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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. David Ahn & Syngjoo Choi & Douglas Gale & Shachar Kariv, 2014. "Estimating ambiguity aversion in a portfolio choice experiment," Quantitative Economics, Econometric Society, vol. 5, pages 195-223, July.
    2. Aluma Dembo & Shachar Kariv & Matthew Polisson & John Quah, 2021. "Ever since Allais," IFS Working Papers W21/15, Institute for Fiscal Studies.
    3. 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.
    4. 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.
    5. Laurens Cherchye & Thomas Demuynck & Bram De Rock, 2013. "Nash‐Bargained Consumption Decisions: A Revealed Preference Analysis," Economic Journal, Royal Economic Society, vol. 123, pages 195-235, March.
    6. Anastasia Burkovskaya, 2022. "A model of state aggregation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(1), pages 121-149, February.
    7. Demuynck, Thomas & Hjertstrand, Per, 2019. "Samuelson's Approach to Revealed Preference Theory: Some Recent Advances," Working Paper Series 1274, Research Institute of Industrial Economics.
    8. Thomas Demuynck & Clément Staner, 2020. "An Efficient Revealed Preference Test for the Maxmin Expected Utility Model," Working Papers ECARES 2020-31, ULB -- Universite Libre de Bruxelles.
    9. 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.
    10. Raymond Fisman & Pamela Jakiela & Shachar Kariv & Silvia Vannutelli, 2023. "The distributional preferences of Americans, 2013–2016," Experimental Economics, Springer;Economic Science Association, vol. 26(4), pages 727-748, September.
    11. Geoffroy de Clippel & Kareen Rozen, 2020. "Relaxed Optimization: e-Rationalizability and the FOC-Departure Index in Consumer Theory," Working Papers 2020-07, Brown University, Department of Economics.
    12. 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.
    13. 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.
    14. Cappelen, Alexander W. & Kariv, Shachar & Sørensen, Erik Ø. & Tungodden, Bertil, 2023. "The development gap in economic rationality of future elites," Games and Economic Behavior, Elsevier, vol. 142(C), pages 866-878.
    15. Eileen Tipoe & Abi Adams & Ian Crawford, 2022. "Revealed preference analysis and bounded rationality [Consume now or later? Time inconsistency, collective choice and revealed preference]," Oxford Economic Papers, Oxford University Press, vol. 74(2), pages 313-332.
    16. Federico Echenique, 2020. "New Developments in Revealed Preference Theory: Decisions Under Risk, Uncertainty, and Intertemporal Choice," Annual Review of Economics, Annual Reviews, vol. 12(1), pages 299-316, August.
    17. Daniel H. Karney & Khyati Malik, 2024. "The WTP-WTA Gap for Public Goods: New Insights from Compensating and Equivalent Variation Closed-Form Solutions," Papers 2401.15493, arXiv.org, revised Jul 2024.
    18. 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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