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Characterization of Generalized Weak Orders and Revealed Preference

Author

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  • Bandyopadhyay, Taradas
  • Sengupta, Kunal

Abstract

This short paper provides an alternative framework to axiomatize various binary preference relations such as semiorder, weak semiorder etc. A set of simple axioms is presented in terms of revealed-preferred and revealed-inferior alternatives which makes the connection between various binary preference relations transparent; and every single axiom is necessary and sufficient for the existence of a binary preference relation of a specified type.

Suggested Citation

  • Bandyopadhyay, Taradas & Sengupta, Kunal, 1993. "Characterization of Generalized Weak Orders and Revealed Preference," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(3), pages 571-576, July.
    • Handle: RePEc:spr:joecth:v:3:y:1993:i:3:p:571-76
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    Citations

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    Cited by:

    1. Furtado, Bruno A. & Nascimento, Leandro & Riella, Gil, 2023. "Rational choice with full-comparability domains," Journal of Economic Behavior & Organization, Elsevier, vol. 216(C), pages 124-135.
    2. Dan Qin, 2017. "Partially dominant choice with transitive preferences," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(2), pages 191-198, October.
    3. Lombardi, Michele, 2010. "What kind of preference maximization does the weak axiom of revealed non-inferiority characterize?," Mathematical Social Sciences, Elsevier, vol. 59(3), pages 323-325, May.
    4. Mandler, Michael, 2009. "Indifference and incompleteness distinguished by rational trade," Games and Economic Behavior, Elsevier, vol. 67(1), pages 300-314, September.
    5. Mauricio Ribeiro & Gil Riella, 2017. "Regular preorders and behavioral indifference," Theory and Decision, Springer, vol. 82(1), pages 1-12, January.
    6. Domenico Cantone & Alfio Giarlotta & Stephen Watson, 2019. "Congruence relations on a choice space," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(2), pages 247-294, February.
    7. Barokas, Guy, 2017. "A taxonomy of rationalization by incomplete preferences," Economics Letters, Elsevier, vol. 159(C), pages 138-141.
    8. van Hees, Martin & Jitendranath, Akshath & Luttens, Roland Iwan, 2021. "Choice functions and hard choices," Journal of Mathematical Economics, Elsevier, vol. 95(C).
    9. Bandyopadhyay, Taradas & Sengupta, Kunal, 2003. "Intransitive indifference and rationalizability of choice functions on general domains," Mathematical Social Sciences, Elsevier, vol. 46(3), pages 311-326, December.
    10. Georgios Gerasimou, 2016. "Partially dominant choice," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(1), pages 127-145, January.
    11. Eliaz, Kfir & Ok, Efe A., 2006. "Indifference or indecisiveness? Choice-theoretic foundations of incomplete preferences," Games and Economic Behavior, Elsevier, vol. 56(1), pages 61-86, July.

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