IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0167377.html
   My bibliography  Save this article

Three Boundary Conditions for Computing the Fixed-Point Property in Binary Mixture Data

Author

Listed:
  • Leendert van Maanen
  • Joaquina Couto
  • Mael Lebreton

Abstract

The notion of “mixtures” has become pervasive in behavioral and cognitive sciences, due to the success of dual-process theories of cognition. However, providing support for such dual-process theories is not trivial, as it crucially requires properties in the data that are specific to mixture of cognitive processes. In theory, one such property could be the fixed-point property of binary mixture data, applied–for instance- to response times. In that case, the fixed-point property entails that response time distributions obtained in an experiment in which the mixture proportion is manipulated would have a common density point. In the current article, we discuss the application of the fixed-point property and identify three boundary conditions under which the fixed-point property will not be interpretable. In Boundary condition 1, a finding in support of the fixed-point will be mute because of a lack of difference between conditions. Boundary condition 2 refers to the case in which the extreme conditions are so different that a mixture may display bimodality. In this case, a mixture hypothesis is clearly supported, yet the fixed-point may not be found. In Boundary condition 3 the fixed-point may also not be present, yet a mixture might still exist but is occluded due to additional changes in behavior. Finding the fixed-property provides strong support for a dual-process account, yet the boundary conditions that we identify should be considered before making inferences about underlying psychological processes.

Suggested Citation

  • Leendert van Maanen & Joaquina Couto & Mael Lebreton, 2016. "Three Boundary Conditions for Computing the Fixed-Point Property in Binary Mixture Data," PLOS ONE, Public Library of Science, vol. 11(11), pages 1-11, November.
  • Handle: RePEc:plo:pone00:0167377
    DOI: 10.1371/journal.pone.0167377
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0167377
    Download Restriction: no

    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0167377&type=printable
    Download Restriction: no

    File URL: https://libkey.io/10.1371/journal.pone.0167377?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
    ---><---

    References listed on IDEAS

    as
    1. David K. Levine & Drew Fudenberg, 2006. "A Dual-Self Model of Impulse Control," American Economic Review, American Economic Association, vol. 96(5), pages 1449-1476, December.
    2. Ian Krajbich & Björn Bartling & Todd Hare & Ernst Fehr, 2015. "Rethinking fast and slow based on a critique of reaction-time reverse inference," Nature Communications, Nature, vol. 6(1), pages 1-9, November.
    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. Joaquina Couto & Leendert van Maanen & Maël Lebreton, 2020. "Investigating the origin and consequences of endogenous default options in repeated economic choices," PLOS ONE, Public Library of Science, vol. 15(8), pages 1-19, August.

    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. Recalde, María P. & Riedl, Arno & Vesterlund, Lise, 2018. "Error-prone inference from response time: The case of intuitive generosity in public-good games," Journal of Public Economics, Elsevier, vol. 160(C), pages 132-147.
    2. Johannes Lohse & Timo Goeschl & Johannes H. Diederich, 2017. "Giving is a Question of Time: Response Times and Contributions to an Environmental Public Good," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 67(3), pages 455-477, July.
    3. Anja Achtziger & Carlos Alós-Ferrer & Alexander Ritschel, 2020. "Cognitive load in economic decisions," ECON - Working Papers 354, Department of Economics - University of Zurich.
    4. Gärtner, Manja, 2018. "The prosociality of intuitive decisions depends on the status quo," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 74(C), pages 127-138.
    5. Luigi Guiso, 2015. "A Test of Narrow Framing and its Origin," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 1(1), pages 61-100, March.
    6. Kerri Brick & Martine Visser & Justine Burns, 2012. "Risk Aversion: Experimental Evidence from South African Fishing Communities," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 94(1), pages 133-152.
    7. Lohse, Johannes & Goeschl, Timo & Diederich , Johannes, 2014. "Giving is a question of time: Response times and contributions to a real world public good," Working Papers 0566, University of Heidelberg, Department of Economics.
    8. André Lapied & Thomas Rongiconi, 2013. "Ambiguity as a Source of Temptation: Modeling Unstable Beliefs," Working Papers halshs-00797631, HAL.
    9. Alós-Ferrer, Carlos & Garagnani, Michele, 2020. "The cognitive foundations of cooperation," Journal of Economic Behavior & Organization, Elsevier, vol. 175(C), pages 71-85.
    10. Eddie Dekel & Barton L. Lipman & Aldo Rustichini, 2009. "Temptation-Driven Preferences," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(3), pages 937-971.
    11. Bryan, Gharad & Karlan, Dean & Nelson, Scott, 2009. "Commitment Contracts," Working Papers 73, Yale University, Department of Economics.
    12. Laureti, Carolina & Szafarz, Ariane, 2023. "Banking regulation and costless commitment contracts for time-inconsistent agents," Economic Modelling, Elsevier, vol. 129(C).
    13. Jacquemet, N. & Luchini, S. & Malézieux, A. & Shogren, J.F., 2020. "Who’ll stop lying under oath? Empirical evidence from tax evasion games," European Economic Review, Elsevier, vol. 124(C).
    14. Blair Cleave & Nikos Nikiforakis & Robert Slonim, 2013. "Is there selection bias in laboratory experiments? The case of social and risk preferences," Experimental Economics, Springer;Economic Science Association, vol. 16(3), pages 372-382, September.
    15. Ernesto Dal Bó & Marko Terviö, 2013. "Self-Esteem, Moral Capital, And Wrongdoing," Journal of the European Economic Association, European Economic Association, vol. 11(3), pages 599-663, June.
    16. repec:dgr:uvatin:20110044 is not listed on IDEAS
    17. Strulik, Holger, 2023. "Hooked on weight control: An economic theory of anorexia nervosa and its impact on health and longevity," Journal of Health Economics, Elsevier, vol. 88(C).
    18. Stefano DellaVigna, 2009. "Psychology and Economics: Evidence from the Field," Journal of Economic Literature, American Economic Association, vol. 47(2), pages 315-372, June.
    19. Brocas, Isabelle & Carrillo, Juan D., 2021. "Value computation and modulation: A neuroeconomic theory of self-control as constrained optimization," Journal of Economic Theory, Elsevier, vol. 198(C).
    20. Hicken, Allen & Leider, Stephen & Ravanilla, Nico & Yang, Dean, 2018. "Temptation in vote-selling: Evidence from a field experiment in the Philippines," Journal of Development Economics, Elsevier, vol. 131(C), pages 1-14.
    21. Khwaja, Ahmed & Silverman, Dan & Sloan, Frank, 2007. "Time preference, time discounting, and smoking decisions," Journal of Health Economics, Elsevier, vol. 26(5), pages 927-949, 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:plo:pone00:0167377. 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: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    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.