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Rational intransitive preferences

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  • Peter Baumann

Abstract

According to a widely held view, rationality demands that the preferences of a person be transitive. The transitivity assumption is an axiom in standard theories of rational choice. It is also prima facie very plausible. I argue here that transitivity is not a necessary condition of rationality; it is a constraint only in some cases. The argument presented here is based on the non-linearity of differential utility functions. This paper has four parts. First, I present an argument against the transitivity assumption (I, II). Second, I discuss some objections; this will also bring out some features of the view defended here, like the essentially comparative nature of choice (III). Then, I discuss certain proposals that promise to avoid my conclusion (IV). Finally, I go into some implications concerning the nature of rational decision making (V). To accept some intransitivities as rational does not make our life easier; it can even lead to hard choices. However, it does not lead to skepticism about rational choice.

Suggested Citation

  • Peter Baumann, 2022. "Rational intransitive preferences," Politics, Philosophy & Economics, , vol. 21(1), pages 3-28, February.
    • Handle: RePEc:sae:pophec:v:21:y:2022:i:1:p:3-28
    DOI: 10.1177/1470594X211072271
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    References listed on IDEAS

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    1. Fishburn, Peter C, 1991. "Nontransitive Preferences in Decision Theory," Journal of Risk and Uncertainty, Springer, vol. 4(2), pages 113-134, April.
    2. Fishburn, P. C., 1984. "Dominance in SSB utility theory," Journal of Economic Theory, Elsevier, vol. 34(1), pages 130-148, October.
    3. Qizilbash, Mozaffar, 2005. "Transitivity And Vagueness," Economics and Philosophy, Cambridge University Press, vol. 21(1), pages 109-131, April.
    4. Jacob Barrett, 2019. "Interpersonal comparisons with preferences and desires," Politics, Philosophy & Economics, , vol. 18(3), pages 219-241, August.
    5. Shlomo Naeh & Uzi Segal, 2008. "The Talmud On Transitivity," Boston College Working Papers in Economics 687, Boston College Department of Economics, revised 04 Sep 2009.
    6. Gordon Tullock, 1964. "The Irrationality Of Intransitivity," Oxford Economic Papers, Oxford University Press, vol. 16(3), pages 401-406.
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    1. Braun, Marlon & Shukla, Pradyumn, 2024. "On cone-based decompositions of proper Pareto-optimality in multi-objective optimization," European Journal of Operational Research, Elsevier, vol. 317(2), pages 592-602.

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