Modeling algorithmic bias: simplicial complexes and evolving network topologies

Valentina Pansanella1, Giulio Rossetti2, Letizia Milli2,3
1Faculty of Science, Scuola Normale Superiore, Pisa, Italy
2Institute of Information Science and Technologies “Alessandro Faedo” (ISTI), National Research Council (CNR), Pisa, Italy
3Department of Computer Science, University of Pisa, Pisa, Italy

Tóm tắt

Every day, people inform themselves and create their opinions on social networks. Although these platforms have promoted the access and dissemination of information, they may expose readers to manipulative, biased, and disinformative content—co-causes of polarization/radicalization. Moreover, recommendation algorithms, intended initially to enhance platform usage, are likely to augment such phenomena, generating the so-called Algorithmic Bias. In this work, we propose two extensions of the Algorithmic Bias model and analyze them on scale-free and Erdős–Rényi random network topologies. Our first extension introduces a mechanism of link rewiring so that the underlying structure co-evolves with the opinion dynamics, generating the Adaptive Algorithmic Bias model. The second one explicitly models a peer-pressure mechanism where a majority—if there is one—can attract a disagreeing individual, pushing them to conform. As a result, we observe that the co-evolution of opinions and network structure does not significantly impact the final state when the latter is much slower than the former. On the other hand, peer pressure enhances consensus mitigating the effects of both “close-mindedness” and algorithmic filtering.

Từ khóa


Tài liệu tham khảo

Anderson A, Maystre L, Anderson I, Mehrotra R, Lalmas M (2020) Algorithmic effects on the diversity of consumption on spotify. In: Proceedings of the web conference 2020

Asch SE (1956) Studies of independence and conformity: I. A minority of one against a unanimous majority, vol 70. American Psychological Association, Washington, p 1

Barabási AL, Albert R (1999) Emergence of scaling in random networks. Science 286(5439):509–512

Battiston F, Cencetti G, Iacopini I, Latora V, Lucas M, Patania A et al (2020) Networks beyond pairwise interactions: structure and dynamics. Elsevier, Amsterdam

Benson B (2016) Cognitive bias cheat sheet. https://betterhumans.pub/cognitive-bias-cheat-sheet-55a472476b18

Bessi A, Zollo F, Vicario MD, Puliga M, Scala A, Caldarelli G et al (2016) Users polarization on Facebook and Youtube. PLoS ONE 11:e0159641

Castellano C, Muñoz MA, Pastor-Satorras R (2009) Nonlinear q-voter model. Phys Rev E 80(4):041129

Chen J, Geyer W, Dugan C, Muller M, Guy I (2009) Make new friends, but keep the old: recommending people on social networking sites. In: Proceedings of the SIGCHI conference on human factors in computing systems, pp 201–210

Cinelli M, Quattrociocchi W, Galeazzi A, Valensise CM, Brugnoli E, Schmidt AL et al (2020) The COVID-19 social media infodemic. Sci Rep 10:1–10

Conover M, Ratkiewicz J, Francisco M, Gonçalves B, Menczer F, Flammini A (2011) Political polarization on twitter. In: Proceedings of the international AAAI conference on web and social media, vol 5, pp 89–96

Conte R, Gilbert N, Bonelli G, Cioffi-Revilla C, Deffuant G, Kertész J et al (2012) Manifesto of computational social science. Eur Phys J Spec Top 214:325–346

Deffuant G, Neau D, Amblard F, Weisbuch G (2001) Mixing beliefs among interacting agents. Adv Complex Syst 3:11

Degroot M (1974) Reaching a consensus. J Am Stat Assoc 69:118–121

Drummond C, Fischhoff B (2017) Individuals with greater science literacy and education have more polarized beliefs on controversial science topics. Proc Natl Acad Sci 114:9587–9592

Erdás P, Rényi A (1959) On random graphs. I. Publ Math 6:290–297

Festinger L (1957) A theory of cognitive dissonance, vol 2. Stanford University, Redwood City

Fiorina MP, Abrams SJ (2008) Political polarization in the American public. Annu Rev Polit Sci 11:563–588

Fortunato S (2004) Universality of the threshold for complete consensus for the opinion dynamics of Deffuant et al. Int J Mod Phys C 15(09):1301–1307

Friedkin NE, Johnsen E (1990) Social influence and opinions. J Math Sociol 15:193–206

Friedkin N, Johnsen E (1999) Social influence networks and opinion change. Adv Group Process 01:16

Galam S (2002) Minority opinion spreading in random geometry. Eur Phys J B Condens Matter Complex Syst 25:403–406

Hague BN, Loader BD (1999) Digital democracy: an introduction. Discourse and decision making in the information age. Digital Democracy, Routledge, pp 3–22

Haun DBM, Tomasello M (2011) Conformity to peer pressure in preschool children. Child Dev 82(6):1759–67

Hickok A, Kureh YH, Brooks HZ, Feng M, Porter MA (2022) A bounded-confidence model of opinion dynamics on hypergraphs. ArXiv. 2022;abs/2102.06825

Hills TT (2019) The dark side of information proliferation. Perspect Psychol Sci 14:323–330

Hogan EA (2001) The attention economy: understanding the new currency of business. Acad Manag Perspect 15:145–147

Holley RA, Liggett TM (1975) Ergodic theorems for weakly interacting infinite systems and the voter model. Ann Probab 3(4):643–663

Holme P, Newman MEJ (2006) Nonequilibrium phase transition in the coevolution of networks and opinions. Phys Rev E 74(5):056108

Horstmeyer L, Kuehn C (2020) Adaptive voter model on simplicial complexes. Phys Rev E 101(2):022305

Iñiguez G, Kertész J, Kaski KK, Barrio RA (2009) Opinion and community formation in coevolving networks. Phys Rev E 80(6):066119

Iyengar S, Hahn KS (2009) Red media, blue media: evidence of ideological selectivity in media use. J Commun 59:19–39

Kan U, Feng M, Porter MA (2021) An adaptive bounded-confidence model of opinion dynamics on networks. ArXiv. 2021;abs/2112.05856

Knobloch-Westerwick S, Mothes C, Polavin N (2020) Confirmation bias, ingroup bias, and negativity bias in selective exposure to political information. Commun Res 47:104–124

Kozma B, Barrat A (2008) Consensus formation on coevolving networks: groups’ formation and structure. J Phys A 41:224020

Lorenz J (2010) Heterogeneous bounds of confidence: meet, discuss and find consensus! Complexity 15(4):43–52

Maes M, Bischofberger L (2015) Will the personalization of online social networks foster opinion polarization? Available at SSRN 2553436

McCarty N (2019) Polarization: what everyone needs to know®. Oxford University Press, Oxford

McPherson M, Smith-Lovin L, Cook JM (2001) Birds of a feather: homophily in social networks. Ann Rev Sociol 27(1):415–444

Pansanella V, Rossetti G, Milli L (2022) From mean-field to complex topologies: network effects on the algorithmic bias model. In: Gaito S, Quattrociocchi W, Sala A (eds) Complex networks and their applications X. Springer, Berlin, pp 329–340

Pariser E (2011) The filter bubble: what the Internet is hiding from you. Penguin UK, London

Peralta AF, Kertész J, Iñiguez G (2021b) Opinion formation on social networks with algorithmic bias: dynamics and bias imbalance. IOP Publishing, Bristol

Peralta AF, Kertész J, Iñiguez G (2022) Opinion dynamics in social networks: from models to data. arXiv:2201.01322

Peralta AF, Neri M, Kertész J, Iñiguez G (2021a) Effect of algorithmic bias and network structure on coexistence, consensus, and polarization of opinions. APS, New York

Perra N, Rocha LEC (2019) Modelling opinion dynamics in the age of algorithmic personalisation. Sci Rep 9:1–11

Rossetti G, Milli L, Rinzivillo S, Sîrbu A, Pedreschi D, Giannotti F (2018) NDlib: a python library to model and analyze diffusion processes over complex networks. Int J Data Sci Anal 5(1):61–79

Sasahara K, Chen W, Peng H, Ciampaglia GL, Flammini A, Menczer F (2019) Social influence and unfollowing accelerate the emergence of echo chambers. J Comput Soc Sci 4:381–402

Sîrbu A, Pedreschi D, Giannotti F, Kertész J (2019) Algorithmic bias amplifies opinion fragmentation and polarization: a bounded confidence model. PLoS ONE 14(3):e0213246

Stauffer D, Meyer-Ortmanns H (2004) Simulation of consensus model of Deffuant et al. on a Barabasi–Albert network. Int J Mod Phys C 15(02):241–246

Sunstein CR (2007) Republic.Com 2.0. Princeton University Press, Princeton

Sznajd-Weron K, Sznajd J (2000) Opinion evolution in closed community. HSC Research Reports

The Polarization Index. https://thepolarizationindex.com/

Vicario MD, Vivaldo G, Bessi A, Zollo F, Scala A, Caldarelli G et al (2016) Echo chambers: emotional contagion and group polarization on Facebook. Sci Rep 6:1–12

Weisbuch G (2004) Bounded confidence and social networks. Eur Phys J B 38:339–343