IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/hal-01933876.html
   My bibliography  Save this paper

What Are Axiomatizations Good For?

Author

Listed:
  • Itzhak Gilboa

    (GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique)

  • Andrew Postlewaite

    (University of Pennsylvania [Philadelphia])

  • Larry Samuelson

    (Department of Economics - Yale University [New Haven])

  • David Schmeidler

    (Tel Aviv University [Tel Aviv])

Abstract

In light of the interest in axiomatic models of decision making in recent years, one is led to ask, in what ways do the axiomatic deriva- tions advance economics? If economists are interested in predicting how people behave, without a pretense to change individual decision making, how can they benefit from representation theorems, which are no more than equivalence results? We address this question, propose several ways in which representation results can still be useful, and discuss their potential implications to axiomatic decision theory.

Suggested Citation

  • Itzhak Gilboa & Andrew Postlewaite & Larry Samuelson & David Schmeidler, 2018. "What Are Axiomatizations Good For?," Working Papers hal-01933876, HAL.
  • Handle: RePEc:hal:wpaper:hal-01933876
    DOI: 10.2139/ssrn.3178761
    Note: View the original document on HAL open archive server: https://hal-hec.archives-ouvertes.fr/hal-01933876
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Mikaël Cozic & Brian Hill, 2015. "Representation theorems and the semantics of decision-theoretic concepts," Journal of Economic Methodology, Taylor & Francis Journals, vol. 22(3), pages 292-311, September.
    2. Eddie Dekel & Barton L. Lipman, 2010. "How (Not) to Do Decision Theory," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 257-282, September.
    3. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    4. Ivan Moscati, 2016. "Retrospectives: How Economists Came to Accept Expected Utility Theory: The Case of Samuelson and Savage," Journal of Economic Perspectives, American Economic Association, vol. 30(2), pages 219-236, Spring.
    5. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    6. Karni, Edi, 1996. "Probabilities and Beliefs," Journal of Risk and Uncertainty, Springer, vol. 13(3), pages 249-262, November.
    7. Handa, Jagdish, 1977. "Risk, Probabilities, and a New Theory of Cardinal Utility," Journal of Political Economy, University of Chicago Press, vol. 85(1), pages 97-122, February.
    8. I. Gilboa & A. Postlewaite & L. Samuelson & D. Schmeidler., 2015. "Economic Models as Analogies," VOPROSY ECONOMIKI, N.P. Redaktsiya zhurnala "Voprosy Economiki", vol. 4.
    9. Jaffray, Jean-Yves, 1975. "Existence of a Continuous Utility Function: An Elementary Proof," Econometrica, Econometric Society, vol. 43(5-6), pages 981-983, Sept.-Nov.
    10. Fishburn, Peter C, 1978. "On Handa's "New Theory of Cardinal Utility" and the Maximization of Expected Return," Journal of Political Economy, University of Chicago Press, vol. 86(2), pages 321-324, April.
    11. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    12. Gilboa, Itzhak & Postlewaite, Andrew & Schmeidler, David, 2009. "Is It Always Rational To Satisfy Savage'S Axioms?," Economics and Philosophy, Cambridge University Press, vol. 25(3), pages 285-296, November.
    13. Gilboa,Itzhak, 2009. "Theory of Decision under Uncertainty," Cambridge Books, Cambridge University Press, number 9780521517324.
    14. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, Oxford University Press, vol. 75(4), pages 643-669.
    15. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-291, March.
    16. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    17. Grether, David M & Plott, Charles R, 1979. "Economic Theory of Choice and the Preference Reversal Phenomenon," American Economic Review, American Economic Association, vol. 69(4), pages 623-638, September.
    18. Sen, Amartya, 1993. "Internal Consistency of Choice," Econometrica, Econometric Society, vol. 61(3), pages 495-521, May.
    19. Mikaël Cozic & Brian Hill, 2015. "Representation theorems and the semantics of decision-theoretic concepts," Post-Print hal-01955975, HAL.
    20. Gilboa, Itzhak & Postlewaite, Andrew & Schmeidler, David, 2009. "Is It Always Rational To Satisfy Savage'S Axioms?," Economics and Philosophy, Cambridge University Press, vol. 25(3), pages 285-296, November.
    21. Ramsey, Frank P., 1926. "Truth and Probability," Histoy of Economic Thought Chapters, in: Braithwaite, R. B. (ed.),The Foundations of Mathematics and other Logical Essays, chapter 7, pages 156-198, McMaster University Archive for the History of Economic Thought.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Evan Sadler, 2021. "A Practical Guide to Updating Beliefs From Contradictory Evidence," Econometrica, Econometric Society, vol. 89(1), pages 415-436, January.
    2. Lorenzo Bastianello & Jos'e Heleno Faro, 2019. "Time discounting under uncertainty," Papers 1911.00370, arXiv.org, revised Mar 2020.
    3. Denis Bouyssou & Thierry Marchant & Marc Pirlot, 2020. "A theoretical look at ELECTRE TRI-nB and related sorting models," Papers 2008.09484, arXiv.org, revised Jul 2021.
    4. He, Ying & Dyer, James S. & Butler, John C. & Jia, Jianmin, 2019. "An additive model of decision making under risk and ambiguity," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 78-92.
    5. Denis Bouyssou & Thierry Marchant & Marc Pirlot, 2020. "A theoretical look at ELECTRE TRI-nB," Working Papers hal-02917994, HAL.
    6. Ruodu Wang & Ričardas Zitikis, 2021. "An Axiomatic Foundation for the Expected Shortfall," Management Science, INFORMS, vol. 67(3), pages 1413-1429, March.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Barnett, William A. & Han, Qing & Zhang, Jianbo, 2021. "Monetary services aggregation under uncertainty: A behavioral economics extension using Choquet expectation," Journal of Economic Behavior & Organization, Elsevier, vol. 182(C), pages 437-447.
    2. Belles-Sampera, Jaume & Merigó, José M. & Guillén, Montserrat & Santolino, Miguel, 2013. "The connection between distortion risk measures and ordered weighted averaging operators," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 411-420.
    3. Laurent Denant-Boemont & Olivier L’Haridon, 2013. "La rationalité à l'épreuve de l'économie comportementale," Revue française d'économie, Presses de Sciences-Po, vol. 0(2), pages 35-89.
    4. Levy, Haim & Levy, Moshe, 2002. "Experimental test of the prospect theory value function: A stochastic dominance approach," Organizational Behavior and Human Decision Processes, Elsevier, vol. 89(2), pages 1058-1081, November.
    5. Ali al-Nowaihi & Sanjit Dhami & Mengxing Wei, 2018. "Quantum Decision Theory and the Ellsberg Paradox," CESifo Working Paper Series 7158, CESifo.
    6. Trabelsi, Mohamed Ali, 2006. "Les nouveaux modèles de décision dans le risque et l’incertain : quel apport ? [The new models of decision under risk or uncertainty : What approach?]," MPRA Paper 25442, University Library of Munich, Germany.
    7. Marcello Basili & Carlo Zappia, 2007. "The weight of argument and non-additive measures: a note," Department of Economic Policy, Finance and Development (DEPFID) University of Siena 003, Department of Economic Policy, Finance and Development (DEPFID), University of Siena.
    8. Izhakian, Yehuda, 2017. "Expected utility with uncertain probabilities theory," Journal of Mathematical Economics, Elsevier, vol. 69(C), pages 91-103.
    9. Bernard, Carole & Ghossoub, Mario, 2009. "Static Portfolio Choice under Cumulative Prospect Theory," MPRA Paper 15446, University Library of Munich, Germany.
    10. Elisabeth Jardin, 1996. "Problèmes d'assurance et utilité décumulative," Revue Économique, Programme National Persée, vol. 47(4), pages 921-935.
    11. Ali al-Nowaihi & Sanjit Dhami, 2016. "The Ellsberg paradox: A challenge to quantum decision theory?," Discussion Papers in Economics 16/08, Division of Economics, School of Business, University of Leicester.
    12. Aldo Montesano, 2019. "On some aspects of decision theory under uncertainty: rationality, price-probabilities and the Dutch book argument," Theory and Decision, Springer, vol. 87(1), pages 57-85, July.
    13. Liang Zou, 2006. "An Alternative to Prospect Theory," Annals of Economics and Finance, Society for AEF, vol. 7(1), pages 1-28, May.
    14. Basili, Marcello & Zappia, Carlo, 2009. "Keynes's "non-numerical" probabilities and non-additive measures," Journal of Economic Psychology, Elsevier, vol. 30(3), pages 419-430, June.
    15. Karni, Edi & Maccheroni, Fabio & Marinacci, Massimo, 2015. "Ambiguity and Nonexpected Utility," Handbook of Game Theory with Economic Applications,, Elsevier.
    16. Mohammed Abdellaoui & Olivier L’Haridon & Horst Zank, 2010. "Separating curvature and elevation: A parametric probability weighting function," Journal of Risk and Uncertainty, Springer, vol. 41(1), pages 39-65, August.
    17. Ulrich Schmidt & Horst Zank, 2008. "Risk Aversion in Cumulative Prospect Theory," Management Science, INFORMS, vol. 54(1), pages 208-216, January.
    18. Epper, Thomas & Fehr-Duda, Helga, 2017. "A Tale of Two Tails: On the Coexistence of Overweighting and Underweighting of Rare Extreme Events," Economics Working Paper Series 1705, University of St. Gallen, School of Economics and Political Science.
    19. Vjollca Sadiraj, 2014. "Probabilistic risk attitudes and local risk aversion: a paradox," Theory and Decision, Springer, vol. 77(4), pages 443-454, December.
    20. Border, Kim C. & Segal, Uzi, 1997. "Coherent Odds and Subjective Probability," UWO Department of Economics Working Papers 9717, University of Western Ontario, Department of Economics.

    More about this item

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • D0 - Microeconomics - - General

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:wpaper:hal-01933876. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://hal.archives-ouvertes.fr/ .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.