IDEAS home Printed from https://ideas.repec.org/a/wly/emetrp/v90y2022i3p1225-1260.html
   My bibliography  Save this article

Signaling Under Double‐Crossing Preferences

Author

Listed:
  • Chia‐Hui Chen
  • Junichiro Ishida
  • Wing Suen

Abstract

This paper provides a general analysis of signaling under double‐crossing preferences with a continuum of types. There are natural economic environments where the indifference curves of two types cross twice, such that the celebrated single‐crossing property fails to hold. Equilibrium exhibits a threshold type below which types choose actions that are fully revealing and above which they pool in a pairwise fashion, with a gap separating the actions chosen by these two sets of types. The resulting signaling action is quasi‐concave in type. We also provide an algorithm to establish equilibrium existence by construction.

Suggested Citation

  • Chia‐Hui Chen & Junichiro Ishida & Wing Suen, 2022. "Signaling Under Double‐Crossing Preferences," Econometrica, Econometric Society, vol. 90(3), pages 1225-1260, May.
  • Handle: RePEc:wly:emetrp:v:90:y:2022:i:3:p:1225-1260
    DOI: 10.3982/ECTA19210
    as

    Download full text from publisher

    File URL: https://doi.org/10.3982/ECTA19210
    Download Restriction: no

    File URL: https://libkey.io/10.3982/ECTA19210?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Matthews, Steven & Moore, John, 1987. "Monopoly Provision of Quality and Warranties: An Exploration in the Theory of Multidimensional Screening," Econometrica, Econometric Society, vol. 55(2), pages 441-467, March.
    2. Catherine Bobtcheff & Raphaël Levy, 2017. "More Haste, Less Speed? Signaling through Investment Timing," American Economic Journal: Microeconomics, American Economic Association, vol. 9(3), pages 148-186, August.
    3. Shuo Liu & Harry Pei, 2017. "Monotone equilibria in signalling games," ECON - Working Papers 252, Department of Economics - University of Zurich.
    4. Dobrin R. Kolev & Thomas J. Prusa, 2021. "Dumping and double crossing: The (in)effectiveness of cost-based trade policy under incomplete information," World Scientific Book Chapters, in: Thomas J Prusa (ed.), Economic Effects of Antidumping, chapter 7, pages 129-152, World Scientific Publishing Co. Pte. Ltd..
    5. Nick Feltovich & Richmond Harbaugh & Ted To, 2002. "Too Cool for School? Signalling and Countersignalling," RAND Journal of Economics, The RAND Corporation, vol. 33(4), pages 630-649, Winter.
    6. Navin Kartik, 2009. "Strategic Communication with Lying Costs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(4), pages 1359-1395.
    7. Araujo, Aloisio & Moreira, Humberto, 2010. "Adverse selection problems without the Spence-Mirrlees condition," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1113-1141, May.
    8. Smart, Michael, 2000. "Competitive Insurance Markets with Two Unobservables," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(1), pages 153-169, February.
    9. Leland, Hayne E & Pyle, David H, 1977. "Informational Asymmetries, Financial Structure, and Financial Intermediation," Journal of Finance, American Finance Association, vol. 32(2), pages 371-387, May.
    10. Aloisio Araujo & Daniel Gottlieb & Humberto Moreira, 2007. "A model of mixed signals with applications to countersignalling," RAND Journal of Economics, RAND Corporation, vol. 38(4), pages 1020-1043, December.
    11. Bernheim, B Douglas, 1994. "A Theory of Conformity," Journal of Political Economy, University of Chicago Press, vol. 102(5), pages 841-877, October.
    12. Chia-Hui Chen & Junichiro Ishida & Wing Suen, 2021. "Reputation Concerns in Risky Experimentation [Reputation and Survival: Learning in a Dynamic Signalling Model]," Journal of the European Economic Association, European Economic Association, vol. 19(4), pages 1981-2021.
    13. Daley, Brendan & Green, Brett, 2014. "Market signaling with grades," Journal of Economic Theory, Elsevier, vol. 151(C), pages 114-145.
    14. Mailath, George J, 1987. "Incentive Compatibility in Signaling Games with a Continuum of Types," Econometrica, Econometric Society, vol. 55(6), pages 1349-1365, November.
    15. Chung, Kim-Sau & Eső, Péter, 2013. "Persuasion and learning by countersignaling," Economics Letters, Elsevier, vol. 121(3), pages 487-491.
    16. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    17. Eric Maskin & John Riley, 1984. "Monopoly with Incomplete Information," RAND Journal of Economics, The RAND Corporation, vol. 15(2), pages 171-196, Summer.
    18. Liu, Shuo & Pei, Harry, 2020. "Monotone equilibria in signaling games," European Economic Review, Elsevier, vol. 124(C).
    19. Schottmüller, Christoph, 2015. "Adverse selection without single crossing: Monotone solutions," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 127-164.
    20. Michael Spence, 1973. "Job Market Signaling," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 87(3), pages 355-374.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hallman, Alice & Spiro, Daniel, 2023. "A theory of hypocrisy," Journal of Economic Behavior & Organization, Elsevier, vol. 211(C), pages 401-410.
    2. Takaaki Hamada, 2023. "Endogenous timing in tax competition: The effect of asymmetric information," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(3), pages 570-614, June.

    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. Chia-Hui Chen & Junichiro Ishida & Wing Suen, 2020. "Signaling under Double-Crossing Preferences," ISER Discussion Paper 1103r, Institute of Social and Economic Research, Osaka University, revised Dec 2020.
    2. Chia-Hui Chen & Junichiro Ishida & Wing Suen, 2020. "Signaling under Double-Crossing Preferences," ISER Discussion Paper 1103, Institute of Social and Economic Research, Osaka University.
    3. Chia-Hui Chen & Junichiro Ishida & Wing Suen, 2022. "Signaling under Double-Crossing Preferences: The Case of Discrete Types," ISER Discussion Paper 1166, Institute of Social and Economic Research, Osaka University.
    4. Sadowski, Philipp, 2016. "Overeagerness," Journal of Economic Behavior & Organization, Elsevier, vol. 131(PA), pages 114-125.
    5. Daley, Brendan & Green, Brett, 2014. "Market signaling with grades," Journal of Economic Theory, Elsevier, vol. 151(C), pages 114-145.
    6. Schottmüller, Christoph, 2015. "Adverse selection without single crossing: Monotone solutions," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 127-164.
    7. Helmut Bester & Matthias Lang & Jianpei Li, 2021. "Signaling versus Auditing," RAND Journal of Economics, RAND Corporation, vol. 52(4), pages 859-883, December.
    8. Hedlund, Jonas, 2017. "Bayesian persuasion by a privately informed sender," Journal of Economic Theory, Elsevier, vol. 167(C), pages 229-268.
    9. Tomás Rodríguez Barraquer & Xu Tan, 2023. "A model of competitive signaling with rich message spaces," Review of Economic Design, Springer;Society for Economic Design, vol. 27(1), pages 1-43, February.
    10. Bernheim, B. Douglas & Bodoh-Creed, Aaron L., 2023. "Pervasive signaling," Theoretical Economics, Econometric Society, vol. 18(1), January.
    11. Mailath, George J. & von Thadden, Ernst-Ludwig, 2013. "Incentive compatibility and differentiability: New results and classic applications," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1841-1861.
    12. Arianna Degan & Ming Li, 2021. "Persuasion with costly precision," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(3), pages 869-908, October.
    13. Bester, Helmut & Lang, Matthias & Li, Jianpei, 2018. "Signaling versus costly information acquisition," Discussion Papers 2018/11, Free University Berlin, School of Business & Economics.
    14. Philipp Denter & John Morgan & Dana Sisak, 2022. "Showing Off or Laying Low? The Economics of Psych-outs," American Economic Journal: Microeconomics, American Economic Association, vol. 14(1), pages 529-580, February.
    15. Maté Fodor & Jean Luc De Meulemeester & Denis Rochat, 2019. "The Wavering Economic Thought About The Link Between Education And Growth," Working Papers CEB 19-006, ULB -- Universite Libre de Bruxelles.
    16. Chia-Hui Chen & Junichiro Ishida & Wing Suen, 2021. "Reputation Concerns in Risky Experimentation [Reputation and Survival: Learning in a Dynamic Signalling Model]," Journal of the European Economic Association, European Economic Association, vol. 19(4), pages 1981-2021.
    17. Harbaugh, Richmond & To, Theodore, 2020. "False modesty: When disclosing good news looks bad," Journal of Mathematical Economics, Elsevier, vol. 87(C), pages 43-55.
    18. Liu, Shuo & Pei, Harry, 2020. "Monotone equilibria in signaling games," European Economic Review, Elsevier, vol. 124(C).
    19. Brett, Craig & Weymark, John A., 2011. "How optimal nonlinear income taxes change when the distribution of the population changes," Journal of Public Economics, Elsevier, vol. 95(11), pages 1239-1247.
    20. Hisashi Sawaki, 2015. "Horizontal Mergers Under Asymmetric Information About Synergies," Australian Economic Papers, Wiley Blackwell, vol. 54(3), pages 167-184, September.

    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:wly:emetrp:v:90:y:2022:i:3:p:1225-1260. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/essssea.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.