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Two-stage threshold representations

Author

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  • ,

    (School of Economics and Finance, University of St. Andrews)

  • ,

    (School of Economics and Finance, University of St. Andrews)

  • , J.

    (School of Economics and Finance, Queen Mary University of London)

Abstract

We study two-stage choice procedures in which the decision maker first preselects the alternatives whose values according to a criterion pass a menu-dependent threshold, and then maximizes a second criterion to narrow the selection further. This framework overlaps with several existing models that have various interpretations and impose various additional restrictions on behavior. We show that the general class of procedures is characterized by acyclicity of the revealed "first-stage separation relation."

Suggested Citation

  • , & , & , J., 2013. "Two-stage threshold representations," Theoretical Economics, Econometric Society, vol. 8(3), September.
    • Handle: RePEc:the:publsh:1048
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    References listed on IDEAS

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    1. Tyson, Christopher J., 2008. "Cognitive constraints, contraction consistency, and the satisficing criterion," Journal of Economic Theory, Elsevier, vol. 138(1), pages 51-70, January.
    2. Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Y. Ozbay, 2012. "Revealed Attention," American Economic Review, American Economic Association, vol. 102(5), pages 2183-2205, August.
    3. Fuad Aleskerov & Denis Bouyssou & Bernard Monjardet, 2007. "Utility Maximization, Choice and Preference," Springer Books, Springer, edition 0, number 978-3-540-34183-3, January.
    4. Tyson, Christopher J., 2008. "Cognitive constraints, contraction consistency, and the satisficing criterion," Journal of Economic Theory, Elsevier, vol. 138(1), pages 51-70, January.
    5. 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.
    6. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
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    Citations

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    Cited by:

    1. Schlatterer, Markus & Saur, Marc & Schmitt, Stefanie, 2019. "Horizontal product differentiation with limited attentive consumers," VfS Annual Conference 2019 (Leipzig): 30 Years after the Fall of the Berlin Wall - Democracy and Market Economy 203571, Verein für Socialpolitik / German Economic Association.
    2. Christopher Tyson, 2015. "Satisficing behavior with a secondary criterion," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 639-661, March.
    3. 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.
    4. Qin, Dan, 2021. "Exclusive shortlisting choice with reference," Economics Letters, Elsevier, vol. 198(C).
    5. Mikhail Freer & César Martinelli, 2023. "An algebraic approach to revealed preference," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(3), pages 717-742, April.
    6. Danilov, V., 2015. "Beyond Classical Rationality: Two-Stage Rationalization," Journal of the New Economic Association, New Economic Association, vol. 26(2), pages 12-35.
    7. Rochanahastin, Nuttaporn, 2020. "Assessing axioms of theories of limited attention," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 84(C).
    8. D. Pennesi, 2016. "When perfectionism becomes willpower," Working Papers wp1050, Dipartimento Scienze Economiche, Universita' di Bologna.
    9. Manzini, Paola & Mariotti, Marco & Tyson, Christopher J, 2015. "Partial Knowledge Restrictions on theTwo-Stage Threshold Model of Choice," 2007 Annual Meeting, July 29-August 1, 2007, Portland, Oregon TN 2015-58, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    10. Tserenjigmid, Gerelt, 2019. "Choosing with the worst in mind: A reference-dependent model," Journal of Economic Behavior & Organization, Elsevier, vol. 157(C), pages 631-652.
    11. Saur, Marc P. & Schlatterer, Markus G. & Schmitt, Stefanie Yvonne, 2019. "Horizontal product differentiation with limited attentive consumers," BERG Working Paper Series 143, Bamberg University, Bamberg Economic Research Group.
    12. Castillo, Geoffrey, 2020. "The attraction effect and its explanations," Games and Economic Behavior, Elsevier, vol. 119(C), pages 123-147.
    13. 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.
    14. Bleile, Jörg, 2016. "Limited Attention in Case-Based Belief Formation," Center for Mathematical Economics Working Papers 518, Center for Mathematical Economics, Bielefeld University.
    15. Daniele Pennesi, 2018. "Perfectionism and willpower," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(1), pages 101-110, April.

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    More about this item

    Keywords

    Attention; choice function; revealed preference; satisficing;
    All these keywords.

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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