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Asset Demand Based Tests of Expected Utility Maximization

Author

Listed:
  • Felix Kubler
  • Larry Selden
  • Xiao Wei

Abstract

We provide conditions under which contingent claim and asset demands are consistent with state independent Expected Utility maximization. The paper focuses on the case of a single commodity and demands are allowed to be functions of probabilities and not just prices and income. We extend prior analyses by deriving three distinct tests for demands to be rationalized by Expected Utility: (i) a contingent claim analogue to the certainty strong axiom of revealed preference, (ii) a characterization of the functional form for demand and (iii) necessary and sufficient conditions based on the Slutsky matrix.

Suggested Citation

  • Felix Kubler & Larry Selden & Xiao Wei, 2014. "Asset Demand Based Tests of Expected Utility Maximization," American Economic Review, American Economic Association, vol. 104(11), pages 3459-3480, November.
    • Handle: RePEc:aea:aecrev:v:104:y:2014:i:11:p:3459-80
    Note: DOI: 10.1257/aer.104.11.3459
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    References listed on IDEAS

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    1. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    2. Felix Kubler & Karl Schmedders, 2010. "Non-parametric counterfactual analysis in dynamic general equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 181-200, October.
    3. Varian, Hal R, 1988. "Estimating Risk Aversion from Arrow-Debreu Portfolio Choice," Econometrica, Econometric Society, vol. 56(4), pages 973-979, July.
    4. Green, Richard C. & Srivastava, Sanjay, 1986. "Expected utility maximization and demand behavior," Journal of Economic Theory, Elsevier, vol. 38(2), pages 313-323, April.
    5. Chiappori, Pierre-Andre & Rochet, Jean-Charles, 1987. "Revealed Preferences and Differentiable Demand: Notes and Comments," Econometrica, Econometric Society, vol. 55(3), pages 687-691, May.
    6. David M. Kreps, 2012. "Microeconomic Foundations I: Choice and Competitive Markets," Economics Books, Princeton University Press, edition 1, volume 1, number 9890.
    7. Varian, Hal R., 1983. "Nonparametric Tests of Models of Investor Behavior," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 18(3), pages 269-278, September.
    8. Dybvig, Philip H, 1983. "Recovering Additive Utility Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(2), pages 379-396, June.
    9. Matthew Polisson & John K.-H. Quah, 2013. "Revealed preference tests under risk and uncertainty," Discussion Papers in Economics 13/24, Division of Economics, School of Business, University of Leicester.
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    Citations

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    Cited by:

    1. Felix Kübler & Herakles Polemarchakis, 2017. "The Identification of Beliefs From Asset Demand," Econometrica, Econometric Society, vol. 85, pages 1219-1238, July.
    2. Federico Echenique & Taisuke Imai & Kota Saito, 2018. "Approximate Expected Utility Rationalization," CESifo Working Paper Series 7348, CESifo.
    3. Aluma Dembo & Shachar Kariv & Matthew Polisson & John K.-H. Quah, 2021. "Ever Since Allais," Bristol Economics Discussion Papers 21/745, School of Economics, University of Bristol, UK.
    4. Pierpaolo Angelini, 2023. "Probability Spaces Identifying Ordinal and Cardinal Utilities in Problems of an Economic Nature: New Issues and Perspectives," Mathematics, MDPI, vol. 11(20), pages 1-22, October.
    5. Chambers, Christopher P. & Liu, Ce & Martinez, Seung-Keun, 2016. "A test for risk-averse expected utility," Journal of Economic Theory, Elsevier, vol. 163(C), pages 775-785.
    6. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram & Freer, Mikhail, 2022. "Revealed preference analysis of expected utility maximization under prize-probability trade-offs," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    7. 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.
    8. 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.
    9. Mohajan, Haradhan, 2021. "Utility Maximization of Bangladeshi Consumers within Their Budget: A Mathematical Procedure," MPRA Paper 109993, University Library of Munich, Germany, revised 20 Jul 2021.
    10. Polemarchakis, Herakles & Selden, Larry & Song, Xinxi, 2017. "The identification of attitudes towards ambiguity and risk from asset demand," CRETA Online Discussion Paper Series 28, Centre for Research in Economic Theory and its Applications CRETA.
    11. Kubler, Felix & Selden, Larry & Wei, Xiao, 2020. "Incomplete market demand tests for Kreps-Porteus-Selden preferences," Journal of Economic Theory, Elsevier, vol. 185(C).
    12. Kannai, Yakar & Selden, Larry & Wei, Xiao, 2014. "Myopic separability," Journal of Economic Behavior & Organization, Elsevier, vol. 103(C), pages 125-144.
    13. Constantin ANGHELACHE & Madalina Gabriela ANGHEL & Cristina SACALA, 2016. "The Financial Sector Influence On Portfolio Dynamics," Romanian Statistical Review Supplement, Romanian Statistical Review, vol. 64(7), pages 9-13, July.

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    More about this item

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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