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Aggregation of opinions in networks of individuals and collectives

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  • Crès, Hervé
  • Tvede, Mich

Abstract

We study the formation of opinions in a bipartite network of firms' boards and directors theoretically. A director and a board are connected provided the director is a board member. Opinions are sets of beliefs about the likelihood of different states of the world tomorrow. Our basic assumption is that boards as well as directors aggregate opinions of each other: a production plan is better than another for a board (director) provided every director (board of which she is a member) finds it better. Opinions are stable provided aggregation does not result in revision of opinions. We show that for connected networks: opinions are stable if and only if they are unambiguous and identical; and repeated aggregation leads to stable opinions. Hence, there will eventually be a single society-wide intersubjective “truth”.

Suggested Citation

  • Crès, Hervé & Tvede, Mich, 2022. "Aggregation of opinions in networks of individuals and collectives," Journal of Economic Theory, Elsevier, vol. 199(C).
  • Handle: RePEc:eee:jetheo:v:199:y:2022:i:c:s0022053121001228
    DOI: 10.1016/j.jet.2021.105305
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    1. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702.
    2. Bramoulle, Yann & Galeotti, Andrea & Rogers, Brian (ed.), 2016. "The Oxford Handbook of the Economics of Networks," OUP Catalogue, Oxford University Press, number 9780199948277.
    3. Philippe Mongin, 2012. "The doctrinal paradox, the discursive dilemma, and logical aggregation theory," Theory and Decision, Springer, vol. 73(3), pages 315-355, September.
    4. Gerald F. Davis, 1996. "The Significance of Board Interlocks for Corporate Governance," Corporate Governance: An International Review, Wiley Blackwell, vol. 4(3), pages 154-159, July.
    5. Benjamin Golub & Matthew O. Jackson, 2010. "Naïve Learning in Social Networks and the Wisdom of Crowds," American Economic Journal: Microeconomics, American Economic Association, vol. 2(1), pages 112-149, February.
    6. 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.
    7. Daron Acemoglu & Asuman Ozdaglar, 2011. "Opinion Dynamics and Learning in Social Networks," Dynamic Games and Applications, Springer, vol. 1(1), pages 3-49, March.
    8. Mongin Philippe, 1995. "Consistent Bayesian Aggregation," Journal of Economic Theory, Elsevier, vol. 66(2), pages 313-351, August.
    9. List, Christian & Pettit, Philip, 2002. "Aggregating Sets of Judgments: An Impossibility Result," Economics and Philosophy, Cambridge University Press, vol. 18(1), pages 89-110, April.
    10. Emily Breza & Arun Chandrasekhar & Benjamin Golub & Aneesha Parvathaneni, 2019. "Networks in economic development," Oxford Review of Economic Policy, Oxford University Press and Oxford Review of Economic Policy Limited, vol. 35(4), pages 678-721.
    11. Itzhak Gilboa & Andrew Postlewaite & David Schmeidler, 2012. "Rationality of belief or: why savage's axioms are neither necessary nor sufficient for rationality," Post-Print hal-00745599, HAL.
    12. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    13. Gilboa,Itzhak, 2009. "Theory of Decision under Uncertainty," Cambridge Books, Cambridge University Press, number 9780521741231.
    14. 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.
    15. Emily Breza & Arun G. Chandrasekhar & Alireza Tahbaz-Salehi, 2018. "Seeing the Forest for the Trees? An Investigation of Network Knowledge," NBER Working Papers 24359, National Bureau of Economic Research, Inc.
    16. 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.
    17. Gilboa, Itzhak & Postlewaite, Andrew & Schmeidler, David, 2009. "Is It Always Rational To Satisfy Savage'S Axioms?," Economics and Philosophy, Cambridge University Press, vol. 25(3), pages 285-296, November.
    18. Markus Mobius & Tanya Rosenblat, 2014. "Social Learning in Economics," Annual Review of Economics, Annual Reviews, vol. 6(1), pages 827-847, August.
    19. Yann Bramoullé & Andrea Galeotti & Brian Rogers, 2016. "The Oxford Handbook of the Economics of Networks," Post-Print hal-03572533, HAL.
    20. Pooya Molavi & Alireza Tahbaz‐Salehi & Ali Jadbabaie, 2018. "A Theory of Non‐Bayesian Social Learning," Econometrica, Econometric Society, vol. 86(2), pages 445-490, March.
    21. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    22. Simone Cerreia-Vioglio & Roberto Corrao & Giacomo Lanzani, 2020. "Robust Opinion Aggregation and its Dynamics," Working Papers 662, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    23. Arun G. Chandrasekhar & Horacio Larreguy & Juan Pablo Xandri, 2020. "Testing Models of Social Learning on Networks: Evidence From Two Experiments," Econometrica, Econometric Society, vol. 88(1), pages 1-32, January.
    24. 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.
    25. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
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    More about this item

    Keywords

    Boards; Directors; Networks; Pareto principle;
    All these keywords.

    JEL classification:

    • D2 - Microeconomics - - Production and Organizations
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D6 - Microeconomics - - Welfare Economics
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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