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On the Necessity of Pairs and Triplets for the Equivalence between Rationality Axioms

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  • He, Junnan

Abstract

This paper is concerned with the axiomatic foundation of the revealed preference theory. Many well-known results in the literature rest upon the ability to choose over budget sets that contain only 2 or 3 elements. This paper shows that for any given choice function, many of the famous consistency requirements, such as those proposed by Arrow, Sen, Samuelson etc., are equivalent if every bundle of goods is chosen from some budget sets, and the domain of the choice function satisfies some set of theoretical properties.

Suggested Citation

  • He, Junnan, 2012. "On the Necessity of Pairs and Triplets for the Equivalence between Rationality Axioms," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 6, pages 1-15.
    • Handle: RePEc:zbw:ifweej:201231
    DOI: 10.5018/economics-ejournal.ja.2012-31
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    References listed on IDEAS

    as
    1. Taradas Bandyopadhyay, 1988. "Revealed Preference Theory, Ordering and the Axiom of Sequential Path Independence," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(2), pages 343-351.
    2. Kotaro Suzumura, 1976. "Rational Choice and Revealed Preference," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(1), pages 149-158.
    3. Amartya K. Sen, 1971. "Choice Functions and Revealed Preference," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(3), pages 307-317.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    revealed preference theory; rationality; preference; choice functions;
    All these keywords.

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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