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Intransitive Indifference in Preference Theory: A Survey

Author

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  • Peter C. Fishburn

    (Research Analysis Corporation, McLean, Virginia)

Abstract

This paper presents a survey of results in preference theory with intransitive indifference and discusses them for the areas of basic preference theory, consumer preference, additive utility, qualitative probability, expected utility, and social choice.

Suggested Citation

  • Peter C. Fishburn, 1970. "Intransitive Indifference in Preference Theory: A Survey," Operations Research, INFORMS, vol. 18(2), pages 207-228, April.
    • Handle: RePEc:inm:oropre:v:18:y:1970:i:2:p:207-228
    DOI: 10.1287/opre.18.2.207
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    Cited by:

    1. 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.
    2. David Buschena & David Zilberman, 1999. "Testing the Effects of Similarity on Risky Choice: Implications for Violations of Expected Utility," Theory and Decision, Springer, vol. 46(3), pages 253-280, June.
    3. 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.
    4. Kaushik Basu, 2007. "Coercion, contract and the limits of the market," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 29(4), pages 559-579, December.
    5. Denis Bouyssou & Marc Pirlot, 2004. "Preferences for multi-attributed alternatives: Traces, Dominance, and Numerical Representations," Post-Print hal-00004104, HAL.
    6. Blazewicz, Jacek & Kobler, Daniel, 2002. "Review of properties of different precedence graphs for scheduling problems," European Journal of Operational Research, Elsevier, vol. 142(3), pages 435-443, November.
    7. Denis Bouyssou & Marc Pirlot, 2015. "A consolidated approach to the axiomatization of outranking relations: a survey and new results," Annals of Operations Research, Springer, vol. 229(1), pages 159-212, June.
    8. Barberà, Salvador & Bossert, Walter, 2023. "Opinion aggregation: Borda and Condorcet revisited," Journal of Economic Theory, Elsevier, vol. 210(C).
    9. repec:hal:psewpa:halshs-01998001 is not listed on IDEAS
    10. Marc Le Menestrel & Luk Van Wassenhove, 2001. "The Domain and Interpretation of Utility Functions: An Exploration," Theory and Decision, Springer, vol. 51(2), pages 329-349, December.
    11. Buschena, David E. & Zilberman, David, 1992. "Similarity of Choices and the Performance of the Expected Utility Approach: Empirical Results," 1992 Quantifying Long Run Agricultural Risks and Evaluating Farmer Responses to Risk Meeting, March 22-25, 1992, Orlando, Florida 307868, Regional Research Projects > S-232: Quantifying Long Run Agricultural Risks and Evaluating Farmer Responses to Risk.
    12. Buschena, David & Zilberman, David, 1992. "Not Just Another Paper Showing Violations of the Expected Utility Model: The Effects of Alternative Similarity on Risky Choice," CUDARE Working Papers 198603, University of California, Berkeley, Department of Agricultural and Resource Economics.
    13. Barberà, Salvador & Bossert, Walter & Moreno-Ternero, Juan D., 2023. "Wine rankings and the Borda method," Journal of Wine Economics, Cambridge University Press, vol. 18(2), pages 122-138, May.
    14. M. Ali Khan & Metin Uyanık, 2021. "Topological connectedness and behavioral assumptions on preferences: a two-way relationship," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(2), pages 411-460, March.
    15. Elias Bouacida, 2021. "Identifying Choice Correspondences," Working Papers halshs-01998001, HAL.
    16. Yew‐Kwang Ng, 1981. "Bentham or Nash? On the Acceptable Form of Social Welfare Functions," The Economic Record, The Economic Society of Australia, vol. 57(3), pages 238-250, September.
    17. A. Estevan, 2020. "Debreu's open gap lemma for semiorders," Papers 2010.04265, arXiv.org.
    18. Fernando San Miguel & Mandy Ryan & Mabelle Amaya‐Amaya, 2005. "‘Irrational’ stated preferences: a quantitative and qualitative investigation," Health Economics, John Wiley & Sons, Ltd., vol. 14(3), pages 307-322, March.
    19. Nobuo Koida, 2021. "Intransitive indifference with direction-dependent sensitivity," KIER Working Papers 1061, Kyoto University, Institute of Economic Research.
    20. Elias Bouacida, 2021. "Identifying Choice Correspondences," Working Papers 327800275, Lancaster University Management School, Economics Department.
    21. Szádoczki, Zsombor & Bozóki, Sándor & Tekile, Hailemariam Abebe, 2022. "Filling in pattern designs for incomplete pairwise comparison matrices: (Quasi-)regular graphs with minimal diameter," Omega, Elsevier, vol. 107(C).
    22. Candeal, Juan Carlos & Indurain, Esteban & Zudaire, Margarita, 2002. "Numerical representability of semiorders," Mathematical Social Sciences, Elsevier, vol. 43(1), pages 61-77, January.
    23. 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.
    24. Marek Hudík, 2013. "When x Becomes x': Sameness and the Internal Consistency of Choice," ICER Working Papers 02-2013, ICER - International Centre for Economic Research.
    25. Ariel Rubinstein, 2010. "Similarity and Decision Making Under Risk," Levine's Working Paper Archive 7637, David K. Levine.

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