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Uncovered Set Choice Rule

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  • Michele Lombardi

    (Queen Mary, University of London)

Abstract

I study necessary and sufficient conditions for a choice function to be rationalised in the following sense: there exists a complete asymmetric relation T (a tournament) such that for each feasible (finite) choice situation, the choice coincides with the uncovered set of T. This notion of rationality explains not only cyclical and context dependent choices observed in practice, but also provides testable restrictions on observable choice behavior.

Suggested Citation

  • Michele Lombardi, 2006. "Uncovered Set Choice Rule," Working Papers 563, Queen Mary University of London, School of Economics and Finance.
    • Handle: RePEc:qmw:qmwecw:563
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    References listed on IDEAS

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    1. Paola Manzini & Marco Mariotti, 2006. "Two-stage Boundedly Rational Choice Procedures: Theory and Experimental Evidence," Working Papers 561, Queen Mary University of London, School of Economics and Finance.
    2. Gil Kalai & Ariel Rubinstein & Ran Spiegler, 2002. "Rationalizing Choice Functions By Multiple Rationales," Econometrica, Econometric Society, vol. 70(6), pages 2481-2488, November.
    3. Dutta, Bhaskar, 1988. "Covering sets and a new condorcet choice correspondence," Journal of Economic Theory, Elsevier, vol. 44(1), pages 63-80, February.
    4. Paola Manzini & Marco Mariotti, 2004. "Rationalizing Boundedly Rational Choice," Microeconomics 0407005, University Library of Munich, Germany, revised 21 Dec 2005.
    5. 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.
    6. Ehlers, Lars & Sprumont, Yves, 2008. "Weakened WARP and top-cycle choice rules," Journal of Mathematical Economics, Elsevier, vol. 44(1), pages 87-94, January.
    7. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
    8. Fishburn, Peter C & LaValle, Irving H, 1988. "Context-Dependent Choice with Nonlinear and Nontransitive Preferences," Econometrica, Econometric Society, vol. 56(5), pages 1221-1239, September.
    9. Fishburn, Peter C, 1991. "Nontransitive Preferences in Decision Theory," Journal of Risk and Uncertainty, Springer, vol. 4(2), pages 113-134, April.
    10. Zhang, Jiao & Hsee, Christopher K. & Xiao, Zhixing, 2006. "The majority rule in individual decision making," Organizational Behavior and Human Decision Processes, Elsevier, vol. 99(1), pages 102-111, January.
    11. Manzini, Paola & Mariotti, Marco, 2006. "Two-Stage Boundedly Rational Choice Procedures: Theory and Experimental Evidence," IZA Discussion Papers 2341, Institute of Labor Economics (IZA).
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Lombardi, Michele, 2009. "Reason-based choice correspondences," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 58-66, January.
    2. Lombardi, Michele, 2009. "Reason-based choice correspondences," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 58-66, January.
    3. Nicolas Houy, 2011. "Common characterizations of the untrapped set and the top cycle," Theory and Decision, Springer, vol. 70(4), pages 501-509, April.
    4. Costa, Matheus & Riella, Gil, 2022. "King-chicken choice correspondences," Mathematical Social Sciences, Elsevier, vol. 120(C), pages 113-118.
    5. Pinger, Pia & Ruhmer-Krell, Isabel & Schumacher, Heiner, 2016. "The compromise effect in action: Lessons from a restaurant's menu," Journal of Economic Behavior & Organization, Elsevier, vol. 128(C), pages 14-34.
    6. , & ,, 2012. "Choice by lexicographic semiorders," Theoretical Economics, Econometric Society, vol. 7(1), January.
    7. Ehlers, Lars & Sprumont, Yves, 2008. "Weakened WARP and top-cycle choice rules," Journal of Mathematical Economics, Elsevier, vol. 44(1), pages 87-94, January.
    8. Michele Lombardi, 2009. "Minimal covering set solutions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(4), pages 687-695, May.
    9. Michele Lombardi & Marco Mariotti, 2009. "Uncovered bargaining solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(4), pages 601-610, November.

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    More about this item

    Keywords

    Rationalizability; Uncovered set; Intransitive choice;
    All these keywords.

    JEL classification:

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

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