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Improving Collective Estimations Using Resistance to Social Influence

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  • Gabriel Madirolas
  • Gonzalo G de Polavieja

Abstract

Groups can make precise collective estimations in cases like the weight of an object or the number of items in a volume. However, in others tasks, for example those requiring memory or mental calculation, subjects often give estimations with large deviations from factual values. Allowing members of the group to communicate their estimations has the additional perverse effect of shifting individual estimations even closer to the biased collective estimation. Here we show that this negative effect of social interactions can be turned into a method to improve collective estimations. We first obtained a statistical model of how humans change their estimation when receiving the estimates made by other individuals. We confirmed using existing experimental data its prediction that individuals use the weighted geometric mean of private and social estimations. We then used this result and the fact that each individual uses a different value of the social weight to devise a method that extracts the subgroups resisting social influence. We found that these subgroups of individuals resisting social influence can make very large improvements in group estimations. This is in contrast to methods using the confidence that each individual declares, for which we find no improvement in group estimations. Also, our proposed method does not need to use historical data to weight individuals by performance. These results show the benefits of using the individual characteristics of the members in a group to better extract collective wisdom.Author Summary: We modelled how humans interact, and used the models to find strategies that can make groups more accurate. Each individual in a group combines private and public information to make estimations. But when the public information is biased, social information has the effect of making groups agree even more on an incorrect collective estimation. We reasoned that not all individuals should be influenced equally by the incorrect public information. We obtained a model to understand how private and social information are combined, and used it to obtain a value of social resistance for each individual. We then used these values of social resistance obtained from the model to extract the subgroup of people resisting social influence, and found that they give an improved collective estimation. Collective intelligence is thus maximal when taking into account individuality in human behavior.

Suggested Citation

  • Gabriel Madirolas & Gonzalo G de Polavieja, 2015. "Improving Collective Estimations Using Resistance to Social Influence," PLOS Computational Biology, Public Library of Science, vol. 11(11), pages 1-16, November.
  • Handle: RePEc:plo:pcbi00:1004594
    DOI: 10.1371/journal.pcbi.1004594
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    References listed on IDEAS

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    1. repec:cup:cbooks:9780511771576 is not listed on IDEAS
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    Cited by:

    1. Joshua Aaron Becker & Douglas Guilbeault & Edward Bishop Smith, 2022. "The Crowd Classification Problem: Social Dynamics of Binary-Choice Accuracy," Management Science, INFORMS, vol. 68(5), pages 3949-3965, May.
    2. Bertrand Jayles & Ramon Escobedo & Stéphane Cezera & Adrien Blanchet & Tatsuya Kameda & Clément Sire & Guy Théraulaz, 2020. "The impact of incorrect social information on collective wisdom in human groups," Post-Print hal-03019820, HAL.
    3. Bertrand Jayles & Clément Sire & Ralf H J M Kurvers, 2021. "Crowd control: Reducing individual estimation bias by sharing biased social information," PLOS Computational Biology, Public Library of Science, vol. 17(11), pages 1-28, November.
    4. Vincenz Frey & Arnout van de Rijt, 2021. "Social Influence Undermines the Wisdom of the Crowd in Sequential Decision Making," Management Science, INFORMS, vol. 67(7), pages 4273-4286, July.
    5. Jayles, Bertrand & Escobedo, Ramon & Cezera, Stéphane & Blanchet, Adrien & Kameda, Tatsuya & Sire, Clément & Théraulaz, Guy, 2020. "The impact of incorrect social information on collective wisdom in human groups," TSE Working Papers 1101, Toulouse School of Economics (TSE).
    6. Christos C Ioannou & Gabriel Madirolas & Faith S Brammer & Hannah A Rapley & Gonzalo G de Polavieja, 2018. "Adolescents show collective intelligence which can be driven by a geometric mean rule of thumb," PLOS ONE, Public Library of Science, vol. 13(9), pages 1-17, September.
    7. Mariko I Ito & Hisashi Ohtsuki & Akira Sasaki, 2018. "Emergence of opinion leaders in reference networks," PLOS ONE, Public Library of Science, vol. 13(3), pages 1-21, March.
    8. Christian Ganser & Marc Keuschnigg, 2018. "Social Influence Strengthens Crowd Wisdom Under Voting," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 21(06n07), pages 1-23, September.
    9. Joshua Becker & Douglas Guilbeault & Ned Smith, 2021. "The Crowd Classification Problem: Social Dynamics of Binary Choice Accuracy," Papers 2104.11300, arXiv.org.

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