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Decisions with conflicting and imprecise information

Author

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  • Thibault Gajdos

    (X-DEP-ECO - Département d'Économie de l'École Polytechnique - X - École polytechnique - IP Paris - Institut Polytechnique de Paris, CERSES - UMR 8137 - Centre de recherche sens, ethique, société - UPD5 - Université Paris Descartes - Paris 5 - CNRS - Centre National de la Recherche Scientifique, CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Jean-Christophe Vergnaud

    (CERSES - UMR 8137 - Centre de recherche sens, ethique, société - UPD5 - Université Paris Descartes - Paris 5 - CNRS - Centre National de la Recherche Scientifique, CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract

The most usual procedure when facing decisions in complex settings consists in consulting experts, aggregating the information they provide, and deciding on the basis of this aggregated information. We argue that such a procedure entails a substantial loss, insofar as it precludes the possibility to take into account simultaneously the decision maker's attitude towards conflict among experts and her attitude towards imprecision of information. We propose to consider directly how a decision maker behaves when using information coming from several sources. We give an axiomatic foundation for a decision criterion that allows to distinguish on a behavioral basis the decision maker's attitude towards imprecision and towards conflict.

Suggested Citation

  • Thibault Gajdos & Jean-Christophe Vergnaud, 2013. "Decisions with conflicting and imprecise information," Post-Print hal-00443075, HAL.
    • Handle: RePEc:hal:journl:hal-00443075
    DOI: 10.1007/s00355-012-0691-1
    Note: View the original document on HAL open archive server: https://hal.science/hal-00443075
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    References listed on IDEAS

    as
    1. Hervé Crès & Itzhak Gilboa & Nicolas Vieille, 2011. "Aggregation of multiple prior opinions," Post-Print hal-00656618, HAL.
    2. Laure Cabantous & Denis Hilton & Howard Kunreuther & Erwann Michel-Kerjan, 2011. "Is imprecise knowledge better than conflicting expertise? Evidence from insurers’ decisions in the United States," Journal of Risk and Uncertainty, Springer, vol. 42(3), pages 211-232, June.
    3. Gajdos, Thibault & Tallon, Jean-Marc & Vergnaud, Jean-Christophe, 2004. "Decision making with imprecise probabilistic information," Journal of Mathematical Economics, Elsevier, vol. 40(6), pages 647-681, September.
    4. Chateauneuf, Alain, 1991. "On the use of capacities in modeling uncertainty aversion and risk aversion," Journal of Mathematical Economics, Elsevier, vol. 20(4), pages 343-369.
    5. Gajdos, T. & Tallon, J.-M. & Vergnaud, J.-C., 2008. "Representation and aggregation of preferences under uncertainty," Journal of Economic Theory, Elsevier, vol. 141(1), pages 68-99, July.
    6. Gajdos, T. & Hayashi, T. & Tallon, J.-M. & Vergnaud, J.-C., 2008. "Attitude toward imprecise information," Journal of Economic Theory, Elsevier, vol. 140(1), pages 27-65, May.
    7. ,, 2012. "The ex-ante aggregation of opinions under uncertainty," Theoretical Economics, Econometric Society, vol. 7(3), September.
    8. Itzhak Gilboa & Dov Samet & David Schmeidler, 2004. "Utilitarian Aggregation of Beliefs and Tastes," Journal of Political Economy, University of Chicago Press, vol. 112(4), pages 932-938, August.
    9. Smithson, Michael, 1999. "Conflict Aversion: Preference for Ambiguity vs Conflict in Sources and Evidence," Organizational Behavior and Human Decision Processes, Elsevier, vol. 79(3), pages 179-198, September.
    10. Peter A. Morris, 1974. "Decision Analysis Expert Use," Management Science, INFORMS, vol. 20(9), pages 1233-1241, May.
    11. Crès, Hervé & Gilboa, Itzhak & Vieille, Nicolas, 2011. "Aggregation of multiple prior opinions," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2563-2582.
    12. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    13. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63(4), pages 309-309.
    14. repec:hal:wpspec:info:hdl:2441/eu4vqp9ompqllr09iepso50rh is not listed on IDEAS
    15. Chambers, Christopher P. & Echenique, Federico, 2012. "When does aggregation reduce risk aversion?," Games and Economic Behavior, Elsevier, vol. 76(2), pages 582-595.
    16. Mongin Philippe, 1995. "Consistent Bayesian Aggregation," Journal of Economic Theory, Elsevier, vol. 66(2), pages 313-351, August.
    17. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    18. Peter A. Morris, 1977. "Combining Expert Judgments: A Bayesian Approach," Management Science, INFORMS, vol. 23(7), pages 679-693, March.
    19. repec:hal:spmain:info:hdl:2441/eu4vqp9ompqllr09iepso50rh is not listed on IDEAS
    20. Laure Cabantous, 2007. "Ambiguity Aversion in the Field of Insurance: Insurers’ Attitude to Imprecise and Conflicting Probability Estimates," Theory and Decision, Springer, vol. 62(3), pages 219-240, May.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. 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.
    2. ,, 2012. "The ex-ante aggregation of opinions under uncertainty," Theoretical Economics, Econometric Society, vol. 7(3), September.
    3. Eric Danan & Thibault Gajdos & Brian Hill & Jean-Marc Tallon, 2016. "Robust Social Decisions," American Economic Review, American Economic Association, vol. 106(9), pages 2407-2425, September.
    4. Berger, Loïc & Bosetti, Valentina, 2020. "Characterizing ambiguity attitudes using model uncertainty," Journal of Economic Behavior & Organization, Elsevier, vol. 180(C), pages 621-637.
    5. Hill, Brian, 2012. "Unanimity and the aggregation of multiple prior opinions," HEC Research Papers Series 959, HEC Paris.
    6. Stanca, Lorenzo, 2021. "Smooth aggregation of Bayesian experts," Journal of Economic Theory, Elsevier, vol. 196(C).
    7. Stergios Athanassoglou & Valentina Bosetti, 2015. "Setting Environmental Policy When Experts Disagree," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 61(4), pages 497-516, August.
    8. Théodora Dupont-Courtade, 2012. "Insurance demand under ambiguity and conflict for extreme risks : Evidence from a large representative survey," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00718642, HAL.
    9. Marcello Basili, 2018. "Aggregation of experts’ opinions and conditional consensus opinion," Department of Economics University of Siena 780, Department of Economics, University of Siena.
    10. Hill , Brian & Danan , Eric, 2014. "Aggregating Tastes, Beliefs, and Attitudes Under Uncertainty," HEC Research Papers Series 1057, HEC Paris.
    11. Crès, Hervé & Gilboa, Itzhak & Vieille, Nicolas, 2011. "Aggregation of multiple prior opinions," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2563-2582.
    12. repec:hal:spmain:info:hdl:2441/eu4vqp9ompqllr09iepso50rh is not listed on IDEAS
    13. Eric Danan, 2021. "Partial utilitarianism," Working Papers hal-03327900, HAL.
    14. Laure Cabantous & Denis Hilton & Howard Kunreuther & Erwann Michel-Kerjan, 2011. "Is imprecise knowledge better than conflicting expertise? Evidence from insurers’ decisions in the United States," Journal of Risk and Uncertainty, Springer, vol. 42(3), pages 211-232, June.
    15. repec:spo:wpmain:info:hdl:2441/eu4vqp9ompqllr09iepso50rh is not listed on IDEAS
    16. Jean Desrochers & J. Francois Outreville, 2013. "Uncertainty, Ambiguity and Risk Taking: an experimental investigation of consumer behavior and demand for insurance," ICER Working Papers 10-2013, ICER - International Centre for Economic Research.
    17. Aurélien Baillon & Laure Cabantous & Peter Wakker, 2012. "Aggregating imprecise or conflicting beliefs: An experimental investigation using modern ambiguity theories," Journal of Risk and Uncertainty, Springer, vol. 44(2), pages 115-147, April.
    18. repec:hal:pseose:halshs-01415412 is not listed on IDEAS
    19. Théodora Dupont-Courtade, 2012. "Insurance demand under ambiguity and conflict for extreme risks: Evidence from a large representative survey," Documents de travail du Centre d'Economie de la Sorbonne 12020, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    20. repec:hal:wpspec:info:hdl:2441/eu4vqp9ompqllr09iepso50rh is not listed on IDEAS
    21. repec:spo:wpecon:info:hdl:2441/eu4vqp9ompqllr09iepso50rh is not listed on IDEAS
    22. Théodora Dupont-Courtade, 2012. "Insurance demand under ambiguity and conflict for extreme risks : Evidence from a large representative survey," Post-Print halshs-00718642, HAL.
    23. Pablo Amorós, 2017. "The problem of aggregating experts' opinions to select the winner of a competition," Working Papers 2017-04, Universidad de Málaga, Department of Economic Theory, Málaga Economic Theory Research Center.

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    More about this item

    Keywords

    Decisions with multiple sources of information. Conflict aversion. Imprecision aversion; Decisions with multiple sources of information. Conflict aversion. Imprecision aversion.;

    JEL classification:

    • 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

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