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A Note on Incompleteness, Transitivity and Suzumura Consistency

In: Individual and Collective Choice and Social Welfare

Author

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  • Richard Bradley

    (London School of Economics and Political Science)

Abstract

Rationality does not require of preferences that they be complete. Nor therefore that they be transitive: Suzumura consistency suffices. This paper examines the implications of these claims for the theory of rational choice. I propose a new choice rule—Strong Maximality—and argue that it better captures rational preference-based choice than other more familiar rules. Suzumura consistency of preferences is shown to be both necessary and sufficient for non-empty strongly maximal choice. Finally conditions on a choice function are stated that are necessary and sufficient for it to be rationalisable in terms of a Suzumura consistent preference relation.

Suggested Citation

  • Richard Bradley, 2015. "A Note on Incompleteness, Transitivity and Suzumura Consistency," Studies in Choice and Welfare, in: Constanze Binder & Giulio Codognato & Miriam Teschl & Yongsheng Xu (ed.), Individual and Collective Choice and Social Welfare, edition 127, pages 31-47, Springer.
    • Handle: RePEc:spr:stcchp:978-3-662-46439-7_3
    DOI: 10.1007/978-3-662-46439-7_3
    as

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