IDEAS home Printed from https://ideas.repec.org/a/bap/journl/120206.html
   My bibliography  Save this article

Certainty Equivalent Representation of Binary Gambles That Are Decomposed into Risky and Sure Parts

Author

Listed:
  • Yutaka Matsushita

    (Kanazawa Institute of Technology, Japan)

Abstract

This paper develops a weighted additive model for certainty equivalents of binary gambles with a segregation form, in the sense that they are decomposition into sure gains and risky gambles. The effect of adding a sure gain to the preference for a risky gamble is considered to be evaluated by weight. First, a certainty equivalent of every gamble is decomposed into the addition of a sure gain and a conditional certainty equivalent. Second, two new conditions are provided to express the conditional certainty equivalent as a multiplicative form by weight.

Suggested Citation

  • Yutaka Matsushita, 2012. "Certainty Equivalent Representation of Binary Gambles That Are Decomposed into Risky and Sure Parts," Review of Economics & Finance, Better Advances Press, Canada, vol. 2, pages 65-75, May.
    • Handle: RePEc:bap:journl:120206
    as

    Download full text from publisher

    File URL: http://www.bapress.ca/Journal-7/Certainty%20Equivalent%20Representation%20of%20Binary%20Gambles%20That%20Are%20Decomposed%20into%20Risky%20and%20Sure%20Parts.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    2. Peter Fishburn, 1980. "A simple model for the utility of gambling," Psychometrika, Springer;The Psychometric Society, vol. 45(4), pages 435-448, December.
    3. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    4. Enrico Diecidue & Ulrich Schmidt & Peter P. Wakker, 2004. "The Utility of Gambling Reconsidered," Journal of Risk and Uncertainty, Springer, vol. 29(3), pages 241-259, December.
    Full references (including those not matched with items on IDEAS)

    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. Ulrich Schmidt & Horst Zank, 2022. "Chance theory: A separation of riskless and risky utility," Journal of Risk and Uncertainty, Springer, vol. 65(1), pages 1-32, August.
    2. repec:cup:judgdm:v:3:y:2008:i::p:389-395 is not listed on IDEAS
    3. Sebastian Lehmann, 2014. "Toward an Understanding of the BDM: Predictive Validity, Gambling Effects, and Risk Attitude," FEMM Working Papers 150001, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    4. Brice Corgnet & Roberto Hernán González, 2023. "On The Appeal Of Complexity," Working Papers 2312, Groupe d'Analyse et de Théorie Economique Lyon St-Étienne (GATE Lyon St-Étienne), Université de Lyon.
    5. Schmidt, Ulrich & Zank, Horst, 2013. "Chance theory: A separation of riskless and risky utility," Kiel Working Papers 1874, Kiel Institute for the World Economy (IfW Kiel).
    6. Han Bleichrodt & Jose Luis Pinto Prades, 2009. "New evidence of preference reversals in health utility measurement," Health Economics, John Wiley & Sons, Ltd., vol. 18(6), pages 713-726, June.
    7. Benjamin Y. Hayden & Sarah R. Heilbronner & Amrita C. Nair & Michael L. Platt, 2008. "Cognitive influences on risk-seeking by rhesus macaques," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 3, pages 389-395, June.
    8. Mamoru Kaneko, 2020. "Toward a Resolution of the St.Petersburg Paradox," Working Papers 2014, Waseda University, Faculty of Political Science and Economics.
    9. Itzhak Gilboa & Andrew Postlewaite & Larry Samuelson & David Schmeidler, 2019. "What are axiomatizations good for?," Theory and Decision, Springer, vol. 86(3), pages 339-359, May.
    10. 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.
    11. Foster, Gigi & Frijters, Paul & Schaffner, Markus & Torgler, Benno, 2018. "Expectation formation in an evolving game of uncertainty: New experimental evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 154(C), pages 379-405.
    12. Xue Dong He & Sang Hu & Jan Obłój & Xun Yu Zhou, 2017. "Technical Note—Path-Dependent and Randomized Strategies in Barberis’ Casino Gambling Model," Operations Research, INFORMS, vol. 65(1), pages 97-103, February.
    13. Kerim Keskin, 2016. "Inverse S-shaped probability weighting functions in first-price sealed-bid auctions," Review of Economic Design, Springer;Society for Economic Design, vol. 20(1), pages 57-67, March.
    14. Moshe Levy & Haim Levy, 2013. "Prospect Theory: Much Ado About Nothing?," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 7, pages 129-144, World Scientific Publishing Co. Pte. Ltd..
    15. Lisa L. Posey & Vickie Bajtelsmit, 2017. "Insurance and Endogenous Bankruptcy Risk: When is it Rational to Choose Gambling, Insurance, and Potential Bankruptcy?," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 42(1), pages 15-40, March.
    16. James C. Cox & Vjollca Sadiraj, 2018. "Incentives," Experimental Economics Center Working Paper Series 2018-01, Experimental Economics Center, Andrew Young School of Policy Studies, Georgia State University.
    17. Andersen, Steffen & Harrison, Glenn W. & Lau, Morten Igel & Rutström, Elisabet E., 2014. "Dual criteria decisions," Journal of Economic Psychology, Elsevier, vol. 41(C), pages 101-113.
      • Andersen, Steffen & Harrison, Glenn W. & Lau, Morten Igel & Rutström, Elisabet, 2009. "Dual Criteria Decisions," Working Papers 02-2009, Copenhagen Business School, Department of Economics.
    18. Liu, Liping, 1999. "Approximate portfolio analysis," European Journal of Operational Research, Elsevier, vol. 119(1), pages 35-49, November.
    19. Jakusch, Sven Thorsten, 2017. "On the applicability of maximum likelihood methods: From experimental to financial data," SAFE Working Paper Series 148, Leibniz Institute for Financial Research SAFE, revised 2017.
    20. Mohammed Abdellaoui & Horst Zank, 2023. "Source and rank-dependent utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(4), pages 949-981, May.
    21. Uriel Procaccia & Uzi Segal, 2003. "Super Majoritarianism and the Endowment Effect," Theory and Decision, Springer, vol. 55(3), pages 181-207, November.

    More about this item

    Keywords

    Segregation; Certainty equivalent; Utility of gambling; Risk attitude;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - 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:bap:journl:120206. See general information about how to correct material in RePEc.

    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: Carlson (email available below). General contact details of provider: http://www.bapress.ca .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.