IDEAS home Printed from https://ideas.repec.org/p/ebg/heccah/1203.html
   My bibliography  Save this paper

Subjective Contingencies and Limited Bayesian Updating

Author

Listed:
  • Minardi, Stefania
  • Savochkin, Andrei

Abstract

We depart from Savage’s (1954) common state space assumption and introduce a model that allows for a subjective understanding of uncertainty. Within the revealed preference paradigm, we uniquely identify the agent’s subjective state space via her preferences conditional on incoming information. According to our representation, the agent’s subjective contingencies are coarser than the analyst’s states; she uses an additively separable utility with respect to her set of contingencies; and she adopts an updating rule that follows the Bayesian spirit but is limited by her perception of uncertainty. We illustrate our theory with an application to the Confirmatory Bias.

Suggested Citation

  • Minardi, Stefania & Savochkin, Andrei, 2017. "Subjective Contingencies and Limited Bayesian Updating," HEC Research Papers Series 1203, HEC Paris.
  • Handle: RePEc:ebg:heccah:1203
    as

    Download full text from publisher

    File URL: https://papers.ssrn.com/sol3/papers.cfm?abstract_id=2962260
    File Function: Full text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016064, October.
    2. Dekel, Eddie & Lipman, Barton L. & Rustichini, Aldo, 1998. "Recent developments in modeling unforeseen contingencies," European Economic Review, Elsevier, vol. 42(3-5), pages 523-542, May.
    3. Kochov, Asen, 2018. "A behavioral definition of unforeseen contingencies," Journal of Economic Theory, Elsevier, vol. 175(C), pages 265-290.
    4. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107638105, October.
    5. Milgrom, Paul & Stokey, Nancy, 1982. "Information, trade and common knowledge," Journal of Economic Theory, Elsevier, vol. 26(1), pages 17-27, February.
    6. Paolo Ghirardato, 2002. "Revisiting Savage in a conditional world," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(1), pages 83-92.
    7. Itzhak Gilboa & Larry Samuelson & David Schmeidler, 2014. "No‐Betting‐Pareto Dominance," Econometrica, Econometric Society, vol. 82(4), pages 1405-1442, July.
    8. ,, 2011. "Dynamic choice under ambiguity," Theoretical Economics, Econometric Society, vol. 6(3), September.
    9. Pietro Ortoleva & Erik Snowberg, 2015. "Overconfidence in Political Behavior," American Economic Review, American Economic Association, vol. 105(2), pages 504-535, February.
    10. Dekel, Eddie & Lipman, Barton L & Rustichini, Aldo, 2001. "Representing Preferences with a Unique Subjective State Space," Econometrica, Econometric Society, vol. 69(4), pages 891-934, July.
    11. Gilboa,Itzhak, 2009. "Theory of Decision under Uncertainty," Cambridge Books, Cambridge University Press, number 9780521517324, October.
    12. Ani Guerdjikova & John Quiggin, 2019. "Market Selection With Differential Financial Constraints," Econometrica, Econometric Society, vol. 87(5), pages 1693-1762, September.
    13. Ani Guerdjikova & John Quiggin, 2019. "Supplement to "Market Selection with Differential Financial Constraints"," Working Papers hal-02099920, HAL.
    14. Mohammed Abdellaoui & John D. Hey (ed.), 2008. "Advances in Decision Making Under Risk and Uncertainty," Theory and Decision Library C, Springer, number 978-3-540-68437-4, December.
    15. Billot, Antoine & Vergopoulos, Vassili, 2018. "Expected utility without parsimony," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 14-21.
    16. David S. Ahn & Todd Sarver, 2013. "Preference for Flexibility and Random Choice," Econometrica, Econometric Society, vol. 81(1), pages 341-361, January.
    17. Peter M. DeMarzo & Dimitri Vayanos & Jeffrey Zwiebel, 2003. "Persuasion Bias, Social Influence, and Unidimensional Opinions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 118(3), pages 909-968.
    18. Myerson, Roger B, 1986. "Multistage Games with Communication," Econometrica, Econometric Society, vol. 54(2), pages 323-358, March.
    19. Markus K. Brunnermeier & Alp Simsek & Wei Xiong, 2014. "A Welfare Criterion For Models With Distorted Beliefs," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(4), pages 1753-1797.
    20. Larry G. Epstein, 2006. "An Axiomatic Model of Non-Bayesian Updating," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(2), pages 413-436.
    21. , & ,, 2007. "Updating preferences with multiple priors," Theoretical Economics, Econometric Society, vol. 2(3), September.
    22. Epstein, Larry G. & Seo, Kyoungwon, 2009. "Subjective states: A more robust model," Games and Economic Behavior, Elsevier, vol. 67(2), pages 408-427, November.
    23. Pietro Ortoleva, 2012. "Modeling the Change of Paradigm: Non-Bayesian Reactions to Unexpected News," American Economic Review, American Economic Association, vol. 102(6), pages 2410-2436, October.
    24. David S. Ahn, 2008. "Ambiguity Without a State Space," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(1), pages 3-28.
    25. Charles F. Manski, 2004. "Measuring Expectations," Econometrica, Econometric Society, vol. 72(5), pages 1329-1376, September.
    26. Benjamin Enke & Florian Zimmermann, 2019. "Correlation Neglect in Belief Formation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(1), pages 313-332.
    27. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016057, October.
    28. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107674165, October.
    29. Klaus Nehring, 1999. "Preference for Flexibility in a Savage Framework," Econometrica, Econometric Society, vol. 67(1), pages 101-120, January.
    30. Faruk Gul & Wolfgang Pesendorfer, 2006. "Random Expected Utility," Econometrica, Econometric Society, vol. 74(1), pages 121-146, January.
    31. , G. & , & ,, 2007. "Coarse contingencies and ambiguity," Theoretical Economics, Econometric Society, vol. 2(4), December.
    32. Barton L. Lipman, 1999. "Decision Theory without Logical Omniscience: Toward an Axiomatic Framework for Bounded Rationality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(2), pages 339-361.
    33. Kreps, David M, 1979. "A Representation Theorem for "Preference for Flexibility"," Econometrica, Econometric Society, vol. 47(3), pages 565-577, May.
    34. Roger B. Myerson, 1986. "Axiomatic Foundations of Bayesian Decision Theory," Discussion Papers 671, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    35. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107627314, October.
    36. Gilat Levy & Ronny Razin, 2015. "Correlation Neglect, Voting Behavior, and Information Aggregation," American Economic Review, American Economic Association, vol. 105(4), pages 1634-1645, April.
    37. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016040, October.
    38. Truman F. Bewley, 1986. "Knightian Decision Theory: Part 1," Cowles Foundation Discussion Papers 807, Cowles Foundation for Research in Economics, Yale University.
    39. Matthew Rabin & Joel L. Schrag, 1999. "First Impressions Matter: A Model of Confirmatory Bias," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(1), pages 37-82.
    40. David S. Ahn & Haluk Ergin, 2010. "Framing Contingencies," Econometrica, Econometric Society, vol. 78(2), pages 655-695, March.
    41. Wojciech Olszewski, 2007. "Preferences Over Sets of Lotteries -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(2), pages 567-595.
    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. Chollete, Lorán & Jaffee, Dwight & Mamun, Khawaja A., 2022. "Policy suggestions from a simple framework with extreme outcomes," International Review of Economics & Finance, Elsevier, vol. 82(C), pages 374-398.
    2. Eneida Cifligu, 2024. "An Analysis of Albania’s Banking Sector: Current Trends and Future Prospects," Economic Studies journal, Bulgarian Academy of Sciences - Economic Research Institute, issue 5, pages 171-185.
    3. Evan Piermont & Peio Zuazo-Garin, 2020. "Failures of Contingent Thinking," Papers 2007.07703, arXiv.org, revised Jul 2023.
    4. Ani Guerdjikova & John Quiggin, 2019. "Market Selection With Differential Financial Constraints," Econometrica, Econometric Society, vol. 87(5), pages 1693-1762, September.
    5. Saponara, Nick, 2022. "Revealed reasoning," Journal of Economic Theory, Elsevier, vol. 199(C).
    6. Guerdjikova, A. & Quiggin, J., 2020. "Financial market equilibrium with bounded awareness," Working Papers 2020-10, Grenoble Applied Economics Laboratory (GAEL).
    7. Piermont, Evan, 2017. "Introspective unawareness and observable choice," Games and Economic Behavior, Elsevier, vol. 106(C), pages 134-152.
    8. Yuan Gu & Chao Hung Chan, 2024. "Complexity Aversion," Papers 2406.18463, arXiv.org.
    9. Lorán Chollete & Sharon G. Harrison, 2021. "Unintended Consequences: Ambiguity Neglect and Policy Ineffectiveness," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 47(2), pages 206-226, April.

    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. Christopher J. Tyson, 2018. "Rationalizability of menu preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(4), pages 917-934, June.
    2. Leonardo Pejsachowicz & Séverine Toussaert, 2017. "Choice deferral, indecisiveness and preference for flexibility," Post-Print hal-02862199, HAL.
    3. Pejsachowicz, Leonardo & Toussaert, Séverine, 2017. "Choice deferral, indecisiveness and preference for flexibility," LSE Research Online Documents on Economics 83566, London School of Economics and Political Science, LSE Library.
    4. David S. Ahn & Ryota Iijima & Yves Le Yaouanq & Todd Sarver, 2017. "Behavioral Characterizations of Naivet� for Time-Inconsistent Preferences," Cowles Foundation Discussion Papers 2074, Cowles Foundation for Research in Economics, Yale University.
    5. Pejsachowicz, Leonardo & Toussaert, Séverine, 2017. "Choice deferral, indecisiveness and preference for flexibility," Journal of Economic Theory, Elsevier, vol. 170(C), pages 417-425.
    6. Karni, Edi & Maccheroni, Fabio & Marinacci, Massimo, 2015. "Ambiguity and Nonexpected Utility," Handbook of Game Theory with Economic Applications,, Elsevier.
    7. Lefgren, Lars J. & Stoddard, Olga B. & Stovall, John E., 2021. "Rationalizing self-defeating behaviors: Theory and evidence," Journal of Health Economics, Elsevier, vol. 76(C).
    8. Riella, Gil, 2013. "Preference for Flexibility and Dynamic Consistency," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2467-2482.
    9. Robin Cubitt & Gijs van de Kuilen & Sujoy Mukerji, 2020. "Discriminating Between Models of Ambiguity Attitude: a Qualitative Test," Journal of the European Economic Association, European Economic Association, vol. 18(2), pages 708-749.
    10. De Filippis, Roberta & Guarino, Antonio & Jehiel, Philippe & Kitagawa, Toru, 2022. "Non-Bayesian updating in a social learning experiment," Journal of Economic Theory, Elsevier, vol. 199(C).
    11. Antony Millner & Hélène Ollivier, 2016. "Beliefs, Politics, and Environmental Policy," Review of Environmental Economics and Policy, Association of Environmental and Resource Economists, vol. 10(2), pages 226-244.
    12. Pierpaolo Battigalli & Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci, 2017. "Mixed extensions of decision problems under uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(4), pages 827-866, April.
    13. Eran Hanany & Peter Klibanoff & Sujoy Mukerji, 2020. "Incomplete Information Games with Ambiguity Averse Players," American Economic Journal: Microeconomics, American Economic Association, vol. 12(2), pages 135-187, May.
    14. Massimo Marinacci, 2015. "Model Uncertainty," Journal of the European Economic Association, European Economic Association, vol. 13(6), pages 1022-1100, December.
    15. Denis Shishkin & Pietro Ortoleva, 2021. "Ambiguous Information and Dilation: An Experiment," Working Papers 2020-53, Princeton University. Economics Department..
    16. Dominiak, Adam & Duersch, Peter, 2015. "Benevolent and Malevolent Ellsberg Games," Working Papers 0592, University of Heidelberg, Department of Economics.
    17. Kellner, Christian & Le Quement, Mark T., 2018. "Endogenous ambiguity in cheap talk," Journal of Economic Theory, Elsevier, vol. 173(C), pages 1-17.
    18. L. A. Franzoni, 2016. "Optimal liability design under risk and ambiguity," Working Papers wp1048, Dipartimento Scienze Economiche, Universita' di Bologna.
    19. Xiangyu Qu, 2017. "Separate aggregation of beliefs and values under ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(2), pages 503-519, February.
    20. Zappia, Carlo, 2021. "Leonard Savage, The Ellsberg Paradox, And The Debate On Subjective Probabilities: Evidence From The Archives," Journal of the History of Economic Thought, Cambridge University Press, vol. 43(2), pages 169-192, June.

    More about this item

    Keywords

    understanding of uncertainty; subjective state space; non-Bayesian updating;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:ebg:heccah:1203. 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: Antoine Haldemann (email available below). General contact details of provider: https://edirc.repec.org/data/hecpafr.html .

    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.