IDEAS home Printed from https://ideas.repec.org/a/eee/mateco/v94y2021ics0304406820301245.html
   My bibliography  Save this article

Shortlisting procedure with a limited capacity

Author

Listed:
  • Geng, Sen
  • Özbay, Erkut Y.

Abstract

A decision maker, who is overwhelmed by the number of available alternatives, limits her consideration. We investigate a model where a decision maker’s capacity determines whether she is overwhelmed: She considers all the available alternatives if their number does not exceed her capacity; otherwise, she applies a shortlisting procedure to reduce the number of alternatives to within her capacity. We show how to deduce the decision maker’s capacity, her preference and the alternatives that she considers from the observed behavior. Furthermore, we provide the necessary and sufficient conditions for a consideration function to be derived by the shortlisting procedure with a limited capacity.

Suggested Citation

  • Geng, Sen & Özbay, Erkut Y., 2021. "Shortlisting procedure with a limited capacity," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    • Handle: RePEc:eee:mateco:v:94:y:2021:i:c:s0304406820301245
    DOI: 10.1016/j.jmateco.2020.11.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304406820301245
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jmateco.2020.11.003?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Valentino Dardanoni & Paola Manzini & Marco Mariotti & Christopher J. Tyson, 2020. "Inferring Cognitive Heterogeneity From Aggregate Choices," Econometrica, Econometric Society, vol. 88(3), pages 1269-1296, May.
    2. Paola Manzini & Marco Mariotti, 2012. "Categorize Then Choose: Boundedly Rational Choice And Welfare," Journal of the European Economic Association, European Economic Association, vol. 10(5), pages 1141-1165, October.
    3. , & ,, 2012. "Choice by lexicographic semiorders," Theoretical Economics, Econometric Society, vol. 7(1), January.
    4. Geoffroy de Clippel & Kfir Eliaz & Kareen Rozen, 2014. "Competing for Consumer Inattention," Journal of Political Economy, University of Chicago Press, vol. 122(6), pages 1203-1234.
    5. Horan, Sean, 2016. "A simple model of two-stage choice," Journal of Economic Theory, Elsevier, vol. 162(C), pages 372-406.
    6. Chambers, Christopher P. & Yenmez, M. Bumin, 2018. "A simple characterization of responsive choice," Games and Economic Behavior, Elsevier, vol. 111(C), pages 217-221.
    7. 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.
    8. Apesteguia, Jose & Ballester, Miguel A., 2013. "Choice by sequential procedures," Games and Economic Behavior, Elsevier, vol. 77(1), pages 90-99.
    9. Elena Reutskaja & Rosemarie Nagel & Colin F. Camerer & Antonio Rangel, 2011. "Search Dynamics in Consumer Choice under Time Pressure: An Eye-Tracking Study," American Economic Review, American Economic Association, vol. 101(2), pages 900-926, April.
    10. Ortoleva, Pietro, 2013. "The price of flexibility: Towards a theory of Thinking Aversion," Journal of Economic Theory, Elsevier, vol. 148(3), pages 903-934.
    11. Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Y. Ozbay, 2012. "Revealed Attention," American Economic Review, American Economic Association, vol. 102(5), pages 2183-2205, August.
    12. Hauser, John R., 2014. "Consideration-set heuristics," Journal of Business Research, Elsevier, vol. 67(8), pages 1688-1699.
    13. Au, Pak Hung & Kawai, Keiichi, 2011. "Sequentially rationalizable choice with transitive rationales," Games and Economic Behavior, Elsevier, vol. 73(2), pages 608-614.
    14. Elisabeth Honka & Ali Hortaçsu & Maria Ana Vitorino, 2017. "Advertising, consumer awareness, and choice: evidence from the U.S. banking industry," RAND Journal of Economics, RAND Corporation, vol. 48(3), pages 611-646, August.
    15. Elisabeth Honka & Pradeep Chintagunta, 2017. "Simultaneous or Sequential? Search Strategies in the U.S. Auto Insurance Industry," Marketing Science, INFORMS, vol. 36(1), pages 21-42, January.
    16. Thomas Demuynck & Christian Seel, 2018. "Revealed Preference with Limited Consideration," American Economic Journal: Microeconomics, American Economic Association, vol. 10(1), pages 102-131, February.
    17. Rohan Dutta & Sean Horan, 2015. "Inferring Rationales from Choice: Identification for Rational Shortlist Methods," American Economic Journal: Microeconomics, American Economic Association, vol. 7(4), pages 179-201, November.
    18. Sen Geng, 2016. "Decision Time, Consideration Time, And Status Quo Bias," Economic Inquiry, Western Economic Association International, vol. 54(1), pages 433-449, January.
    19. Stigler, George J., 2011. "Economics of Information," Ekonomicheskaya Politika / Economic Policy, Russian Presidential Academy of National Economy and Public Administration, vol. 5, pages 35-49.
    20. Deborah E. Rosen & James M. Curran & Timothy B. Greenlee, 1998. "College Choice in a Brand Elimination Framework: The Administrator's Perspective," Journal of Marketing for Higher Education, Taylor & Francis Journals, vol. 8(4), pages 61-81, August.
    21. Yuval Salant & Ariel Rubinstein, 2008. "(A, f): Choice with Frames -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(4), pages 1287-1296.
    22. Kfir Eliaz & Michael Richter & Ariel Rubinstein, 2011. "Choosing the two finalists," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(2), pages 211-219, February.
    23. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
    24. ,, 2016. "List-rationalizable choice," Theoretical Economics, Econometric Society, vol. 11(2), May.
    25. Gent Bajraj & Levent Ülkü, 2015. "Choosing two finalists and the winner," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(4), pages 729-744, December.
    26. Haluk Ergin & Todd Sarver, 2010. "A Unique Costly Contemplation Representation," Econometrica, Econometric Society, vol. 78(4), pages 1285-1339, July.
    27. Gur Huberman & Tomer Regev, 2001. "Contagious Speculation and a Cure for Cancer: A Nonevent that Made Stock Prices Soar," Journal of Finance, American Finance Association, vol. 56(1), pages 387-396, February.
    28. Deborah E. Rosen & James M. Curran & Timothy B. Greenlee, 1998. "College Choice in a Brand Elimination Framework: The High School Student's Perspective," Journal of Marketing for Higher Education, Taylor & Francis Journals, vol. 8(3), pages 73-92, July.
    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. Geng, Sen, 2022. "Limited consideration model with a trigger or a capacity," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    2. Davide Carpentiere & Angelo Petralia, 2023. "Identification of consideration sets from choice data," Papers 2302.00978, arXiv.org, revised Mar 2024.

    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. Geng, Sen, 2022. "Limited consideration model with a trigger or a capacity," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    2. 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.
    3. Kops, Christopher, 2022. "Cluster-shortlisted choice," Journal of Mathematical Economics, Elsevier, vol. 102(C).
    4. Horan, Sean, 2016. "A simple model of two-stage choice," Journal of Economic Theory, Elsevier, vol. 162(C), pages 372-406.
    5. Bleile, Jörg, 2016. "Limited Attention in Case-Based Belief Formation," Center for Mathematical Economics Working Papers 518, Center for Mathematical Economics, Bielefeld University.
    6. Juan Lleras & Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Ozbay, 2021. "Path-Independent Consideration," Games, MDPI, vol. 12(1), pages 1-10, March.
    7. Paola Manzini & Marco Mariotti, 2015. "State dependent choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(2), pages 239-268, September.
    8. García-Sanz, María D. & Alcantud, José Carlos R., 2015. "Sequential rationalization of multivalued choice," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 29-33.
    9. Kashaev, Nail & Aguiar, Victor H., 2022. "A random attention and utility model," Journal of Economic Theory, Elsevier, vol. 204(C).
    10. Valentino Dardanoni & Paola Manzini & Marco Mariotti & Christopher J. Tyson, 2020. "Inferring Cognitive Heterogeneity From Aggregate Choices," Econometrica, Econometric Society, vol. 88(3), pages 1269-1296, May.
    11. Manzini, Paola & Mariotti, Marco & Tyson, Christopher J., 2016. "Partial knowledge restrictions on the two-stage threshold model of choice," Journal of Mathematical Economics, Elsevier, vol. 64(C), pages 41-47.
    12. Alfio Giarlotta & Angelo Petralia & Stephen Watson, 2022. "On the number of non-isomorphic choices on four elements," Papers 2206.06840, arXiv.org.
    13. Yuta Inoue, 2020. "Growing Consideration," Working Papers 2003, Waseda University, Faculty of Political Science and Economics.
    14. Gent Bajraj & Levent Ülkü, 2015. "Choosing two finalists and the winner," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(4), pages 729-744, December.
    15. Manzini, Paola & Mariotti, Marco & Tyson, Christopher J., 2016. "Partial knowledge restrictions on the two-stage threshold model of choice," Journal of Mathematical Economics, Elsevier, vol. 64(C), pages 41-47.
    16. Qin, Dan, 2024. "A simple model of two-stage choice," Journal of Mathematical Economics, Elsevier, vol. 112(C).
    17. Giarlotta, Alfio & Petralia, Angelo & Watson, Stephen, 2022. "Bounded rationality is rare," Journal of Economic Theory, Elsevier, vol. 204(C).
    18. Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Y. Ozbay, 2012. "Revealed Attention," American Economic Review, American Economic Association, vol. 102(5), pages 2183-2205, August.
    19. Salvador Barberà & Geoffroy de Clippel & Alejandro Neme & Kareen Rozen, 2022. "Order-k rationality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(4), pages 1135-1153, June.
    20. Cuhadaroglu, Tugce, 2015. "Choosing on Influence," SIRE Discussion Papers 2015-59, Scottish Institute for Research in Economics (SIRE).

    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:eee:mateco:v:94:y:2021:i:c:s0304406820301245. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jmateco .

    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.