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- Choice Functions: Rationality Re-Examined

Author

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  • Josep Enric Peris Ferrando

    (Universidad de Alicante)

  • Begoña Subiza

    (Universidad de Alicante)

Abstract

On analyzing the problem that arises whenever the set of maximal elements is large, and aselection is then required (see Peris and Subiza, 1998), we realize that logical ways of selectingamong maximals violate the classical notion and axioms of rationality. We arrive at the sameconclusion if we analyze solutions to the problem of choosing from a tournament (where maximalelements do not necessarily exist). So, in our opinion the notion of rationality must be discussed,not only in the traditional sense of external conditions (Sen, 1993) but in terms of the internalinformation provided by the binary relation.

Suggested Citation

  • Josep Enric Peris Ferrando & Begoña Subiza, 1999. "- Choice Functions: Rationality Re-Examined," Working Papers. Serie AD 1999-27, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    • Handle: RePEc:ivi:wpasad:1999-27
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    File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1999-27.pdf
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    References listed on IDEAS

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    1. Josep Enric Peris Ferrando & Begoña Subiza Martínez, 1997. "Choosing among maximals," Working Papers. Serie AD 1997-19, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    2. Dutta, Bhaskar, 1988. "Covering sets and a new condorcet choice correspondence," Journal of Economic Theory, Elsevier, vol. 44(1), pages 63-80, February.
    3. Deb, Rajat, 1983. "Binariness and rational choice," Mathematical Social Sciences, Elsevier, vol. 5(1), pages 97-105, August.
    4. Laffond G. & Laslier J. F. & Le Breton M., 1993. "The Bipartisan Set of a Tournament Game," Games and Economic Behavior, Elsevier, vol. 5(1), pages 182-201, January.
    5. Josep E. Peris & BegoÓa Subiza, 1999. "Condorcet choice correspondences for weak tournaments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(2), pages 217-231.
    6. Moulin, Herve, 1994. "Social choice," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 31, pages 1091-1125, Elsevier.
    7. Sen, Amartya, 1993. "Internal Consistency of Choice," Econometrica, Econometric Society, vol. 61(3), pages 495-521, May.
    8. Bhaskar Dutta & Jean-Francois Laslier, 1999. "Comparison functions and choice correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(4), pages 513-532.
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    Cited by:

    1. Josep E., Peris & Begoña, Subiza, 2015. "Rationalizable Choice and Standards of Behavior," QM&ET Working Papers 15-5, University of Alicante, D. Quantitative Methods and Economic Theory.
    2. García-Bermejo, Juan Carlos, 2012. "A Note on Selecting Maximals in Finite Spaces," Working Papers in Economic Theory 2012/06, Universidad Autónoma de Madrid (Spain), Department of Economic Analysis (Economic Theory and Economic History).
    3. Joseph, Rémy-Robert, 2010. "Making choices with a binary relation: Relative choice axioms and transitive closures," European Journal of Operational Research, Elsevier, vol. 207(2), pages 865-877, December.
    4. Joseph, Remy-Robert & Chan, Peter & Hiroux, Michael & Weil, Georges, 2007. "Decision-support with preference constraints," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1469-1494, March.

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