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The Impossibility of Bayesian Group Decision Making with Separate Aggregation of Beliefs and Values

Citations

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Cited by:

  1. Marcus Pivato, 2013. "Voting rules as statistical estimators," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 581-630, February.
  2. 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.
  3. Zuber, Stéphane, 2016. "Harsanyi’s theorem without the sure-thing principle: On the consistent aggregation of Monotonic Bernoullian and Archimedean preferences," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 78-83.
  4. David M. Pennock & Michael P. Wellman, 2013. "Representing Aggregate Belief through the Competitive Equilibrium of a Securities Market," Papers 1302.1564, arXiv.org.
  5. Antoine Billot & Xiangyu Qu, 2021. "Utilitarian Aggregation with Heterogeneous Beliefs," American Economic Journal: Microeconomics, American Economic Association, vol. 13(3), pages 112-123, August.
  6. Antoine Billot & Xiangyu Qu, 2024. "Deliberative democracy and utilitarianism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 63(3), pages 603-617, November.
  7. 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.
  8. Florian Mudekereza, 2025. "Robust Aggregation of Preferences," Papers 2504.07401, arXiv.org, revised Feb 2026.
  9. SPRUMONT, Yves, 2016. "Strategy-proof choice of acts: a preliminary study," Cahiers de recherche 2016-06, Universite de Montreal, Departement de sciences economiques.
  10. Frederik S. Herzberg, 2013. "The (im)possibility of collective risk measurement: Arrovian aggregation of variational preferences," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 69-92, May.
  11. Nehring, Klaus, 2004. "The veil of public ignorance," Journal of Economic Theory, Elsevier, vol. 119(2), pages 247-270, December.
  12. Crès, Hervé & Tvede, Mich, 2022. "Aggregation of opinions in networks of individuals and collectives," Journal of Economic Theory, Elsevier, vol. 199(C).
  13. Louis Anthony (Tony) Cox, Jr., 2012. "Community Resilience and Decision Theory Challenges for Catastrophic Events," Risk Analysis, John Wiley & Sons, vol. 32(11), pages 1919-1934, November.
  14. St'ephane Gonzalez & Nikolaos Pnevmatikos, 2023. "A Story of Consistency: Bridging the Gap between Bentham and Rawls Foundations," Papers 2303.07488, arXiv.org, revised Oct 2023.
  15. Ralph Keeney & Robert Nau, 2011. "A theorem for Bayesian group decisions," Journal of Risk and Uncertainty, Springer, vol. 43(1), pages 1-17, August.
  16. Pamela Giustinelli, 2016. "Group Decision Making With Uncertain Outcomes: Unpacking Child–Parent Choice Of The High School Track," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57(2), pages 573-602, May.
  17. Florian Brandl, 2020. "Belief-Averaged Relative Utilitarianism," Papers 2005.03693, arXiv.org, revised Aug 2021.
  18. Federica Ceron & Vassili Vergopoulos, 2017. "Aggregation of Bayesian preferences: Unanimity vs Monotonicity," Documents de travail du Centre d'Economie de la Sorbonne 17028, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  19. Federica Ceron & Vassili Vergopoulos, 2017. "Aggregation of Bayesian preferences: Unanimity vs Monotonicity," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01539444, HAL.
  20. Christian Gollier, 2007. "Whom should we believe? Aggregation of heterogeneous beliefs," Journal of Risk and Uncertainty, Springer, vol. 35(2), pages 107-127, October.
  21. repec:spo:wpmain:info:hdl:2441/eu4vqp9ompqllr09iepso50rh is not listed on IDEAS
  22. repec:hal:pseose:halshs-01415412 is not listed on IDEAS
  23. Alan D. Miller, 2024. "The Limits of Tolerance," Papers 2501.00578, arXiv.org.
  24. Sprumont, Yves, 2018. "Belief-weighted Nash aggregation of Savage preferences," Journal of Economic Theory, Elsevier, vol. 178(C), pages 222-245.
  25. Takashi Hayashi, 2021. "Collective decision under ignorance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(2), pages 347-359, August.
  26. Chambers, Christopher P. & Hayashi, Takashi, 2006. "Preference aggregation under uncertainty: Savage vs. Pareto," Games and Economic Behavior, Elsevier, vol. 54(2), pages 430-440, February.
  27. Baucells, Manel & Samet, Dov, 2018. "Coalition preferences with individual prospects," Games and Economic Behavior, Elsevier, vol. 108(C), pages 585-591.
  28. Karni, Edi, 2007. "Foundations of Bayesian theory," Journal of Economic Theory, Elsevier, vol. 132(1), pages 167-188, January.
  29. 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.
  30. Bach Dong-Xuan, 2024. "Aggregation of misspecified experts," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 78(3), pages 923-943, November.
  31. Takashi Hayashi, 2019. "What Should Society Maximise Under Uncertainty?," The Japanese Economic Review, Springer, vol. 70(4), pages 446-478, December.
  32. Jesus Rios & David Rios Insua, 2009. "Supporting Negotiations over Influence Diagrams," Decision Analysis, INFORMS, vol. 6(3), pages 153-171, September.
  33. Gollier, Christian, 2003. "Who Should we Believe? Collective Risk-Taking Decisions with Heterogeneous Beliefs," IDEI Working Papers 201, Institut d'Économie Industrielle (IDEI), Toulouse.
  34. Eric Danan & Thibault Gajdos & Jean-Marc Tallon, 2015. "Harsanyi's Aggregation Theorem with Incomplete Preferences," American Economic Journal: Microeconomics, American Economic Association, vol. 7(1), pages 61-69, February.
  35. repec:spo:wpecon:info:hdl:2441/eu4vqp9ompqllr09iepso50rh is not listed on IDEAS
  36. Eric BAHEL & Yves SPRUMONT, 2017. "Strategyproof Choice of Acts : Beyond Dictatorship," Cahiers de recherche 03-2017, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  37. Crès, Hervé & Gilboa, Itzhak & Vieille, Nicolas, 2011. "Aggregation of multiple prior opinions," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2563-2582.
  38. 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.
  39. Federica Ceron & Vassili Vergopoulos, 2017. "Aggregation of Bayesian preferences: Unanimity vs Monotonicity," Post-Print halshs-01539444, HAL.
  40. Nehring, Klaus, 2007. "The impossibility of a Paretian rational: A Bayesian perspective," Economics Letters, Elsevier, vol. 96(1), pages 45-50, July.
  41. Leo Kurata & Kensei Nakamura, 2025. "Reservation of Judgment and Robust Collective Decisions," Papers 2512.16240, arXiv.org.
  42. Itzhak Gilboa, 2010. "Questions in Decision Theory," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 1-19, September.
  43. Runge, C. Ford, 1981. "Institutions and Common Property Externalities: The Assurance Problem in Economic Development," Faculty and Alumni Dissertations 206835, University of Minnesota, Department of Applied Economics.
  44. Hayashi, Takashi, 2024. "Belief aggregation, updating and dynamic collective choice," Journal of Mathematical Economics, Elsevier, vol. 115(C).
  45. Antoine Billot & Vassili Vergopoulos, 2014. "Utilitarianism with Prior Heterogeneity," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01021399, HAL.
  46. Pivato, Marcus, 2008. "The Discursive Dilemma and Probabilistic Judgement Aggregation," MPRA Paper 8412, University Library of Munich, Germany.
  47. Federica Ceron & Vassili Vergopoulos, 2019. "Aggregation of Bayesian preferences: unanimity vs monotonicity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(3), pages 419-451, March.
  48. Itzhak Gilboa & Larry Samuelson & David Schmeidler, 2014. "No‐Betting‐Pareto Dominance," Econometrica, Econometric Society, vol. 82(4), pages 1405-1442, July.
  49. Brandl, Florian, 2021. "Belief-averaging and relative utilitarianism," Journal of Economic Theory, Elsevier, vol. 198(C).
  50. Simon Grant & Idione Meneghel & Rabee Tourky, 2022. "Learning under unawareness," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(2), pages 447-475, September.
  51. Louis Anthony (Tony) Cox, 2015. "Overcoming Learning Aversion in Evaluating and Managing Uncertain Risks," Risk Analysis, John Wiley & Sons, vol. 35(10), pages 1892-1910, October.
  52. Antoine Billot & Vassili Vergopoulos, 2016. "Aggregation of Paretian preferences for independent individual uncertainties," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(4), pages 973-984, December.
  53. Kensei Nakamura, 2025. "When is it (im)possible to respect all individuals' preferences under uncertainty?," Papers 2508.12542, arXiv.org, revised Feb 2026.
  54. Gabrielle Gayer & Itzhak Gilboa & Larry Samuelson & David Schmeidler, 2014. "Pareto Efficiency with Different Beliefs," The Journal of Legal Studies, University of Chicago Press, vol. 43(S2), pages 151-171.
  55. BAHEL, Eric & SPRUMONT, Yves, 2017. "Strategyproof choice of acts: beyond dictatorship," Cahiers de recherche 2017-01, Universite de Montreal, Departement de sciences economiques.
  56. Frederik Herzberg, 2015. "Aggregating infinitely many probability measures," Theory and Decision, Springer, vol. 78(2), pages 319-337, February.
  57. Klaus Nehring, 2005. "The (Im)Possibility of a Paretian Rational," Economics Working Papers 0068, Institute for Advanced Study, School of Social Science.
  58. Leo Kurata & Kensei Nakamura, 2025. "Collective decisions under uncertainty: efficiency, ex-ante fairness, and normalization," Papers 2505.03232, arXiv.org, revised May 2026.
  59. Dietrich, Franz & List, Christian & Bradley, Richard, 2012. "A Joint Characterization of Belief Revision Rules," MPRA Paper 41240, University Library of Munich, Germany.
  60. Marc Fleurbaey, 2018. "Welfare economics, risk and uncertainty," Canadian Journal of Economics, Canadian Economics Association, vol. 51(1), pages 5-40, February.
  61. Ralph L. Keeney, 2013. "Foundations for Group Decision Analysis," Decision Analysis, INFORMS, vol. 10(2), pages 103-120, June.
  62. Wei Ma, 2025. "Random Discounting and Assessment of Intertemporal Projects: a Non-expected Utility Approach," Papers 2508.17978, arXiv.org.
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