IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2607.13974.html

Revealed Attentional Interference

Author

Listed:
  • Paul H. Y. Cheung
  • Yi-Hsuan Lin
  • Chung-Hao Sheu

Abstract

We study the impact of external stimuli on attention in the Attentional Interference Model, capturing two opposing forces in consideration-set formation: proactive and retroactive interference. Proactive interference limits the permeation of external information, while retroactive interference displaces internally generated considerations. We model these forces using parameters governing permeation and displacement. In a general setting, we characterize the tight range of these parameters and show that, across several specifications, only an upper bound on permeation is revealed. Imposing monotonicity on internal attention in one case both tightens this upper bound and yields a lower bound. We illustrate our results through simulation.

Suggested Citation

  • Paul H. Y. Cheung & Yi-Hsuan Lin & Chung-Hao Sheu, 2026. "Revealed Attentional Interference," Papers 2607.13974, arXiv.org.
  • Handle: RePEc:arx:papers:2607.13974
    as

    Download full text from publisher

    File URL: https://arxiv.org/pdf/2607.13974
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Burke, Raymond R & Srull, Thomas K, 1988. "Competitive Interference and Consumer Memory for Advertising," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 15(1), pages 55-68, June.
    2. Ke, Shaowei & Wu, Brian & Zhao, Chen, 2024. "Learning from a black box," Journal of Economic Theory, Elsevier, vol. 221(C).
    3. Lleras, Juan Sebastián & Masatlioglu, Yusufcan & Nakajima, Daisuke & Ozbay, Erkut Y., 2017. "When more is less: Limited consideration," Journal of Economic Theory, Elsevier, vol. 170(C), pages 70-85.
    4. Paola Manzini & Marco Mariotti, 2014. "Stochastic Choice and Consideration Sets," Econometrica, Econometric Society, vol. 82(3), pages 1153-1176, May.
    5. Phillips, Megan & Parsons, Andrew G. & Wilkinson, Helene J. & Ballantine, Paul W., 2015. "Competing for attention with in-store promotions," Journal of Retailing and Consumer Services, Elsevier, vol. 26(C), pages 141-146.
    6. Matias D. Cattaneo & Xinwei Ma & Yusufcan Masatlioglu & Elchin Suleymanov, 2020. "A Random Attention Model," Journal of Political Economy, University of Chicago Press, vol. 128(7), pages 2796-2836.
    7. Paulo Natenzon, 2019. "Random Choice and Learning," Journal of Political Economy, University of Chicago Press, vol. 127(1), pages 419-457.
    8. Aguiar, Victor H., 2017. "Random categorization and bounded rationality," Economics Letters, Elsevier, vol. 159(C), pages 46-52.
    9. Guney, Begum & Richter, Michael & Tsur, Matan, 2018. "Aspiration-based choice," Journal of Economic Theory, Elsevier, vol. 176(C), pages 935-956.
    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. Kovach, Matthew & Suleymanov, Elchin, 2023. "Reference dependence and random attention," Journal of Economic Behavior & Organization, Elsevier, vol. 215(C), pages 421-441.
    2. Kashaev, Nail & Aguiar, Victor H., 2022. "A random attention and utility model," Journal of Economic Theory, Elsevier, vol. 204(C).
    3. Duffy, Sean & Gussman, Steven & Smith, John, 2021. "Visual judgments of length in the economics laboratory: Are there brains in stochastic choice?," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 93(C).
    4. Edward Honda, 2021. "Categorical consideration and perception complementarity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(2), pages 693-716, March.
    5. Victor H. Aguiar & Maria Jose Boccardi & Nail Kashaev & Jeongbin Kim, 2023. "Random utility and limited consideration," Quantitative Economics, Econometric Society, vol. 14(1), pages 71-116, January.
    6. Caliari, Daniele, 2023. "Behavioural welfare analysis and revealed preference: Theory and experimental evidence," Discussion Papers, Research Unit: Economics of Change SP II 2023-303, WZB Berlin Social Science Center.
    7. Gerelt Tserenjigmid, 2021. "The Order-Dependent Luce Model," Management Science, INFORMS, vol. 67(11), pages 6915-6933, November.
    8. Gibbard, Peter, 2021. "Disentangling preferences and limited attention: Random-utility models with consideration sets," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    9. Henrik Petri & Kai Wang, 2026. "Stochastic Choice with Advertising," Papers 2608.03504, arXiv.org.
    10. Sean Duffy & John Smith, 2025. "An economist and a psychologist form a line: What can imperfect perception of length tell us about stochastic choice?," Theory and Decision, Springer, vol. 99(3), pages 701-734, November.
    11. Ryan, Matthew, 2026. "Category-dependent preferences and stochastic choice," Mathematical Social Sciences, Elsevier, vol. 140(C).
    12. Levon Barseghyan & Maura Coughlin & Francesca Molinari & Joshua C. Teitelbaum, 2021. "Heterogeneous Choice Sets and Preferences," Econometrica, Econometric Society, vol. 89(5), pages 2015-2048, September.
    13. Efe A. Ok & Gerelt Tserenjigmid, 2023. "Measuring Stochastic Rationality," Papers 2303.08202, arXiv.org, revised Dec 2023.
    14. Basu Mallik, Arkarup & Bhattacharya, Mihir & Bhowmik, Anuj, 2026. "Highlighting attributes: When less is more," Economics Letters, Elsevier, vol. 264(C).
    15. Demirkan, Yusufcan & Kimya, Mert, 2020. "Hazard rate, stochastic choice and consideration sets," Journal of Mathematical Economics, Elsevier, vol. 87(C), pages 142-150.
    16. Bhattacharya, Mihir & Mukherjee, Saptarshi & Sonal, Ruhi, 2021. "Frame-based stochastic choice rule," Journal of Mathematical Economics, Elsevier, vol. 97(C).
    17. Masatlioglu, Yusufcan & Vu, Tri Phu, 2024. "Growing attention," Journal of Economic Theory, Elsevier, vol. 222(C).
    18. Ahumada, Alonso & Ülkü, Levent, 2018. "Luce rule with limited consideration," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 52-56.
    19. Aguiar, Victor H. & Kimya, Mert, 2019. "Adaptive stochastic search," Journal of Mathematical Economics, Elsevier, vol. 81(C), pages 74-83.
    20. Honda, Edward & Ye, Lintao, 2025. "Revealed preference axioms for endogenous consideration set formation," Journal of Mathematical Economics, Elsevier, vol. 119(C).

    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:2607.13974. 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: https://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.