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Suzumura Consistency

In: Rational Choice and Social Welfare

Author

Listed:
  • Walter Bossert

    (University of Montréal)

Abstract

Binary relations are at the heart of much of economic theory, both in the context of individual choice and in multi-agent decision problems. A fundamental coherence requirement imposed on a relation is the well-known transitivity axiom. If a relation is interpreted as a goodness relation, transitivity postulates that whenever one alternative is at least as good as a second and the second alternative is, in turn, at least as good as a third, then the first alternative is at least as good as the third. However, from an empirical as well as a conceptual perspective, transitivity is frequently considered too demanding and weaker notions of coherence have been proposed in the literature. Two alternatives that have received a considerable amount of attention are quasi-transitivity and acyclicity. Quasi-transitivity demands that the asymmetric factor of a relation (the betterness relation) is transitive, whereas acyclicity rules out the presence of betterness cycles. Quasi-transitivity is implied by transitivity and implies acyclicity. The reverse implications are not valid.

Suggested Citation

  • Walter Bossert, 2008. "Suzumura Consistency," Studies in Choice and Welfare, in: Prasanta K. Pattanaik & Koichi Tadenuma & Yongsheng Xu & Naoki Yoshihara (ed.), Rational Choice and Social Welfare, pages 159-179, Springer.
    • Handle: RePEc:spr:stcchp:978-3-540-79832-3_9
    DOI: 10.1007/978-3-540-79832-3_9
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    Cited by:

    1. Quartieri, Federico, 2022. "A unified view of the existence of maximals," Journal of Mathematical Economics, Elsevier, vol. 99(C).

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