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Afriat's Theorem and Some Extensions to Choice under Uncertainty

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  • Diewert, Erwin

Abstract

The first part of the paper reviews the methodology developed by Sydney Afriat for determining whether a finite set of price and quantity data are consistent with utility maximizing behavior by a consumer. Some extensions of his basic model to models of consumer behavior where the structure of preferences is restricted in some way are also explained. Examples of special structures are homotheticity, separability and quasilinearity of the utility function. The second half of the paper is devoted to developing Afriat type consistency tests for expected and nonexpected utility maximizing behavior.

Suggested Citation

  • Diewert, Erwin, 2011. "Afriat's Theorem and Some Extensions to Choice under Uncertainty," Economics working papers erwin_diewert-2011-22, Vancouver School of Economics, revised 01 Sep 2011.
  • Handle: RePEc:ubc:bricol:erwin_diewert-2011-22
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    File URL: http://faculty.arts.ubc.ca/ediewert/dp1103.pdf
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    Cited by:

    1. Marco Castillo & David L. Dickinson & Ragan Petrie, 2017. "Sleepiness, choice consistency, and risk preferences," Theory and Decision, Springer, vol. 82(1), pages 41-73, January.
    2. repec:eee:jetheo:v:173:y:2018:i:c:p:361-382 is not listed on IDEAS
    3. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2018. "Normality of demand in a two-goods setting," Journal of Economic Theory, Elsevier, vol. 173(C), pages 361-382.
    4. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2014. "Revealed preference analysis for convex rationalizations on nonlinear budget sets," Journal of Economic Theory, Elsevier, vol. 152(C), pages 224-236.
    5. Cappelen, Alexander W. & Kariv, Shachar & Sørensen, Erik Ø. & Tungodden, Bertil, 2014. "Is There a Development Gap in Rationality?," Discussion Paper Series in Economics 8/2014, Norwegian School of Economics, Department of Economics.
    6. Kolesnikov, Alexander V. & Kudryavtseva, Olga V. & Nagapetyan, Tigran, 2013. "Remarks on Afriat’s theorem and the Monge–Kantorovich problem," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 501-505.
    7. Hjertstrand, Per & Jones, Barry E., 2013. "What Do Revealed Preference Axioms Reveal about Elasticities of Demand?," Working Paper Series 972, Research Institute of Industrial Economics.

    More about this item

    Keywords

    Revealed preference theory; Afriat inequalities; nonparametric approach to demand theory; homotheticity; separability; quasilinearity; testing for max;

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