Extensions of choice behaviour

A.J.A. Storcken, P.H.M. Ruys

    Research output: Book/ReportReportAcademic

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    Abstract

    An axiomatic foundation of revealed preference theory is obtained by formulating conditions on the mapping from the space of choice functions into the space of preference relations. Dual conditions are applied on the inverse or dual mapping. The composition of both maps is shown to be an extension of the choice function. Next, we derive both the unique preference relation and the unique decision rule endogenously determined by the extended choice function. The decision rule turns out to select weakly undominated alternatives. A slightly stronger assumption on the choice function results in the well known revelation theorems, which are based upon choosing best alternatives.
    Original languageEnglish
    Place of PublicationEindhoven
    PublisherTechnische Universiteit Eindhoven
    Number of pages22
    Publication statusPublished - 1992

    Publication series

    NameMemorandum COSOR
    Volume9223
    ISSN (Print)0926-4493

    Fingerprint

    Choice function
    Choice behavior
    Decision rules
    Preference relation
    Axiomatics
    Revealed preference
    Preference theory

    Cite this

    Storcken, A. J. A., & Ruys, P. H. M. (1992). Extensions of choice behaviour. (Memorandum COSOR; Vol. 9223). Eindhoven: Technische Universiteit Eindhoven.
    Storcken, A.J.A. ; Ruys, P.H.M. / Extensions of choice behaviour. Eindhoven : Technische Universiteit Eindhoven, 1992. 22 p. (Memorandum COSOR).
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    abstract = "An axiomatic foundation of revealed preference theory is obtained by formulating conditions on the mapping from the space of choice functions into the space of preference relations. Dual conditions are applied on the inverse or dual mapping. The composition of both maps is shown to be an extension of the choice function. Next, we derive both the unique preference relation and the unique decision rule endogenously determined by the extended choice function. The decision rule turns out to select weakly undominated alternatives. A slightly stronger assumption on the choice function results in the well known revelation theorems, which are based upon choosing best alternatives.",
    author = "A.J.A. Storcken and P.H.M. Ruys",
    year = "1992",
    language = "English",
    series = "Memorandum COSOR",
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    Storcken, AJA & Ruys, PHM 1992, Extensions of choice behaviour. Memorandum COSOR, vol. 9223, Technische Universiteit Eindhoven, Eindhoven.

    Extensions of choice behaviour. / Storcken, A.J.A.; Ruys, P.H.M.

    Eindhoven : Technische Universiteit Eindhoven, 1992. 22 p. (Memorandum COSOR; Vol. 9223).

    Research output: Book/ReportReportAcademic

    TY - BOOK

    T1 - Extensions of choice behaviour

    AU - Storcken, A.J.A.

    AU - Ruys, P.H.M.

    PY - 1992

    Y1 - 1992

    N2 - An axiomatic foundation of revealed preference theory is obtained by formulating conditions on the mapping from the space of choice functions into the space of preference relations. Dual conditions are applied on the inverse or dual mapping. The composition of both maps is shown to be an extension of the choice function. Next, we derive both the unique preference relation and the unique decision rule endogenously determined by the extended choice function. The decision rule turns out to select weakly undominated alternatives. A slightly stronger assumption on the choice function results in the well known revelation theorems, which are based upon choosing best alternatives.

    AB - An axiomatic foundation of revealed preference theory is obtained by formulating conditions on the mapping from the space of choice functions into the space of preference relations. Dual conditions are applied on the inverse or dual mapping. The composition of both maps is shown to be an extension of the choice function. Next, we derive both the unique preference relation and the unique decision rule endogenously determined by the extended choice function. The decision rule turns out to select weakly undominated alternatives. A slightly stronger assumption on the choice function results in the well known revelation theorems, which are based upon choosing best alternatives.

    M3 - Report

    T3 - Memorandum COSOR

    BT - Extensions of choice behaviour

    PB - Technische Universiteit Eindhoven

    CY - Eindhoven

    ER -

    Storcken AJA, Ruys PHM. Extensions of choice behaviour. Eindhoven: Technische Universiteit Eindhoven, 1992. 22 p. (Memorandum COSOR).