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Comparing three ways to update Choquet beliefs

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  • Eichberger, Jürgen
  • Grant, Simon
  • Kelsey, David

Abstract

We analyze three rules for updating neo-additive capacities. Only for Generalized Bayesian Updating is relative optimism the same for both updated and unconditional capacities. For updates of the other two, either the updated capacity is fully optimistic or fully pessimistic.

Suggested Citation

  • Eichberger, Jürgen & Grant, Simon & Kelsey, David, 2010. "Comparing three ways to update Choquet beliefs," Economics Letters, Elsevier, vol. 107(2), pages 91-94, May.
    • Handle: RePEc:eee:ecolet:v:107:y:2010:i:2:p:91-94
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    References listed on IDEAS

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    1. Chateauneuf, Alain & Eichberger, Jurgen & Grant, Simon, 2007. "Choice under uncertainty with the best and worst in mind: Neo-additive capacities," Journal of Economic Theory, Elsevier, vol. 137(1), pages 538-567, November.
    2. Eichberger, Jurgen & Grant, Simon & Kelsey, David, 2007. "Updating Choquet beliefs," Journal of Mathematical Economics, Elsevier, vol. 43(7-8), pages 888-899, September.
    3. Gilboa Itzhak & Schmeidler David, 1993. "Updating Ambiguous Beliefs," Journal of Economic Theory, Elsevier, vol. 59(1), pages 33-49, February.
    4. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
    5. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
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    Cited by:

    1. Jürgen Eichberger & Simon Grant & David Kelsey, 2012. "When is ambiguity–attitude constant?," Journal of Risk and Uncertainty, Springer, vol. 45(3), pages 239-263, December.
    2. Pascal Toquebeuf, 2013. "The value of information with neo-additive beliefs," Economics Bulletin, AccessEcon, vol. 33(3), pages 2402-2406.
    3. Giraud, Raphaël & Thomas, Lionel, 2017. "Ambiguity, optimism, and pessimism in adverse selection models," Journal of Economic Theory, Elsevier, vol. 171(C), pages 64-100.
    4. Konstantinos Georgalos, 2019. "An experimental test of the predictive power of dynamic ambiguity models," Journal of Risk and Uncertainty, Springer, vol. 59(1), pages 51-83, August.
    5. Eichberger, Jürgen & Grant, Simon & Lefort, Jean-Philippe, 2008. "Neo-additive capacities and updating," Sonderforschungsbereich 504 Publications 08-31, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    6. Luca Rigotti & Matthew Ryan & Rhema Vaithianathan, 2016. "Throwing good money after bad," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 39(2), pages 175-202, November.
    7. Gérard Mondello, 2022. "Information Source's Reliability," GREDEG Working Papers 2022-21, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France, revised Oct 2022.
    8. Stauber, Ronald, 2017. "Irrationality and ambiguity in extensive games," Games and Economic Behavior, Elsevier, vol. 102(C), pages 409-432.
    9. Frick, Mira & Iijima, Ryota & Le Yaouanq, Yves, 2022. "Objective rationality foundations for (dynamic) α-MEU," Journal of Economic Theory, Elsevier, vol. 200(C).
    10. A. Ludwig & A. Zimper, 2013. "A parsimonious model of subjective life expectancy," Theory and Decision, Springer, vol. 75(4), pages 519-541, October.
    11. Adam Dominiak & Ani Guerdjikova, 2021. "Special Issue on Ambiguity and Strategic Interactions in Honor of Jürgen Eichberger," Theory and Decision, Springer, vol. 90(3), pages 301-307, May.
    12. Gérard Mondello, 2021. "Uncertainty and Information Sources' Reliability," GREDEG Working Papers 2021-31, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
    13. Christopher Boortz, 2016. "Irrational Exuberance and Herding in Financial Markets," SFB 649 Discussion Papers SFB649DP2016-016, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    14. repec:dau:papers:123456789/7332 is not listed on IDEAS
    15. Aliyev, Nihad & He, Xue-Zhong, 2023. "Ambiguous price formation," Journal of Mathematical Economics, Elsevier, vol. 106(C).
    16. Dmitri Vinogradov & Yousef Makhlouf, 2021. "Signaling probabilities in ambiguity: who reacts to vague news?," Theory and Decision, Springer, vol. 90(3), pages 371-404, May.
    17. Dominiak, Adam & Eichberger, Jürgen & Lefort, Jean-Philippe, 2012. "Agreeable trade with optimism and pessimism," Mathematical Social Sciences, Elsevier, vol. 64(2), pages 119-126.
    18. Matthew Ryan, 2021. "Feddersen and Pesendorfer meet Ellsberg," Theory and Decision, Springer, vol. 90(3), pages 543-577, May.
    19. Georgalos, Konstantinos, 2021. "Dynamic decision making under ambiguity: An experimental investigation," Games and Economic Behavior, Elsevier, vol. 127(C), pages 28-46.
    20. Aurélien Baillon & Han Bleichrodt & Umut Keskin & Olivier l’Haridon & Chen Li, 2018. "The Effect of Learning on Ambiguity Attitudes," Management Science, INFORMS, vol. 64(5), pages 2181-2198, May.
    21. Nihad Aliyev & Xue-Zhong He, 2017. "Ambiguous Market Making," Research Paper Series 383, Quantitative Finance Research Centre, University of Technology, Sydney.
    22. Adam Dominiak & Jean-Philippe Lefort, 2013. "Agreement theorem for neo-additive beliefs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 1-13, January.
    23. Bartsch, Zachary, 2019. "Economic policy uncertainty and dollar-pound exchange rate return volatility," Journal of International Money and Finance, Elsevier, vol. 98(C), pages 1-1.
    24. Aurélien Baillon & Han Bleichrodt & Umut Keskin & Olivier L'Haridon & Author-Name: Chen Li, 2013. "Learning under ambiguity: An experiment using initial public offerings on a stock market," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 201331, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
    25. Bao, Xing & Diabat, Ali & Zheng, Zhongliang, 2020. "An ambiguous manager's disruption decisions with insufficient data in recovery phase," International Journal of Production Economics, Elsevier, vol. 221(C).

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