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Choice by rejection

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  • Bhardwaj, Bhavook
  • Manocha, Kriti

Abstract

This paper introduces a model of decision making that formalizes the idea of rejection behavior using binary relations. We propose a two-stage choice procedure where a decision maker in the first stage rejects the minimal alternatives from any decision problem, resulting in a new type of consideration set—the rejection filter. In the second stage, the decision maker maximizes possibly a different binary relation to choose a unique alternative. We provide an axiomatic foundation of the rejection filter and the two-stage procedure. Next, we relate our findings to the existing literature and show that our model provides a novel explanation for the two-compromise and two-decoy effects.

Suggested Citation

  • Bhardwaj, Bhavook & Manocha, Kriti, 2025. "Choice by rejection," Journal of Mathematical Economics, Elsevier, vol. 120(C).
  • Handle: RePEc:eee:mateco:v:120:y:2025:i:c:s0304406825000849
    DOI: 10.1016/j.jmateco.2025.103167
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    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. Simonson, Itamar, 1989. "Choice Based on Reasons: The Case of Attraction and Compromise Effects," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 16(2), pages 158-174, September.
    3. Kops, Christopher, 2022. "Cluster-shortlisted choice," Journal of Mathematical Economics, Elsevier, vol. 102(C).
    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. Dutta, Rohan, 2020. "Gradual pairwise comparison and stochastic choice," Theoretical Economics, Econometric Society, vol. 15(4), November.
    7. Horan, Sean, 2016. "A simple model of two-stage choice," Journal of Economic Theory, Elsevier, vol. 162(C), pages 372-406.
    8. Tatiana Sokolova & Aradhna Krishna, 2016. "Take It or Leave It: How Choosing versus Rejecting Alternatives Affects Information Processing," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 43(4), pages 614-635.
    9. 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.
    10. 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.
    11. Payró, Fernando & Ülkü, Levent, 2015. "Similarity-based mistakes in choice," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 152-156.
    12. Lombardi, Michele, 2009. "Reason-based choice correspondences," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 58-66, January.
    13. Amartya K. Sen, 1971. "Choice Functions and Revealed Preference," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(3), pages 307-317.
    14. Ehlers, Lars & Sprumont, Yves, 2008. "Weakened WARP and top-cycle choice rules," Journal of Mathematical Economics, Elsevier, vol. 44(1), pages 87-94, January.
    15. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
    16. Huber, Vandra L. & Neale, Margaret A. & Northcraft, Gregory B., 1987. "Decision bias and personnel selection strategies," Organizational Behavior and Human Decision Processes, Elsevier, vol. 40(1), pages 136-147, August.
    17. Manzini, Paola & Mariotti, Marco & Ülkü, Levent, 2024. "A model of approval with an application to list design," Journal of Economic Theory, Elsevier, vol. 217(C).
    18. Bhardwaj, Bhavook & Manocha, Kriti, 2025. "A model of rejection-based decision making," Journal of Economic Theory, Elsevier, vol. 228(C).
    19. 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.
    20. 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.
    21. Qin, Dan, 2024. "A simple model of two-stage choice," Journal of Mathematical Economics, Elsevier, vol. 112(C).
    22. 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.
    23. Jun Matsuki & Koichi Tadenuma, 2018. "Choice via grouping procedures," International Journal of Economic Theory, The International Society for Economic Theory, vol. 14(1), pages 71-84, March.
    24. abhinash Borah & Raghvi Garg, 2020. "Torn between want and should: Self regulation and behavioral choices," Working Papers 29, Ashoka University, Department of Economics.
    25. Wang, Kai, 2022. "Approval with frames," Journal of Mathematical Economics, Elsevier, vol. 103(C).
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    JEL classification:

    • D0 - Microeconomics - - General
    • D9 - Microeconomics - - Micro-Based Behavioral Economics

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