IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2405.18521.html
   My bibliography  Save this paper

Falsifiable Test Design in Coordination Games

Author

Listed:
  • Yingkai Li
  • Boli Xu

Abstract

A principal can propose a project to an agent, who then decides whether to accept. Their payoffs from launching the project depend on an unknown binary state. The principal can obtain more precise information about the state through a test at no cost, but crucially, it is common knowledge that she can falsify the test result. In the most interesting case where players have conflicted interests, the optimal test is a binary lemon-detecting test. We also find that coordination is possible when the principal is pessimistic but not when the agent is pessimistic. Moreover, when the agent has private information about the state, a single binary lemon-detecting test remains optimal even though the principal has the option to screen the agent by providing a menu of tests. Our finding is consistent with observed tests in real practice.

Suggested Citation

  • Yingkai Li & Boli Xu, 2024. "Falsifiable Test Design in Coordination Games," Papers 2405.18521, arXiv.org.
  • Handle: RePEc:arx:papers:2405.18521
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2405.18521
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
    2. Dirk Bergemann & Stephen Morris, 2019. "Information Design: A Unified Perspective," Journal of Economic Literature, American Economic Association, vol. 57(1), pages 44-95, March.
    3. Eduardo Perez‐Richet & Vasiliki Skreta, 2022. "Test Design Under Falsification," Econometrica, Econometric Society, vol. 90(3), pages 1109-1142, May.
    4. Anton Kolotilin & Tymofiy Mylovanov & Andriy Zapechelnyuk & Ming Li, 2017. "Persuasion of a Privately Informed Receiver," Econometrica, Econometric Society, vol. 85(6), pages 1949-1964, November.
    5. Dong Wei & Brett Green, 2024. "(Reverse) Price Discrimination with Information Design," American Economic Journal: Microeconomics, American Economic Association, vol. 16(2), pages 267-295, May.
    6. Ian Ball, 2019. "Scoring Strategic Agents," Papers 1909.01888, arXiv.org, revised May 2024.
    7. Guo, Yingni & Shmaya, Eran, 2021. "Costly miscalibration," Theoretical Economics, Econometric Society, vol. 16(2), May.
    8. Paul Gompers & Josh Lerner, 2001. "The Venture Capital Revolution," Journal of Economic Perspectives, American Economic Association, vol. 15(2), pages 145-168, Spring.
    9. Ivanov, Maxim, 2010. "Informational control and organizational design," Journal of Economic Theory, Elsevier, vol. 145(2), pages 721-751, March.
    10. Elliot Lipnowski & Doron Ravid & Denis Shishkin, 2022. "Persuasion via Weak Institutions," Journal of Political Economy, University of Chicago Press, vol. 130(10), pages 2705-2730.
    11. Yingni Guo & Eran Shmaya, 2019. "The Interval Structure of Optimal Disclosure," Econometrica, Econometric Society, vol. 87(2), pages 653-675, March.
    12. Bardhi, Arjada & Guo, Yingni, 2018. "Modes of persuasion toward unanimous consent," Theoretical Economics, Econometric Society, vol. 13(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. Alonso, Ricardo & Câmara, Odilon, 2021. "Organizing Data Analytics," CEPR Discussion Papers 16768, C.E.P.R. Discussion Papers.
    2. Terstiege, Stefan & Wasser, Cédric, 2020. "Buyer-optimal extensionproof information," Journal of Economic Theory, Elsevier, vol. 188(C).
    3. Babichenko, Yakov & Talgam-Cohen, Inbal & Xu, Haifeng & Zabarnyi, Konstantin, 2022. "Regret-minimizing Bayesian persuasion," Games and Economic Behavior, Elsevier, vol. 136(C), pages 226-248.
    4. Chan, Jimmy & Gupta, Seher & Li, Fei & Wang, Yun, 2019. "Pivotal persuasion," Journal of Economic Theory, Elsevier, vol. 180(C), pages 178-202.
      • Jimmy Chan & Seher Gupta & Fei Li & Yun Wang, 2018. "Pivotal Persuasion," Working Papers 2018-11-03, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
    5. Tsakas, Elias & Tsakas, Nikolas, 2021. "Noisy persuasion," Games and Economic Behavior, Elsevier, vol. 130(C), pages 44-61.
    6. Zeng, Yishu, 2023. "Derandomization of persuasion mechanisms," Journal of Economic Theory, Elsevier, vol. 212(C).
    7. Monte, Daniel & Linhares, Luis Henrique, 2023. "Stealth Startups, Clauses, and Add-ons: A Model of Strategic Obfuscation," MPRA Paper 115926, University Library of Munich, Germany.
    8. Ozan Candogan & Philipp Strack, 2021. "Optimal Disclosure of Information to a Privately Informed Receiver," Papers 2101.10431, arXiv.org, revised Jan 2022.
    9. Andriy Zapechelnyuk, 2023. "On the equivalence of information design by uninformed and informed principals," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(4), pages 1051-1067, November.
    10. Parakhonyak, Alexei & Vikander, Nick, 2023. "Information design through scarcity and social learning," Journal of Economic Theory, Elsevier, vol. 207(C).
    11. Yaron Leitner & Basil Williams, 2023. "Model Secrecy and Stress Tests," Journal of Finance, American Finance Association, vol. 78(2), pages 1055-1095, April.
    12. Eilat, Ran & Neeman, Zvika, 2023. "Communication with endogenous deception costs," Journal of Economic Theory, Elsevier, vol. 207(C).
    13. Dessein, Wouter & Frankel, Alexander & Kartik, Navin, 2023. "Test-Optional Admissions," CEPR Discussion Papers 18090, C.E.P.R. Discussion Papers.
    14. Li, Fei & Song, Yangbo & Zhao, Mofei, 2023. "Global manipulation by local obfuscation," Journal of Economic Theory, Elsevier, vol. 207(C).
    15. Eduardo Perez‐Richet & Vasiliki Skreta, 2022. "Test Design Under Falsification," Econometrica, Econometric Society, vol. 90(3), pages 1109-1142, May.
    16. Redlicki, Bartosz & Redlicki, Jakub, 2022. "Communication with Costly and Detectable Falsification," Journal of Economic Behavior & Organization, Elsevier, vol. 202(C), pages 452-470.
    17. Ginzburg, Boris, 2019. "Optimal information censorship," Journal of Economic Behavior & Organization, Elsevier, vol. 163(C), pages 377-385.
    18. Lyu, Chen, 2023. "Information design for selling search goods and the effect of competition," Journal of Economic Theory, Elsevier, vol. 213(C).
    19. Garrett, Daniel F. & Georgiadis, George & Smolin, Alex & Szentes, Balázs, 2023. "Optimal technology design," Journal of Economic Theory, Elsevier, vol. 209(C).
    20. Shih-Tang Su & Vijay G. Subramanian & Grant Schoenebeck, 2021. "Bayesian Persuasion in Sequential Trials," Papers 2110.09594, arXiv.org, revised Nov 2021.

    More about this item

    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:2405.18521. 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.