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Uncovered set choice rules

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  • Michele Lombardi

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.
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  • Michele Lombardi, 2008. "Uncovered set choice rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 271-279, August.
    • Handle: RePEc:spr:sochwe:v:31:y:2008:i:2:p:271-279
    DOI: 10.1007/s00355-007-0281-9
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    References listed on IDEAS

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    1. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
    2. 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.
    3. 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.
    4. Gil Kalai & Ariel Rubinstein & Ran Spiegler, 2002. "Rationalizing Choice Functions By Multiple Rationales," Econometrica, Econometric Society, vol. 70(6), pages 2481-2488, November.
    5. Fishburn, Peter C, 1991. "Nontransitive Preferences in Decision Theory," Journal of Risk and Uncertainty, Springer, vol. 4(2), pages 113-134, April.
    6. Dutta, Bhaskar, 1988. "Covering sets and a new condorcet choice correspondence," Journal of Economic Theory, Elsevier, vol. 44(1), pages 63-80, February.
    7. Paola Manzini & Marco Mariotti, 2004. "Rationalizing Boundedly Rational Choice," Microeconomics 0407005, University Library of Munich, Germany, revised 21 Dec 2005.
    8. 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.
    9. Manzini, Paola & Mariotti, Marco, 2006. "Two-Stage Boundedly Rational Choice Procedures: Theory and Experimental Evidence," IZA Discussion Papers 2341, Institute of Labor Economics (IZA).
    10. 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.
    11. Ehlers, Lars & Sprumont, Yves, 2008. "Weakened WARP and top-cycle choice rules," Journal of Mathematical Economics, Elsevier, vol. 44(1), pages 87-94, January.
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    Cited by:

    1. 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.
    2. Lombardi, Michele, 2009. "Reason-based choice correspondences," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 58-66, January.
    3. Lombardi, Michele, 2009. "Reason-based choice correspondences," Mathematical Social Sciences, Elsevier, vol. 57(1), pages 58-66, January.
    4. Nicolas Houy, 2011. "Common characterizations of the untrapped set and the top cycle," Theory and Decision, Springer, vol. 70(4), pages 501-509, April.
    5. Michele Lombardi & Marco Mariotti, 2009. "Uncovered bargaining solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(4), pages 601-610, November.
    6. Costa, Matheus & Riella, Gil, 2022. "King-chicken choice correspondences," Mathematical Social Sciences, Elsevier, vol. 120(C), pages 113-118.
    7. 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.
    8. , & ,, 2012. "Choice by lexicographic semiorders," Theoretical Economics, Econometric Society, vol. 7(1), January.
    9. Ehlers, Lars & Sprumont, Yves, 2008. "Weakened WARP and top-cycle choice rules," Journal of Mathematical Economics, Elsevier, vol. 44(1), pages 87-94, January.

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    JEL classification:

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

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