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An algebraic approach to revealed preferences

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  • Mikhail Freer
  • Cesar Martinelli

Abstract

We propose and develop an algebraic approach to revealed preference. Our approach dispenses with non algebraic structure, such as topological assumptions. We provide algebraic axioms of revealed preference that subsume previous, classical revealed preference axioms, as well as generate new axioms for behavioral theories, and show that a data set is rationalizable if and only if it is consistent with an algebraic axiom.

Suggested Citation

  • Mikhail Freer & Cesar Martinelli, 2021. "An algebraic approach to revealed preferences," Papers 2105.15175, arXiv.org.
    • Handle: RePEc:arx:papers:2105.15175
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    More about this item

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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