, American Economic Association, vol. 105(1), pages 272-298, January.
    8. Andrew Caplin & Mark Dean, 2015. "Revealed Preference, Rational Inattention, and Costly Information Acquisition," American Economic Review, American Economic Association, vol. 105(7), pages 2183-2203, July.
    9. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April.
    10. Shi, Xianwen, 2012. "Optimal auctions with information acquisition," Games and Economic Behavior, Elsevier, vol. 74(2), pages 666-686.
    11. Xin Zhao, 2018. "Heterogeneity and Unanimity: Optimal Committees with Information Acquisition," Working Paper Series 52, Economics Discipline Group, UTS Business School, University of Technology, Sydney.
    12. Gerardi, Dino & Yariv, Leeat, 2008. "Information acquisition in committees," Games and Economic Behavior, Elsevier, vol. 62(2), pages 436-459, March.
    13. Kalai, Adam Tauman & Kalai, Ehud & Lehrer, Ehud & Samet, Dov, 2010. "A commitment folk theorem," Games and Economic Behavior, Elsevier, vol. 69(1), pages 127-137, May.
    14. Hao Li, 2001. "A Theory of Conservatism," Journal of Political Economy, University of Chicago Press, vol. 109(3), pages 617-636, June.
    15. Bikhchandani, Sushil, 2010. "Information acquisition and full surplus extraction," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2282-2308, November.
    16. Peters, Michael & Troncoso-Valverde, Cristián, 2013. "A folk theorem for competing mechanisms," Journal of Economic Theory, Elsevier, vol. 148(3), pages 953-973.
    17. Benjamin Brooks & Songzi Du, 2021. "Optimal Auction Design With Common Values: An Informationally Robust Approach," Econometrica, Econometric Society, vol. 89(3), pages 1313-1360, May.
    18. Yang, Ming, 2015. "Coordination with flexible information acquisition," Journal of Economic Theory, Elsevier, vol. 158(PB), pages 721-738.
    19. Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-1385, November.
    20. Liu, Qingmin, 2015. "Correlation and common priors in games with incomplete information," Journal of Economic Theory, Elsevier, vol. 157(C), pages 49-75.
    21. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-1257, November.
    22. Sushil Bikhchandani & Ichiro Obara, 2017. "Mechanism design with information acquisition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(3), pages 783-812, March.
    23. Dirk Bergemann & Juuso Valimaki, 2002. "Information Acquisition and Efficient Mechanism Design," Econometrica, Econometric Society, vol. 70(3), pages 1007-1033, May.
    24. Daniele Condorelli & Balázs Szentes, 2020. "Information Design in the Holdup Problem," Journal of Political Economy, University of Chicago Press, vol. 128(2), pages 681-709.
    25. Nicola Persico, 2004. "Committee Design with Endogenous Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(1), pages 165-191.
    26. Renault, Jérôme & Renou, Ludovic & Tomala, Tristan, 2014. "Secure message transmission on directed networks," Games and Economic Behavior, Elsevier, vol. 85(C), pages 1-18.
    27. Krähmer, Daniel, 2020. "Information disclosure and full surplus extraction in mechanism design," Journal of Economic Theory, Elsevier, vol. 187(C).
    28. Condorelli, Daniele & Szentes, Balázs, 2020. "Information design in the holdup problem," LSE Research Online Documents on Economics 90620, London School of Economics and Political Science, LSE Library.
    29. Robert B. Wilson, 1969. "Communications to the Editor--Competitive Bidding with Disparate Information," Management Science, INFORMS, vol. 15(7), pages 446-452, March.
    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. Bartosz Maćkowiak & Filip Matějka & Mirko Wiederholt, 2023. "Rational Inattention: A Review," Journal of Economic Literature, American Economic Association, vol. 61(1), pages 226-273, March.
    2. Zhu, Shuguang, 2023. "Private disclosure with multiple agents," Journal of Economic Theory, Elsevier, vol. 212(C).
    3. Tommaso Denti & Doron Ravid, 2023. "Robust Predictions in Games with Rational Inattention," Papers 2306.09964, arXiv.org.
    4. Bikhchandani, Sushil, 2010. "Information acquisition and full surplus extraction," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2282-2308, November.
    5. Gershkov, Alex & Szentes, Balázs, 2009. "Optimal voting schemes with costly information acquisition," Journal of Economic Theory, Elsevier, vol. 144(1), pages 36-68, January.
    6. Mensch, Jeffrey, 2021. "Rational inattention and the monotone likelihood ratio property," Journal of Economic Theory, Elsevier, vol. 196(C).
    7. Wanchang Zhang, 2022. "Auctioning Multiple Goods without Priors," Papers 2204.13726, arXiv.org.
    8. Wanchang Zhang, 2022. "Information-Robust Optimal Auctions," Papers 2205.04137, arXiv.org.
    9. Flynn, Joel P. & Sastry, Karthik A., 2023. "Strategic mistakes," Journal of Economic Theory, Elsevier, vol. 212(C).
    10. Gerardi, Dino & Yariv, Leeat, 2008. "Information acquisition in committees," Games and Economic Behavior, Elsevier, vol. 62(2), pages 436-459, March.
    11. Ekmekci, Mehmet & Kos, Nenad, 2023. "Signaling covertly acquired information," Journal of Economic Theory, Elsevier, vol. 214(C).
    12. Martimort, David & Iossa, Elisabetta, 2013. "Hidden Action or Hidden Information? How Information Gathering Shapes Contract Design," CEPR Discussion Papers 9552, C.E.P.R. Discussion Papers.
    13. Swank, Otto H. & Visser, Bauke, 2023. "Committees as active audiences: Reputation concerns and information acquisition," Journal of Public Economics, Elsevier, vol. 221(C).
    14. Chen, Yan & He, YingHua, 2021. "Information acquisition and provision in school choice: An experimental study," Journal of Economic Theory, Elsevier, vol. 197(C).
    15. Malin Arve & Claudine Desrieux, 2023. "Committee Preferences and Information Acquisition," Journal of Industry, Competition and Trade, Springer, vol. 23(3), pages 243-260, December.
    16. Jun Chen, 2021. "The Condorcet Jury Theorem with Information Acquisition," Games, MDPI, vol. 12(4), pages 1-33, October.
    17. Bruns, Christian, 2013. "Elections and Market Provision of Information," VfS Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79857, Verein für Socialpolitik / German Economic Association.
    18. Lang, Ruitian, 2019. "Try before you buy: A theory of dynamic information acquisition," Journal of Economic Theory, Elsevier, vol. 183(C), pages 1057-1093.
    19. Gottardi, Piero & Mezzetti, Claudio, 2024. "Shuttle diplomacy," Journal of Economic Theory, Elsevier, vol. 216(C).
    20. Roc Armenter & Michèle Müller-Itten & Zachary Stangebye, 2020. "Rational Inattention via Ignorance Equivalence," Working Papers 20-24, Federal Reserve Bank of Philadelphia.

    More about this item

    Keywords

    Mechanism Desgin; Implementation; First Best; Information Acquisition;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    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:bon:boncrc:crctr224_2022_377. 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: CRC Office (email available below). General contact details of provider: https://www.crctr224.de .

    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.