IDEAS home Printed from https://ideas.repec.org/p/ehl/lserod/68326.html
   My bibliography  Save this paper

Correlation misperception in choice

Author

Listed:
  • Ellis, Andrew
  • Piccione, Michele

Abstract

We present a decision-theoretic analysis of an agent’s understanding of the interdependencies in her choices. We provide the foundations for a simple and flexible model that allows the misperception of correlated risks. We introduce a framework in which the decision maker chooses a portfolio of assets among which she may misperceive the joint returns, and present simple axioms equivalent to a representation in which she attaches a probability to each possible joint distribution over returns and then maximizes subjective expected utility using her (possibly misspecified) beliefs.

Suggested Citation

  • Ellis, Andrew & Piccione, Michele, 2017. "Correlation misperception in choice," LSE Research Online Documents on Economics 68326, London School of Economics and Political Science, LSE Library.
  • Handle: RePEc:ehl:lserod:68326
    as

    Download full text from publisher

    File URL: http://eprints.lse.ac.uk/68326/
    File Function: Open access version.
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Martin Hellwig, 2009. "Systemic Risk in the Financial Sector: An Analysis of the Subprime-Mortgage Financial Crisis," De Economist, Springer, vol. 157(2), pages 129-207, June.
    2. Michele Piccione & Ariel Rubinstein, 2003. "Modeling the Economic Interaction of Agents With Diverse Abilities to Recognize Equilibrium Patterns," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 212-223, March.
    3. Jehiel, Philippe, 2005. "Analogy-based expectation equilibrium," Journal of Economic Theory, Elsevier, vol. 123(2), pages 81-104, August.
    4. Kochov, Asen, 2018. "A behavioral definition of unforeseen contingencies," Journal of Economic Theory, Elsevier, vol. 175(C), pages 265-290.
    5. Chew, Soo Hong & Sagi, Jacob S., 2008. "Small worlds: Modeling attitudes toward sources of uncertainty," Journal of Economic Theory, Elsevier, vol. 139(1), pages 1-24, March.
    6. Jehiel, Philippe & Koessler, Frédéric, 2008. "Revisiting games of incomplete information with analogy-based expectations," Games and Economic Behavior, Elsevier, vol. 62(2), pages 533-557, March.
    7. Erik Eyster & Michele Piccione, 2013. "An Approach to Asset Pricing Under Incomplete and Diverse Perceptions," Econometrica, Econometric Society, vol. 81(4), pages 1483-1506, July.
    8. Kota Saito, 2013. "Social Preferences under Risk: Equality of Opportunity versus Equality of Outcome," American Economic Review, American Economic Association, vol. 103(7), pages 3084-3101, December.
    9. Kyoungwon Seo, 2009. "Ambiguity and Second-Order Belief," Econometrica, Econometric Society, vol. 77(5), pages 1575-1605, September.
    10. Secretariat, 2008. "Activities of JSCES in 2007–2008," The Journal of Comparative Economic Studies (JCES), The Japanese Society for Comparative Economic Studies (JSCES), vol. 4, pages 121-122, December.
    11. Ignacio Esponda, 2008. "Behavioral Equilibrium in Economies with Adverse Selection," American Economic Review, American Economic Association, vol. 98(4), pages 1269-1291, September.
    12. Al-Najjar, Nabil I. & Casadesus-Masanell, Ramon & Ozdenoren, Emre, 2003. "Probabilistic representation of complexity," Journal of Economic Theory, Elsevier, vol. 111(1), pages 49-87, July.
    13. 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.
    14. N/A, 2008. "Fuel for Thought 19–6," Energy & Environment, , vol. 19(6), pages 877-937, November.
    15. 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.
    16. Kreps, David M, 1979. "A Representation Theorem for "Preference for Flexibility"," Econometrica, Econometric Society, vol. 47(3), pages 565-577, May.
    17. N/A, 2008. "Fuel for Thought 19–5," Energy & Environment, , vol. 19(5), pages 721-764, September.
    18. Charalambos D. Aliprantis & Kim C. Border, 2006. "Infinite Dimensional Analysis," Springer Books, Springer, edition 0, number 978-3-540-29587-7, December.
    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. Norio Takeoka & Takashi Ui, 2021. "Imprecise Information and Second-Order Beliefs," Working Papers on Central Bank Communication 037, University of Tokyo, Graduate School of Economics.
    2. Mira Frick & Ryota Iijima & Yuhta Ishii, 2018. "Dispersed Behavior and Perceptions in Assortative Societies," Cowles Foundation Discussion Papers 2128R2, Cowles Foundation for Research in Economics, Yale University, revised Oct 2021.
    3. Larry G Epstein & Yoram Halevy, 2019. "Ambiguous Correlation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(2), pages 668-693.
    4. Yiling Chen & Alon Eden & Juntao Wang, 2021. "Cursed yet Satisfied Agents," Papers 2104.00835, arXiv.org, revised Nov 2021.
    5. Philippe Jehiel, 2022. "Analogy-Based Expectation Equilibrium and Related Concepts:Theory, Applications, and Beyond," Working Papers halshs-03735680, HAL.
    6. Pooya Molavi, 2019. "Macroeconomics with Learning and Misspecification: A General Theory and Applications," 2019 Meeting Papers 1584, Society for Economic Dynamics.
    7. Levy, Gilat & Razin, Ronny, 2019. "Echo chambers and their effects on economic and political outcomes," LSE Research Online Documents on Economics 101413, London School of Economics and Political Science, LSE Library.
    8. Levy, Gilat & Razin, Ronny, 2022. "Combining forecasts in the presence of ambiguity over correlation structures," Journal of Economic Theory, Elsevier, vol. 199(C).
    9. Pauline Vorjohann, 2023. "Reference-dependent choice bracketing," Discussion Papers 2309, University of Exeter, Department of Economics.
    10. Chollete, Lorán & de la Peña, Victor & Klass, Michael, 2023. "The price of independence in a model with unknown dependence," Mathematical Social Sciences, Elsevier, vol. 123(C), pages 51-58.
    11. Mira Frick & Ryota Iijima & Yuhta Ishii, 2018. "Dispersed Behavior and Perceptions in Assortative Societies," Cowles Foundation Discussion Papers 2128R3, Cowles Foundation for Research in Economics, Yale University, revised Jun 2022.
    12. Echenique, Federico & Miyashita, Masaki & Nakamura, Yuta & Pomatto, Luciano & Vinson, Jamie, 2022. "Twofold multiprior preferences and failures of contingent reasoning," Journal of Economic Theory, Elsevier, vol. 202(C).
    13. Levy, Gilat & Moreno de Barreda, Inés & Razin, Ronny, 2022. "Persuasion with correlation neglect: a full manipulation result," LSE Research Online Documents on Economics 111551, London School of Economics and Political Science, LSE Library.
    14. Andrew Ellis, 2021. "Correlation Concern," Papers 2105.13341, arXiv.org.
    15. Andrew Ellis & David J. Freeman, 2020. "Revealing Choice Bracketing," Papers 2006.14869, arXiv.org, revised Mar 2024.
    16. Ghirardato, Paolo & Pennesi, Daniele, 2020. "A general theory of subjective mixtures," Journal of Economic Theory, Elsevier, vol. 188(C).
    17. Jawwad Noor, 2019. "Intuitive Beliefs," Cowles Foundation Discussion Papers 2216, Cowles Foundation for Research in Economics, Yale University.
    18. Andrew Ellis & Heidi Christina Thysen, 2021. "Subjective Causality in Choice," Papers 2106.05957, arXiv.org, revised Dec 2022.

    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. Spiegler, Ran, 2021. "Modeling players with random “data access”," Journal of Economic Theory, Elsevier, vol. 198(C).
    2. Mira Frick & Ryota Iijima & Yuhta Ishii, 2018. "Dispersed Behavior and Perceptions in Assortative Societies," Cowles Foundation Discussion Papers 2128, Cowles Foundation for Research in Economics, Yale University.
    3. Ran Spiegler, 2016. "Bayesian Networks and Boundedly Rational Expectations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(3), pages 1243-1290.
    4. Jehiel, Philippe, 2015. "Investment strategy and selection bias: An equilibrium perspective on overconfidence," CEPR Discussion Papers 10868, C.E.P.R. Discussion Papers.
    5. Ignacio Esponda & Demian Pouzo, 2014. "Berk-Nash Equilibrium: A Framework for Modeling Agents with Misspecified Models," Papers 1411.1152, arXiv.org, revised Nov 2019.
    6. Philippe Jehiel, 2022. "Analogy-Based Expectation Equilibrium and Related Concepts:Theory, Applications, and Beyond," Working Papers halshs-03735680, HAL.
    7. Minardi, Stefania & Savochkin, Andrei, 2019. "Subjective contingencies and limited Bayesian updating," Journal of Economic Theory, Elsevier, vol. 183(C), pages 1-45.
    8. David Ettinger & Philippe Jehiel, 2004. "Towards a Theory of Deception," Levine's Bibliography 122247000000000247, UCLA Department of Economics.
    9. Jehiel, Philippe & Singh, Juni, 2021. "Multi-state choices with aggregate feedback on unfamiliar alternatives," Games and Economic Behavior, Elsevier, vol. 130(C), pages 1-24.
    10. Barron, Kai & Huck, Steffen & Jehiel, Philippe, 2019. "Everyday econometricians: Selection neglect and overoptimism when learning from others," Discussion Papers, Research Unit: Economics of Change SP II 2019-301, WZB Berlin Social Science Center.
    11. Ran Spiegler, 2017. "“Data Monkeys”: A Procedural Model of Extrapolation from Partial Statistics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(4), pages 1818-1841.
    12. Antler, Yair, 2018. "Multilevel Marketing: Pyramid-Shaped Schemes or Exploitative Scams?," CEPR Discussion Papers 13054, C.E.P.R. Discussion Papers.
    13. Ignacio Esponda & Demian Pouzo & Yuichi Yamamoto, 2019. "Asymptotic Behavior of Bayesian Learners with Misspecified Models," Papers 1904.08551, arXiv.org, revised Oct 2019.
    14. Andrew Ellis & Heidi Christina Thysen, 2021. "Subjective Causality in Choice," Papers 2106.05957, arXiv.org, revised Dec 2022.
    15. Evan Piermont, 2021. "Hypothetical Expected Utility," Papers 2106.15979, arXiv.org, revised Jul 2021.
    16. Miettinen, Topi, 2008. "Analogy-based Expectations and the Partially Cursed Equilibrium," SSE/EFI Working Paper Series in Economics and Finance 708, Stockholm School of Economics, revised 12 Dec 2008.
    17. David Ettinger & Philippe Jehiel, 2021. "An experiment on deception, reputation and trust," Experimental Economics, Springer;Economic Science Association, vol. 24(3), pages 821-853, September.
    18. Hagenbach, Jeanne & Koessler, Frédéric, 2017. "The Streisand effect: Signaling and partial sophistication," Journal of Economic Behavior & Organization, Elsevier, vol. 143(C), pages 1-8.
    19. repec:cep:stitep:566 is not listed on IDEAS
    20. Edward Cartwright & Amrish Patel, 2010. "Public Goods, Social Norms, and Naïve Beliefs," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(2), pages 199-223, April.
    21. Milo Bianchi & Philippe Jehiel, 2019. "Bundling, Belief Dispersion, and Mispricing in Financial Markets," Working Papers halshs-02183306, HAL.

    More about this item

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

    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:ehl:lserod:68326. 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: LSERO Manager (email available below). General contact details of provider: https://edirc.repec.org/data/lsepsuk.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.