IDEAS home Printed from https://ideas.repec.org/p/zbw/zewdip/22064.html
   My bibliography  Save this paper

First best implementation with costly information acquisition

Author

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

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

  • Larionov, Daniil & Pham, Hien & Yamashita, Takuro & Zhu, Shuguang, 2022. "First best implementation with costly information acquisition," ZEW Discussion Papers 22-064, ZEW - Leibniz Centre for European Economic Research.
  • Handle: RePEc:zbw:zewdip:22064
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/268243/1/1830348868.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Gershkov, Alex & Szentes, Balázs, 2009. "Optimal voting schemes with costly information acquisition," Journal of Economic Theory, Elsevier, vol. 144(1), pages 36-68, January.
    2. Bikhchandani, Sushil, 2010. "Information acquisition and full surplus extraction," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2282-2308, November.
    3. 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.
    4. , & ,, 2012. "Mechanism design and communication networks," Theoretical Economics, Econometric Society, vol. 7(3), September.
    5. Shi, Xianwen, 2012. "Optimal auctions with information acquisition," Games and Economic Behavior, Elsevier, vol. 74(2), pages 666-686.
    6. Gerardi, Dino & Yariv, Leeat, 2008. "Information acquisition in committees," Games and Economic Behavior, Elsevier, vol. 62(2), pages 436-459, March.
    7. 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.
    8. Yang, Ming, 2015. "Coordination with flexible information acquisition," Journal of Economic Theory, Elsevier, vol. 158(PB), pages 721-738.
    9. Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-1385, November.
    10. Dirk Bergemann & Juuso Valimaki, 2002. "Information Acquisition and Efficient Mechanism Design," Econometrica, Econometric Society, vol. 70(3), pages 1007-1033, May.
    11. 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.
    12. 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.
    13. 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.
    14. Liu, Qingmin, 2015. "Correlation and common priors in games with incomplete information," Journal of Economic Theory, Elsevier, vol. 157(C), pages 49-75.
    15. 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.
    16. 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.
    17. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April.
    18. 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.
    19. 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.
    20. Krähmer, Daniel, 2020. "Information disclosure and full surplus extraction in mechanism design," Journal of Economic Theory, Elsevier, vol. 187(C).
    21. Peters, Michael & Troncoso-Valverde, Cristián, 2013. "A folk theorem for competing mechanisms," Journal of Economic Theory, Elsevier, vol. 148(3), pages 953-973.
    22. Nicola Persico, 2004. "Committee Design with Endogenous Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(1), pages 165-191.
    23. 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.
    24. Hao Li, 2001. "A Theory of Conservatism," Journal of Political Economy, University of Chicago Press, vol. 109(3), pages 617-636, June.
    25. Renault, Jérôme & Renou, Ludovic & Tomala, Tristan, 2014. "Secure message transmission on directed networks," Games and Economic Behavior, Elsevier, vol. 85(C), pages 1-18.
    26. Robert B. Wilson, 1969. "Communications to the Editor--Competitive Bidding with Disparate Information," Management Science, INFORMS, vol. 15(7), pages 446-452, March.
    27. 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).
    28. 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.
    29. 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.
    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. Mensch, Jeffrey, 2021. "Rational inattention and the monotone likelihood ratio property," Journal of Economic Theory, Elsevier, vol. 196(C).
    5. Wanchang Zhang, 2022. "Auctioning Multiple Goods without Priors," Papers 2204.13726, arXiv.org.
    6. Flynn, Joel P. & Sastry, Karthik A., 2023. "Strategic mistakes," Journal of Economic Theory, Elsevier, vol. 212(C).
    7. Gershkov, Alex & Szentes, Balázs, 2009. "Optimal voting schemes with costly information acquisition," Journal of Economic Theory, Elsevier, vol. 144(1), pages 36-68, January.
    8. Bikhchandani, Sushil, 2010. "Information acquisition and full surplus extraction," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2282-2308, November.
    9. Wanchang Zhang, 2022. "Information-Robust Optimal Auctions," Papers 2205.04137, arXiv.org.
    10. Dewan, Ambuj & Neligh, Nathaniel, 2020. "Estimating information cost functions in models of rational inattention," Journal of Economic Theory, Elsevier, vol. 187(C).
    11. Yan Chen & YingHua He, 2022. "Information acquisition and provision in school choice: a theoretical investigation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(1), pages 293-327, July.
    12. Iossa, Elisabetta & Martimort, David, 2015. "Pessimistic information gathering," Games and Economic Behavior, Elsevier, vol. 91(C), pages 75-96.
    13. Roc Armenter & Michèle Müller-Itten & Zachary Stangebye, 2020. "Rational Inattention via Ignorance Equivalence," Working Papers 20-24, Federal Reserve Bank of Philadelphia.
    14. Schottmüller, Christoph, 2023. "Optimal information structures in bilateral trade," Theoretical Economics, Econometric Society, vol. 18(1), January.
    15. Li, Anqi & Hu, Lin, 2023. "Electoral accountability and selection with personalized information aggregation," Games and Economic Behavior, Elsevier, vol. 140(C), pages 296-315.
    16. Emmanuelle Auriol & Robert Gary-Bobo, 2012. "On the optimal number of representatives," Public Choice, Springer, vol. 153(3), pages 419-445, December.
    17. Gerardi, Dino & Yariv, Leeat, 2008. "Information acquisition in committees," Games and Economic Behavior, Elsevier, vol. 62(2), pages 436-459, March.
    18. 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.
    19. Swank, Otto H. & Visser, Bauke, 2023. "Committees as active audiences: Reputation concerns and information acquisition," Journal of Public Economics, Elsevier, vol. 221(C).
    20. Jun Chen, 2021. "The Condorcet Jury Theorem with Information Acquisition," Games, MDPI, vol. 12(4), pages 1-33, October.

    More about this item

    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:zbw:zewdip:22064. 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: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/zemande.html .

    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.