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Intransitive indifference with direction-dependent sensitivity

Author

Listed:
  • Nobuo Koida

    (Faculty of Policy Studies, Iwate Prefectural University)

Abstract
Much of the literature has argued that intransitive indifference is more likely to occur when alternatives have con icting criteria than when one alternative dominates the other. To study such a phenomenon, we first axiomatize the essentially unique expected utility with direction-dependent sensitivity (EUDS) representation on the set of lotteries which extend the classic models of imperfect discrimination (e.g., Fishburn, 1970a; Luce, 1956) to enable a direction-dependent just-noticeable di erence function. The key axioms in this characterization are irresolute independence, wherein mixing lternatives with another may (or may not) alter a strict preference for indifference while preserving indifference, and strict preference convexity, which obtains the convexity of strict upper and lower contour sets. Thereafter, we indicate that intransitive indifference in EUDS can be divided into that caused by imperfect discrimination (Fishburn, 1970a; Luce, 1956) and that caused by uncertainty about tastes (Dubra et al., 2004) by considering the transitive core (Nishimura, 2018) of EUDS. We also obtain two special cases of our model, i.e., one-directional and categorical sensitivity.

Suggested Citation

  • Nobuo Koida, 2021. "Intransitive indifference with direction-dependent sensitivity," KIER Working Papers 1061, Kyoto University, Institute of Economic Research.
    • Handle: RePEc:kyo:wpaper:1061
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    File URL: https://www.kier.kyoto-u.ac.jp/wp/wp-content/uploads/2021/06/DP1061.pdf
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    References listed on IDEAS

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    1. Gilboa, Itzhak & Lapson, Robert, 1995. "Aggregation of Semiorders: Intransitive Indifference Makes a Difference," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 109-126, January.
    2. Simone Cerreia-Vioglio & Alfio Giarlotta & Salvatore Greco & Fabio Maccheroni & Massimo Marinacci, 2020. "Rational preference and rationalizable choice," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(1), pages 61-105, February.
    3. Minardi, Stefania & Savochkin, Andrei, 2015. "Preferences with grades of indecisiveness," Journal of Economic Theory, Elsevier, vol. 155(C), pages 300-331.
    4. Nobuo Koida, 2017. "A multiattribute decision time theory," Theory and Decision, Springer, vol. 83(3), pages 407-430, October.
    5. Bouyssou, Denis & Pirlot, Marc, 2005. "Following the traces:: An introduction to conjoint measurement without transitivity and additivity," European Journal of Operational Research, Elsevier, vol. 163(2), pages 287-337, June.
    6. Dziewulski, Paweł, 2020. "Just-noticeable difference as a behavioural foundation of the critical cost-efficiency index," Journal of Economic Theory, Elsevier, vol. 188(C).
    7. Giarlotta, Alfio & Greco, Salvatore, 2013. "Necessary and possible preference structures," Journal of Mathematical Economics, Elsevier, vol. 49(2), pages 163-172.
    8. Nishimura, Hiroki, 2018. "The transitive core: inference of welfare from nontransitive preference relations," Theoretical Economics, Econometric Society, vol. 13(2), May.
    9. Lehrer, Ehud & Teper, Roee, 2011. "Justifiable preferences," Journal of Economic Theory, Elsevier, vol. 146(2), pages 762-774, March.
    10. Juan Dubra & Fabio Maccheroni & Efe A. Ok, 2004. "Expected Utility Without the Completeness Axiom," Yale School of Management Working Papers ysm404, Yale School of Management.
    11. Hyogo, Kazuya, 2007. "A subjective model of experimentation," Journal of Economic Theory, Elsevier, vol. 133(1), pages 316-330, March.
    12. Rubinstein, Ariel, 1988. "Similarity and decision-making under risk (is there a utility theory resolution to the Allais paradox?)," Journal of Economic Theory, Elsevier, vol. 46(1), pages 145-153, October.
    13. Denis Bouyssou & Marc Pirlot, 2005. "Following the traces:," Post-Print hal-02361926, HAL.
    14. Peter C. Fishburn, 1970. "Intransitive Indifference in Preference Theory: A Survey," Operations Research, INFORMS, vol. 18(2), pages 207-228, April.
    15. Echenique, Federico & Saito, Kota, 2017. "Response time and utility," Journal of Economic Behavior & Organization, Elsevier, vol. 139(C), pages 49-59.
    16. Dubra, Juan & Maccheroni, Fabio & Ok, Efe A., 2004. "Expected utility theory without the completeness axiom," Journal of Economic Theory, Elsevier, vol. 115(1), pages 118-133, March.
    17. Vincke, Philippe, 1980. "Linear Utility Functions on Semiordered Mixture Spaces," Econometrica, Econometric Society, vol. 48(3), pages 771-775, April.
    18. Karni, Edi, 2004. "Additive representations over actions and acts," Mathematical Social Sciences, Elsevier, vol. 48(2), pages 113-119, September.
    19. W. E. Armstrong, 1950. "A Note On Tue Theory Of Consumer'S Behaviour," Oxford Economic Papers, Oxford University Press, vol. 2(1), pages 119-122.
    20. Georgios Gerasimou, 2017. "Preference intensity representation and revelation," Discussion Paper Series, School of Economics and Finance 201716, School of Economics and Finance, University of St Andrews, revised 01 Jun 2019.
    21. Efe A. Ok & Pietro Ortoleva & Gil Riella, 2012. "Incomplete Preferences Under Uncertainty: Indecisiveness in Beliefs versus Tastes," Econometrica, Econometric Society, vol. 80(4), pages 1791-1808, July.
    22. Tsogbadral Galaabaatar & Edi Karni, 2013. "Subjective Expected Utility With Incomplete Preferences," Econometrica, Econometric Society, vol. 81(1), pages 255-284, January.
    23. Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, December.
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    More about this item

    Keywords

    intransitive indifference; direction-dependence; incomplete preference; transitive core;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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