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Belief aggregation, updating and dynamic collective choice

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  • Hayashi, Takashi

Abstract

This paper decision-theoretically investigates the belief aggregation method which allows consistently updating the aggregate belief.

Suggested Citation

  • Hayashi, Takashi, 2024. "Belief aggregation, updating and dynamic collective choice," Journal of Mathematical Economics, Elsevier, vol. 115(C).
  • Handle: RePEc:eee:mateco:v:115:y:2024:i:c:s0304406824001101
    DOI: 10.1016/j.jmateco.2024.103050
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    References listed on IDEAS

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    1. Antoine Billot & Xiangyu Qu, 2021. "Utilitarian Aggregation with Heterogeneous Beliefs," American Economic Journal: Microeconomics, American Economic Association, vol. 13(3), pages 112-123, August.
    2. De Meyer, Bernard & Mongin, Philippe, 1995. "A note on affine aggregation," Economics Letters, Elsevier, vol. 47(2), pages 177-183, February.
    3. repec:hal:pseose:hal-01300587 is not listed on IDEAS
    4. 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.
    5. repec:hal:pseose:halshs-01415412 is not listed on IDEAS
    6. 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.
    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. 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.
    9. Boylan, Richard T & McKelvey, Richard D, 1995. "Voting over Economic Plans," American Economic Review, American Economic Association, vol. 85(4), pages 860-871, September.
    10. Shiri Alon & Gabi Gayer, 2016. "Utilitarian Preferences With Multiple Priors," Econometrica, Econometric Society, vol. 84, pages 1181-1201, May.
    11. 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.
    12. 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.
    13. Stéphane Zuber, 2011. "The aggregation of preferences: can we ignore the past?," Theory and Decision, Springer, vol. 70(3), pages 367-384, March.
    14. Mongin Philippe, 1995. "Consistent Bayesian Aggregation," Journal of Economic Theory, Elsevier, vol. 66(2), pages 313-351, August.
    15. 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.
    16. Epstein Larry G. & Le Breton Michel, 1993. "Dynamically Consistent Beliefs Must Be Bayesian," Journal of Economic Theory, Elsevier, vol. 61(1), pages 1-22, October.
    17. 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.
    18. Mongin, Philippe & Pivato, Marcus, 2015. "Ranking multidimensional alternatives and uncertain prospects," Journal of Economic Theory, Elsevier, vol. 157(C), pages 146-171.
    19. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    20. Robert A. Becker, 1980. "On the Long-Run Steady State in a Simple Dynamic Model of Equilibrium with Heterogeneous Households," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(2), pages 375-382.
    21. 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.
    22. Tangren Feng & Shaowei Ke, 2018. "Social Discounting and Intergenerational Pareto," Econometrica, Econometric Society, vol. 86(5), pages 1537-1567, September.
    23. Christopher P. Chambers & Takashi Hayashi, 2014. "Preference Aggregation With Incomplete Information," Econometrica, Econometric Society, vol. 82(2), pages 589-599, March.
    24. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November.
    25. Richard T. Boylan & Richard D. McKelvey & John Ledyard, 1996. "Political competition in a model of economic growth: Some theoretical results (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 191-205.
    26. Millner, Antony & Heal, Geoffrey, 2018. "Time consistency and time invariance in collective intertemporal choice," Journal of Economic Theory, Elsevier, vol. 176(C), pages 158-169.
    27. Matthew O. Jackson & Leeat Yariv, 2015. "Collective Dynamic Choice: The Necessity of Time Inconsistency," American Economic Journal: Microeconomics, American Economic Association, vol. 7(4), pages 150-178, November.
    28. Mongin, Philippe, 2016. "Spurious Unanimity And The Pareto Principle," Economics and Philosophy, Cambridge University Press, vol. 32(3), pages 511-532, November.
    29. Matthew O. Jackson & Leeat Yariv, 2014. "Present Bias and Collective Dynamic Choice in the Lab," American Economic Review, American Economic Association, vol. 104(12), pages 4184-4204, December.
    30. Hylland, Aanund & Zeckhauser, Richard J, 1979. "The Impossibility of Bayesian Group Decision Making with Separate Aggregation of Beliefs and Values," Econometrica, Econometric Society, vol. 47(6), pages 1321-1336, November.
    31. Michael Bacharach, 1975. "Group Decisions in the Face of Differences of Opinion," Management Science, INFORMS, vol. 22(2), pages 182-191, October.
    32. Takashi Hayashi & Michele Lombardi, 2021. "Social discount rate: spaces for agreement," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(2), pages 247-257, October.
    33. Christian Gollier & Richard Zeckhauser, 2005. "Aggregation of Heterogeneous Time Preferences," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 878-896, August.
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