IDEAS home Printed from https://ideas.repec.org/p/mtl/montde/2016-01.html
   My bibliography  Save this paper

A simple model of two-stage choice

Author

Listed:
  • HORAN, Sean

Abstract

I provide choice-theoretic foundations for a simple two-stage model, called transitive shortlist methods, where choices are made by sequentially by applying a pair of transitive preferences (or rationales) to eliminate inferior alternatives. Despite its simplicity, the model accommodates a wide range of choice phenomena including the status quo bias, framing, homophily, compromise, and limited willpower. I establish that the model can be succinctly characterized in terms of some well-documented context effects in choice. I also show that the underlying rationales are straightforward to determine from readily observable reversals in choice. Finally, I highlight the usefulness of these results in a variety of applications.

Suggested Citation

  • HORAN, Sean, 2016. "A simple model of two-stage choice," Cahiers de recherche 2016-01, Universite de Montreal, Departement de sciences economiques.
  • Handle: RePEc:mtl:montde:2016-01
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/1866/13024
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Spiegler, Ran, 2014. "Bounded Rationality and Industrial Organization," OUP Catalogue, Oxford University Press, number 9780199334261.
    3. Eddie Dekel & Barton L. Lipman, 2010. "How (Not) to Do Decision Theory," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 257-282, September.
    4. Apesteguia, Jose & Ballester, Miguel A., 2013. "Choice by sequential procedures," Games and Economic Behavior, Elsevier, vol. 77(1), pages 90-99.
    5. 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.
    6. Caplin, Andrew & Schotter, Andrew, 2008. "The Foundations of Positive and Normative Economics: A Handbook," OUP Catalogue, Oxford University Press, number 9780195328318.
    7. Atila Abdulkadiroglu & Tayfun Sonmez, 1998. "Random Serial Dictatorship and the Core from Random Endowments in House Allocation Problems," Econometrica, Econometric Society, vol. 66(3), pages 689-702, May.
    8. Geoffroy de Clippel, 2014. "Behavioral Implementation," American Economic Review, American Economic Association, vol. 104(10), pages 2975-3002, October.
    9. Matsuki, Jun & Tadenuma, Koichi & 蓼沼, 宏一, 2013. "Choice via Grouping Procedures," CCES Discussion Paper Series 52, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.
    10. Arouri, Mohamed & Teulon, Frédéric & Rault, Christophe, 2013. "Equity risk premium and regional integration," International Review of Financial Analysis, Elsevier, vol. 28(C), pages 79-85.
    11. Au, Pak Hung & Kawai, Keiichi, 2011. "Sequentially rationalizable choice with transitive rationales," Games and Economic Behavior, Elsevier, vol. 73(2), pages 608-614.
    12. Masatlioglu, Yusufcan & Ok, Efe A., 2005. "Rational choice with status quo bias," Journal of Economic Theory, Elsevier, vol. 121(1), pages 1-29, March.
    13. Cuhadaroglu, Tugce, 2015. "Choosing on Influence," SIRE Discussion Papers 2015-59, Scottish Institute for Research in Economics (SIRE).
    14. Cuhadaroglu, Tugce, 2015. "Choosing on Influence," 2007 Annual Meeting, July 29-August 1, 2007, Portland, Oregon TN 2015-59, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    15. ., 2013. "Industrial policy of the Obama administration," Chapters, in: Industrial Policy in America, chapter 5, pages 96-102, Edward Elgar Publishing.
    16. Elif Berna Var & Vedia Dokmeci, 2013. "Age And Cohort Effects On Regional Migration In Turkey," ERSA conference papers ersa13p233, European Regional Science Association.
    17. ., 2013. "Corporations, culture and accountability," Chapters, in: The Political Power of the Business Corporation, chapter 8, pages 177-196, Edward Elgar Publishing.
    18. Spears Dean, 2011. "Intertemporal Bounded Rationality as Consideration Sets with Contraction Consistency," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-16, June.
    19. Christopher Tyson, 2013. "Behavioral implications of shortlisting procedures," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 941-963, October.
    20. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
    21. Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Y. Ozbay, 2012. "Revealed Attention," American Economic Review, American Economic Association, vol. 102(5), pages 2183-2205, August.
    22. García-Sanz, María D. & Alcantud, José Carlos R., 2015. "Sequential rationalization of multivalued choice," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 29-33.
    23. ,, 2016. "List-rationalizable choice," Theoretical Economics, Econometric Society, vol. 11(2), May.
    24. 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.
    25. Ville Korpela, 2012. "Implementation without rationality assumptions," Theory and Decision, Springer, vol. 72(2), pages 189-203, February.
    26. ., 2013. "The corporation as a political actor," Chapters, in: The Political Power of the Business Corporation, chapter 2, pages 21-41, Edward Elgar Publishing.
    27. Wei He & Nicholas C. Yannelis, 2013. "A New Perspective on Rational Expectations," Economics Discussion Paper Series 1317, Economics, The University of Manchester.
    28. Huber, Joel & Payne, John W & Puto, Christopher, 1982. "Adding Asymmetrically Dominated Alternatives: Violations of Regularity and the Similarity Hypothesis," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 9(1), pages 90-98, June.
    29. Moore, John & Repullo, Rafael, 1990. "Nash Implementation: A Full Characterization," Econometrica, Econometric Society, vol. 58(5), pages 1083-1099, September.
    30. Botond Köszegi, 2014. "Behavioral Contract Theory," Journal of Economic Literature, American Economic Association, vol. 52(4), pages 1075-1118, December.
    31. Tugce Cuhadaroglu, 2015. "Choosing on Influence," Discussion Paper Series, School of Economics and Finance 201504, School of Economics and Finance, University of St Andrews.
    32. Nicolas Houy, 2008. "Progressive knowledge revealed preferences and sequential rationalizability," Working Papers hal-00360546, HAL.
    33. Eriksson, Tor & Pan, Jay & Qin, Xuezheng, 2014. "The intergenerational inequality of health in China," China Economic Review, Elsevier, vol. 31(C), pages 392-409.
    34. ., 2013. "Haavelmo reconsidered as rational econometric man," Chapters, in: Rational Econometric Man, chapter 2, pages 35-60, Edward Elgar Publishing.
    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. Tugce Cuhadaroglu, 2015. "Choosing on Influence," Discussion Paper Series, School of Economics and Finance 201504, School of Economics and Finance, University of St Andrews.
    2. Kops, Christopher, 2022. "Cluster-shortlisted choice," Journal of Mathematical Economics, Elsevier, vol. 102(C).
    3. Ahumada, Alonso & Ülkü, Levent, 2018. "Luce rule with limited consideration," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 52-56.
    4. Geng, Sen, 2022. "Limited consideration model with a trigger or a capacity," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    5. Alvaro Sandroni & Leo Katz, 2024. "The leveling axiom," Theory and Decision, Springer, vol. 96(1), pages 135-152, February.
    6. David M. Ramsey, 2020. "A Game Theoretic Model of Choosing a Valuable Good via a Short List Heuristic," Mathematics, MDPI, vol. 8(2), pages 1-20, February.
    7. Guy Barokas & Burak Ünveren, 2022. "Impressionable Rational Choice: Revealed-Preference Theory with Framing Effects," Mathematics, MDPI, vol. 10(23), pages 1-19, November.
    8. Kashaev, Nail & Aguiar, Victor H., 2022. "A random attention and utility model," Journal of Economic Theory, Elsevier, vol. 204(C).
    9. Nosratabadi, Hassan, 2024. "Rational Shortlist Method with refined rationales," Mathematical Social Sciences, Elsevier, vol. 127(C), pages 12-18.
    10. Qin, Dan, 2021. "Exclusive shortlisting choice with reference," Economics Letters, Elsevier, vol. 198(C).
    11. Horan, Sean & Sprumont, Yves, 2022. "Two-stage majoritarian choice," Theoretical Economics, Econometric Society, vol. 17(2), May.
    12. David Freeman, 2013. "Revealed Preference Foundations of Expectations-Based Reference-Dependence," Discussion Papers dp13-10, Department of Economics, Simon Fraser University.
    13. Matsuki, Jun & Tadenuma, Koichi & 蓼沼, 宏一, 2013. "Choice via Grouping Procedures," CCES Discussion Paper Series 52, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.
    14. Geng, Sen & Özbay, Erkut Y., 2021. "Shortlisting procedure with a limited capacity," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    15. Guy Barokas, 2020. "Identifying changing taste from demand data via golden eggs," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(1), pages 47-68, January.
    16. Juan Lleras & Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Ozbay, 2021. "Path-Independent Consideration," Games, MDPI, vol. 12(1), pages 1-10, March.
    17. Gian Caspari & Manshu Khanna, 2021. "Non-Standard Choice in Matching Markets," Papers 2111.06815, arXiv.org, revised Aug 2024.
    18. Özgür Kıbrıs & Yusufcan Masatlioglu & Elchin Suleymanov, 2023. "A theory of reference point formation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(1), pages 137-166, January.
    19. abhinash Borah & Raghvi Garg, 2020. "Torn between want and should: Self regulation and behavioral choices," Working Papers 29, Ashoka University, Department of Economics.
    20. Mario Vazquez Corte, 2020. "A Model of Choice with Minimal Compromise," Papers 2010.08771, arXiv.org, revised Oct 2020.
    21. Bleile, Jörg, 2016. "Limited Attention in Case-Based Belief Formation," Center for Mathematical Economics Working Papers 518, Center for Mathematical Economics, Bielefeld University.
    22. Bhavook Bhardwaj & Kriti Manocha, 2021. "Choice by Rejection," Papers 2108.07424, arXiv.org.
    23. Cuhadaroglu, Tugce, 2015. "Choosing on Influence," SIRE Discussion Papers 2015-59, Scottish Institute for Research in Economics (SIRE).
    24. Cuhadaroglu, Tugce, 2017. "Choosing on influence," Theoretical Economics, Econometric Society, vol. 12(2), May.
    25. Qin, Dan, 2024. "A simple model of two-stage choice," Journal of Mathematical Economics, Elsevier, vol. 112(C).

    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. García-Sanz, María D. & Alcantud, José Carlos R., 2015. "Sequential rationalization of multivalued choice," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 29-33.
    2. 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.
    3. Danilov, V., 2015. "Beyond Classical Rationality: Two-Stage Rationalization," Journal of the New Economic Association, New Economic Association, vol. 26(2), pages 12-35.
    4. Geoffroy de Clippel, 2014. "Behavioral Implementation," American Economic Review, American Economic Association, vol. 104(10), pages 2975-3002, October.
    5. Dean, Mark & Kıbrıs, Özgür & Masatlioglu, Yusufcan, 2017. "Limited attention and status quo bias," Journal of Economic Theory, Elsevier, vol. 169(C), pages 93-127.
    6. 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.
    7. 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.
    8. Özgür Kıbrıs & Yusufcan Masatlioglu & Elchin Suleymanov, 2023. "A theory of reference point formation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(1), pages 137-166, January.
    9. T. Hayashi & R. Jain & V. Korpela & M. Lombardi, 2023. "Behavioral strong implementation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(4), pages 1257-1287, November.
    10. Nishimura, Hiroki & Ok, Efe A., 2016. "Utility representation of an incomplete and nontransitive preference relation," Journal of Economic Theory, Elsevier, vol. 166(C), pages 164-185.
    11. Geng, Sen & Özbay, Erkut Y., 2021. "Shortlisting procedure with a limited capacity," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    12. Yoram Halevy & Dotan Persitz & Lanny Zrill, 2018. "Parametric Recoverability of Preferences," Journal of Political Economy, University of Chicago Press, vol. 126(4), pages 1558-1593.
    13. Qin, Dan, 2024. "A simple model of two-stage choice," Journal of Mathematical Economics, Elsevier, vol. 112(C).
    14. Cuhadaroglu, Tugce, 2015. "Choosing on Influence," SIRE Discussion Papers 2015-59, Scottish Institute for Research in Economics (SIRE).
    15. Juan Lleras & Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Ozbay, 2021. "Path-Independent Consideration," Games, MDPI, vol. 12(1), pages 1-10, March.
    16. Tugce Cuhadaroglu, 2015. "Choosing on Influence," Discussion Paper Series, School of Economics and Finance 201504, School of Economics and Finance, University of St Andrews.
    17. Alfio Giarlotta & Angelo Petralia & Stephen Watson, 2022. "Semantics meets attractiveness: Choice by salience," Papers 2204.08798, arXiv.org, revised Aug 2022.
    18. Giarlotta, Alfio & Petralia, Angelo & Watson, Stephen, 2022. "Bounded rationality is rare," Journal of Economic Theory, Elsevier, vol. 204(C).
    19. Gian Caspari & Manshu Khanna, 2021. "Non-Standard Choice in Matching Markets," Papers 2111.06815, arXiv.org, revised Aug 2024.
    20. Riella, Gil & Teper, Roee, 2014. "Probabilistic dominance and status quo bias," Games and Economic Behavior, Elsevier, vol. 87(C), pages 288-304.

    More about this item

    Keywords

    Shortlisting; axiomatization; revealed preference; identification;
    All these keywords.

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:mtl:montde:2016-01. 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: Sharon BREWER (email available below). General contact details of provider: https://edirc.repec.org/data/demtlca.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.