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Trust and Manipulation in Social Networks

Author

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  • Manuel Förster

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, CORE - Center of Operation Research and Econometrics [Louvain] - UCL - Université Catholique de Louvain = Catholic University of Louvain)

  • Ana Mauleon

    (CORE - Center of Operation Research and Econometrics [Louvain] - UCL - Université Catholique de Louvain = Catholic University of Louvain, CEREC - Centre de recherche en économie - Université Saint-Louis - Bruxelles)

  • Vincent Vannetelbosch

    (CORE - Center of Operation Research and Econometrics [Louvain] - UCL - Université Catholique de Louvain = Catholic University of Louvain, CEREC - Centre de recherche en économie - Université Saint-Louis - Bruxelles)

Abstract

We investigate the role of manipulation in a model of opinion formation where agents have opinions about some common question of interest. Agents repeatedly communicate with their neighbors in the social network, can exert some effort to manipulate the trust of others, and update their opinions taking weighted averages of neighbors' opinions. The incentives to manipulate are given by the agents' preferences. We show that manipulation can modify the trust structure and lead to a connected society, and thus, make the society reaching a consensus. Manipulation fosters opinion leadership, but the manipulated agent may even gain influence on the long-run opinions. In sufficiently homophilic societies, manipulation accelerates (slows down) convergence if it decreases (increases) homophily. Finally, we investigate the tension between information aggregation and spread of misinformation. We find that if the ability of the manipulating agent is weak and the agents underselling (overselling) their information gain (lose) overall influence, then manipulation reduces misinformation and agents converge jointly to more accurate opinions about some underlying true state.

Suggested Citation

  • Manuel Förster & Ana Mauleon & Vincent Vannetelbosch, 2013. "Trust and Manipulation in Social Networks," Post-Print halshs-00881145, HAL.
    • Handle: RePEc:hal:journl:halshs-00881145
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00881145
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    References listed on IDEAS

    as
    1. Buechel, Berno & Hellmann, Tim & Klößner, Stefan, 2015. "Opinion dynamics and wisdom under conformity," Journal of Economic Dynamics and Control, Elsevier, vol. 52(C), pages 240-257.
    2. Caulier, Jean-François & Mauleon, Ana & Vannetelbosch, Vincent, 2015. "Allocation rules for coalitional network games," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 80-88.
    3. Förster, Manuel & Mauleon, Ana & Vannetelbosch, Vincent J., 2016. "Trust and manipulation in social networks," Network Science, Cambridge University Press, vol. 4(2), pages 216-243, June.
    4. Ana Mauleon & Vincent Vannetelbosch, 2013. "Relative Concerns and Delays in Bargaining with Private Information," Games, MDPI, vol. 4(3), pages 1-10, June.
    5. Fujita,Masahisa & Thisse,Jacques-François, 2013. "Economics of Agglomeration," Cambridge Books, Cambridge University Press, number 9781107001411.
    6. Gullberg, Anne Therese, 2008. "Lobbying friends and foes in climate policy: The case of business and environmental interest groups in the European Union," Energy Policy, Elsevier, vol. 36(8), pages 2954-2962, August.
    7. Bosmans, Kristof & Decancq, Koen & Ooghe, Erwin, 2015. "What do normative indices of multidimensional inequality really measure?," Journal of Public Economics, Elsevier, vol. 130(C), pages 94-104.
    8. Kirchsteiger, Georg & Mantovani, Marco & Mauleon, Ana & Vannetelbosch, Vincent, 2016. "Limited farsightedness in network formation," Journal of Economic Behavior & Organization, Elsevier, vol. 128(C), pages 97-120.
    9. Daron Acemoglu & Munther A. Dahleh & Ilan Lobel & Asuman Ozdaglar, 2011. "Bayesian Learning in Social Networks," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(4), pages 1201-1236.
    10. Syngjoo Choi & Douglas Gale & Shachar Kariv, 2012. "Social learning in networks: a Quantal Response Equilibrium analysis of experimental data," Review of Economic Design, Springer;Society for Economic Design, vol. 16(2), pages 135-157, September.
    11. Benjamin Golub & Matthew O. Jackson, 2012. "How Homophily Affects the Speed of Learning and Best-Response Dynamics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(3), pages 1287-1338.
    12. 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.
    13. BOUCKAERT, Nicolas & SCHOKKAERT, Erik, 2013. "Differing types of medical prevention appeal to different individuals," LIDAM Discussion Papers CORE 2013038, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    14. Bala, Alain Pholo & Peeters, Dominique & Thomas, Isabelle, 2014. "Spatial issues on a hedonic estimation of rents in Brussels," Journal of Housing Economics, Elsevier, vol. 25(C), pages 104-123.
    15. Hindriks, Jean & Myles, Gareth D., 2013. "Intermediate Public Economics," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262018691, December.
    16. Daron Acemoglu & Asuman Ozdaglar, 2011. "Opinion Dynamics and Learning in Social Networks," Dynamic Games and Applications, Springer, vol. 1(1), pages 3-49, March.
    17. Acemoglu, Daron & Ozdaglar, Asuman & ParandehGheibi, Ali, 2010. "Spread of (mis)information in social networks," Games and Economic Behavior, Elsevier, vol. 70(2), pages 194-227, November.
    18. Nigar Hashimzade & Jean Hindriks & Gareth D. Myles, 2006. "Solutions Manual to Accompany Intermediate Public Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582694, April.
    19. Arun G. Chandrasekhar & Horacio Larreguy & Juan Pablo Xandri, 2015. "Testing Models of Social Learning on Networks: Evidence from a Lab Experiment in the Field," NBER Working Papers 21468, National Bureau of Economic Research, Inc.
    20. Gaertner,Wulf & Schokkaert,Erik, 2011. "Empirical Social Choice," Cambridge Books, Cambridge University Press, number 9781107013940, September.
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    Cited by:

    1. David Müller & Vladimir Shikhman, 2022. "Network manipulation algorithm based on inexact alternating minimization," Computational Management Science, Springer, vol. 19(4), pages 627-664, October.
    2. Förster, Manuel & Mauleon, Ana & Vannetelbosch, Vincent J., 2016. "Trust and manipulation in social networks," Network Science, Cambridge University Press, vol. 4(2), pages 216-243, June.
    3. VARDAR, N. Baris, 2013. "Imperfect resource substitution and optimal transition to clean technologies," LIDAM Discussion Papers CORE 2013072, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    4. Buechel, Berno & Hellmann, Tim & Klößner, Stefan, 2015. "Opinion dynamics and wisdom under conformity," Journal of Economic Dynamics and Control, Elsevier, vol. 52(C), pages 240-257.
    5. François Maniquet & Massimo Morelli, 2015. "Approval quorums dominate participation quorums," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 1-27, June.
    6. Jean J. Gabszewicz & Skerdilajda Zanaj, 2015. "(Un)stable vertical collusive agreements," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 48(3), pages 924-939, August.
    7. PAPAVASILIOU, Anthony & HE, Yi & SVOBODA, Alva, 2013. "Self-commitment of combined cycle units under electricity price uncertainty," LIDAM Discussion Papers CORE 2013051, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Cristina Pardo-Garcia & Jose Sempere-Monerris, 2015. "Equilibrium mergers in a composite good industry with efficiencies," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 6(1), pages 101-127, March.
    9. WOLSEY, Laurence & YAMAN , Hand & ,, 2013. "Continuous knapsack sets with divisible capacities," LIDAM Discussion Papers CORE 2013063, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. Paul Belleflamme & Paul Bloch, 2013. "Dynamic Protection of Innovations through Patents and Trade Secrets," CESifo Working Paper Series 4486, CESifo.
    11. David Muller & Vladimir Shikhman, 2021. "Network manipulation algorithm based on inexact alternating minimization," Papers 2107.03754, arXiv.org, revised Jul 2021.
    12. Ana Mauleon & Elena Molis & Vincent Vannetelbosch & Wouter Vergote, 2014. "Dominance invariant one-to-one matching problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(4), pages 925-943, November.
    13. RUSSO, Federica & MOUCHART, Michel & WUNSCH, Guillaume, 2013. "Confounding and control in a multivariate system. An issue in causal attribution," LIDAM Discussion Papers CORE 2013068, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    14. LAMAS, ALEJANDRO & CHEVALIER, Philippe, 2013. "Jumping the hurdles for collaboration: fairness in operations pooling in the absence of transfer payments," LIDAM Discussion Papers CORE 2013073, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    15. Foerster, Manuel, 2018. "Finite languages, persuasion bias, and opinion fluctuations," Journal of Economic Behavior & Organization, Elsevier, vol. 149(C), pages 46-57.
    16. DI SUMMA, Marco, 2013. "The convex hull of the all-different system with the inclusion property: a simple proof," LIDAM Discussion Papers CORE 2013069, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    17. Rapanos, Theodoros, 2023. "What makes an opinion leader: Expertise vs popularity," Games and Economic Behavior, Elsevier, vol. 138(C), pages 355-372.
    18. MADANI, Mehdi & VAN VYVE, Mathieu, 2013. "A new formulation of the European day-ahead electricity market problem and its algorithmic consequences," LIDAM Discussion Papers CORE 2013074, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

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    More about this item

    Keywords

    Social networks; trust; manipulation; opinion leadership; consensus; wisdom of crowds; Réseau social; confiance; leadershpip d'opinion; sagesse de la foule;
    All these keywords.

    JEL classification:

    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
    • Z13 - Other Special Topics - - Cultural Economics - - - Economic Sociology; Economic Anthropology; Language; Social and Economic Stratification

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