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On lexicographic choice

Author

Listed:
  • Chambers, Christopher P.
  • Yenmez, M. Bumin

Abstract

We show that every lexicographic choice function is acceptant and path independent. Furthermore, there exists an acceptant and path independent choice function that is not lexicographic.

Suggested Citation

  • Chambers, Christopher P. & Yenmez, M. Bumin, 2018. "On lexicographic choice," Economics Letters, Elsevier, vol. 171(C), pages 222-224.
  • Handle: RePEc:eee:ecolet:v:171:y:2018:i:c:p:222-224
    DOI: 10.1016/j.econlet.2018.08.006
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    References listed on IDEAS

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    1. Battal Dogan & Serhat Dogan & Kemal Yildiz, 2017. "Lexicographic Choice under Variable Capacity Constraints," Cahiers de Recherches Economiques du Département d'économie 17.02, Université de Lausanne, Faculté des HEC, Département d’économie.
    2. Kominers, Scott Duke & Sönmez, Tayfun, 2016. "Matching with slot-specific priorities: theory," Theoretical Economics, Econometric Society, vol. 11(2), May.
    3. Ehlers, Lars & Hafalir, Isa E. & Yenmez, M. Bumin & Yildirim, Muhammed A., 2014. "School choice with controlled choice constraints: Hard bounds versus soft bounds," Journal of Economic Theory, Elsevier, vol. 153(C), pages 648-683.
    4. Christopher P. Chambers & M. Bumin Yenmez, 2017. "Choice and Matching," American Economic Journal: Microeconomics, American Economic Association, vol. 9(3), pages 126-147, August.
    5. Ahmet Alkan, 2001. "original papers : On preferences over subsets and the lattice structure of stable matchings," Review of Economic Design, Springer;Society for Economic Design, vol. 6(1), pages 99-111.
    6. Fuhito Kojima & Mihai Manea, 2010. "Axioms for Deferred Acceptance," Econometrica, Econometric Society, vol. 78(2), pages 633-653, March.
    7. Federico Echenique & M. Bumin Yenmez, 2015. "How to Control Controlled School Choice," American Economic Review, American Economic Association, vol. 105(8), pages 2679-2694, August.
    8. Chambers, Christopher P. & Yenmez, M. Bumin, 2018. "A simple characterization of responsive choice," Games and Economic Behavior, Elsevier, vol. 111(C), pages 217-221.
    9. Alexander Westkamp, 2013. "An analysis of the German university admissions system," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(3), pages 561-589, August.
    10. Hafalir, Isa Emin & Yenmez, M. Bumin & Yildirim, Muhammed Ali, 2013. "Effective affirmative action in school choice," Theoretical Economics, Econometric Society, vol. 8(2), May.
    11. Orhan Ayg?n & Tayfun S?nmez, 2013. "Matching with Contracts: Comment," American Economic Review, American Economic Association, vol. 103(5), pages 2050-2051, August.
    12. Aygün, Orhan & Turhan, Bertan, 2020. "Dynamic reserves in matching markets," Journal of Economic Theory, Elsevier, vol. 188(C).
    13. Orhan Aygün & Tayfun Sönmez, 2012. "The Importance of Irrelevance of Rejected Contracts in Matching under Weakened Substitutes Conditions," Boston College Working Papers in Economics 805, Boston College Department of Economics.
    14. Plott, Charles R, 1973. "Path Independence, Rationality, and Social Choice," Econometrica, Econometric Society, vol. 41(6), pages 1075-1091, November.
    15. Johnson, Mark R. & Dean, Richard A., 2001. "Locally complete path independent choice functions and their lattices," Mathematical Social Sciences, Elsevier, vol. 42(1), pages 53-87, July.
    16. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
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    Citations

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    Cited by:

    1. Michelle Avataneo & Bertan Turhan, 2020. "Slot-specific Priorities with Capacity Transfers," Papers 2004.13265, arXiv.org, revised Sep 2020.
    2. Battal Dogan & Serhat Dogan & Kemal Yildiz, 2017. "Lexicographic Choice under Variable Capacity Constraints," Cahiers de Recherches Economiques du Département d'économie 17.02, Université de Lausanne, Faculté des HEC, Département d’économie.
    3. Yang, Yi-You, 2020. "Rationalizable choice functions," Games and Economic Behavior, Elsevier, vol. 123(C), pages 120-126.
    4. Orhan Aygun & Bertan Turhan, 2020. "Matching with Generalized Lexicographic Choice Rules," Papers 2004.13261, arXiv.org, revised Jul 2020.
    5. Avataneo, Michelle & Turhan, Bertan, 2020. "Slot-specific Priorities with Capacity Transfers," ISU General Staff Papers 202009010700001099, Iowa State University, Department of Economics.

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    More about this item

    Keywords

    Lexicographic choice; Path independence; Acceptance;
    All these keywords.

    JEL classification:

    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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