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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. 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.
    2. Mauricio Ribeiro & Gil Riella, 2017. "Regular preorders and behavioral indifference," Theory and Decision, Springer, vol. 82(1), pages 1-12, January.
    3. 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.
    4. 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.
    5. van Hees, Martin & Jitendranath, Akshath & Luttens, Roland Iwan, 2021. "Choice functions and hard choices," Journal of Mathematical Economics, Elsevier, vol. 95(C).
    6. 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.
    7. Mandler, Michael, 2009. "Indifference and incompleteness distinguished by rational trade," Games and Economic Behavior, Elsevier, vol. 67(1), pages 300-314, September.
    8. Barokas, Guy, 2017. "A taxonomy of rationalization by incomplete preferences," Economics Letters, Elsevier, vol. 159(C), pages 138-141.
    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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