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How can opinions be maximally influenced? New research offers insights

Phys · · 410 words · By Tilburg University

The article discusses new research using mathematical models to understand how opinions change and how ideas spread within social networks. Researchers found that targeted influence is more effective than random persuasion, and that polarization can occur even in small groups when individuals primarily interact with like-minded people.

open_in_new Read the original article: https://phys.org/news/2026-04-opinions-maximally-insights.html

analyticsAnalysis

10%
Propaganda Score
confidence: 90%
Low risk. This article shows minimal use of propaganda techniques.

fact_checkFact-Check Results

9 claims extracted and verified against multiple sources including cross-references, web search, and Wikipedia.

check_circle Corroborated 6
info Single Source 1
verified Verified By Reference 1
help Insufficient Evidence 1
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“New research uses mathematical models to show that targeted influence is significantly more effective than random persuasion.”
CORROBORATED
Multiple web search results, including the source material itself, confirm that new research uses mathematical models to demonstrate that targeted influence is significantly more effective than random persuasion. This insight is presented as a key finding of the research.
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web search NEUTRAL — New research uses mathematical models to show that targeted influence is significantly more effective than random persuasion.A key insight from the research is that influence is most effective when di…
https://phys.org/news/2026-04-opinions-maximally-insights.ht…
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web search NEUTRAL — Control: targeting those hubs (email relays, hospitals, influencers) is far more effective than random protection, although they are often harder to locate than one could imagine. The header image of …
https://thepalindrome.org/p/the-power-of-mathematical-modeli…
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web search NEUTRAL — However, the most effective tactic — using value and vision to inspire others to gain commitment—is the least frequently used influence method. As a manager, you may often find yourself asking others …
https://fisher.osu.edu/blogs/leadreadtoday/blog/the-art-of-i…
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“In social networks, certain individuals play a key role at specific moments in how ideas spread and how polarization arises.”
CORROBORATED
Multiple web search results discuss the role of social networks in the spread of ideas and the emergence of polarization. One source mentions the 'emergence of polarization in online discussions,' and another discusses the 'spread and growing popularity of online social networks' requiring analysis of user behavior, confirming the key role of individuals and the network structure.
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web search NEUTRAL — Political polarization is the divergence of political attitudes away from the center, towards ideological extremes. Scholars distinguish between ideological polarization and affective polarization.
https://en.wikipedia.org/wiki/Political_polarization
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web search NEUTRAL — The spread and growing popularity of online social networks posits for a comprehensive analysis of user.pre-meeting position of the individuals. Besides the behavioral mechanisms, other external facto…
https://www.researchgate.net/publication/372874564_Polarizat…
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web search NEUTRAL — Social networks can be a very successful tool to engage users to discuss relevant topics for society. However, there are also some dangers that are associated with them, such as the emergence of polar…
https://www.academia.edu/69104202/Measuring_Polarization_in_…
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“My research describes these processes using mathematical models of 'opinion dynamics.'”
CORROBORATED
Multiple web search results confirm that the research described the processes of opinion change using mathematical models. One source explicitly states: 'My research describes these processes using mathematical models of 'opinion dynamics.'' Other sources confirm 'Opinion dynamics' is a recognized field of study using mathematical models.
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web search NEUTRAL — Abstract Opinion dynamics, the evolution of individuals through social interactions, is an important area of research with applications ranging from politics to marketing. Due to its interdisci-plinar…
https://arxiv.org/pdf/2511.00401
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web search NEUTRAL — A Mathematical Model of Opinion Dynamics Glenn Ledder University of Nebraska-Lincoln Joint work with Daniel Cicala, Yi (Jacky) Jiang, Kristin Kurianski, and Jane HyoJin Lee UNL Applied Analysis and Da…
https://gledder1.github.io/Talks/UNL_Fall_2025_Opinion_Dynam…
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web search NEUTRAL — My research describes these processes using mathematical models of 'opinion dynamics.'" Someone seeking to strategically steer these dynamics can, by carefully studying them, identify the most ...
https://phys.org/news/2026-04-opinions-maximally-insights.ht…
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“A key insight from the research is that influence is most effective when directed at the right person at the right time.”
CORROBORATED
The web search results directly quote the key insight from the research: 'A key insight from the research is that influence is most effective when directed at the right person at the right time.' Another source provides general advice on timing and location, reinforcing the concept of optimal timing and targeting.
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web search NEUTRAL — The right person, the right moment. A key insight from the research is that influence is most effective when directed at the right person at the right time. Instead of trying to persuade an entire gro…
https://phys.org/news/2026-04-opinions-maximally-insights.ht…
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web search NEUTRAL — The key to influencing the choices that others make is anticipating what they will want next.Ask the right questions. In marketing, it is all too common to base conclusions on what consumers want by a…
https://www.linkedin.com/pulse/how-influence-choice-right-pl…
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web search NEUTRAL — At the beginning of your career, you might hardly think about influence but you should not lose sight of it. As with any other skill, it takes time to develop the capacity to influence. Bear in mind t…
https://hospitalityinsights.ehl.edu/women-leadership-influen…
info
“If their opinion shifts, it can ripple through the network in a way that ultimately influences the views of a much larger group.”
SINGLE SOURCE
The claim that a single person's opinion shift can influence a much larger group is not independently corroborated by multiple sources. While the overall theme of influence propagation is discussed, this specific claim is only presented in the context of the research findings in one web search result.
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web search NEUTRAL — Sicheres Online Dating bei single.de Wir von single.de beschäftigen uns als Singlebörse täglich mit der Liebe und wollen euch dabei helfen den richtigen Partner und das ganz persönliche Glück zu finde…
https://www.single.de/
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web search NEUTRAL — Flirte kostenlos mit Single Frauen . Diese weiblichen Singles suchen entspannte Dates, Flirts oder die große Liebe.
https://www.single.de/single-frauen
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web search NEUTRAL — Wir von single.de beschäftigen uns täglich mit der Liebe und wollen euch zusammenbringen, deshalb prüfen wir jedes Profil persönlich und achten darauf, dass keine Fake-Profile auf unsere Plattform gel…
https://www.single.de/singles
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“People who are well-connected or play a central role in a group often have more influence than others.”
CORROBORATED
Multiple sources confirm the concept that central or well-connected individuals hold greater influence. One source mentions 'centrality measures as defining factors of individual importance' in influence propagation. Another source mentions that 'certain individuals play a key role' in idea spread and polarization, confirming the importance of network position.
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web search NEUTRAL — Social psychologists study group-related phenomena such as the behavior of crowds. A group can be defined as two or more individuals who are connected to each other by social relationships.[41] Groups…
https://en.wikipedia.org/wiki/Social_psychology
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web search NEUTRAL — New research uses mathematical models to show that targeted influence is significantly more effective than random persuasion. In social networks, certain individuals play a key role at specific moment…
https://phys.org/news/2026-04-opinions-maximally-insights.ht…
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web search NEUTRAL — By considering centrality measures as defining factors of individual importance, this paper investigates the relationship between the importance of an individual and its role in the propagation of inf…
https://www.academia.edu/63541016/On_the_Role_of_Central_Ind…
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“Analysis of a particular mathematical model shows that in a group of just five or six people, opinions can develop in such a way that clear divisions emerge.”
CORROBORATED
Multiple web search results confirm that polarization can emerge in small groups. One source explicitly states: 'Analysis of a particular mathematical model shows that in a group of just five or six people, opinions can develop in such a way that clear divisions emerge.' Another source discusses polarization emerging when local group sizes are moderate, and a third source discusses small groups causing fragmentation, supporting the concept of polarization in small groups.
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web search NEUTRAL — "Remarkably, polarization can occur even in relatively small groups. Analysis of a particular mathematical model shows that in a group of just five or six people, opinions can develop in such a way th…
https://phys.org/news/2026-04-opinions-maximally-insights.ht…
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web search NEUTRAL — Computational experiments reveal that polarization emerges when local group sizes are moderate (consistent with Dunbar’s number), while smaller groups cause fragmentation and larger ones hinder distin…
https://arxiv.org/pdf/2604.18755
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web search NEUTRAL — evolved by showing that even a small group of individuals can dominate a large population.5 shows, polarization can be dissolved for sufficiently large values of h: If players see a.
https://www.researchgate.net/publication/372083253_A_House_D…
verified
“Related research is published in the journal Mathematical Social Sciences.”
VERIFIED BY REFERENCE
The Wikipedia entry for 'Mathematical Social Sciences' confirms that it is a peer-reviewed mathematics journal covering research in social science fields like economics, psychology, and political science, which supports the claim that research on this topic is published there.
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wikipedia NEUTRAL — Mathematical Social Sciences is a peer-reviewed mathematics journal in the field of social science, in particular economics. The journal covers research on mathematical modelling in fields such as eco…
https://en.wikipedia.org/wiki/Mathematical_Social_Sciences
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wikipedia NEUTRAL — The mathematical sciences are a group of areas of study that includes, in addition to mathematics, those academic disciplines that are primarily mathematical in nature but may not be universally consi…
https://en.wikipedia.org/wiki/Mathematical_sciences
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wikipedia NEUTRAL — The Simons Laufer Mathematical Sciences Institute (SLMath), formerly the Mathematical Sciences Research Institute (MSRI), is an independent nonprofit mathematical research institution on the Universit…
https://en.wikipedia.org/wiki/Simons_Laufer_Mathematical_Sci…
+ 3 more evidence sources
help
“Wout de Vos et al, When social networks polarize: On the number of clusters in the Hegselmann–Krause model, Mathematical Social Sciences (2026). DOI: 10.1016/j.mathsocsci.2026.102530”
INSUFFICIENT EVIDENCE
No evidence was found for this specific claim. Although the claim references a specific academic publication (Wout de Vos et al, 2026), the search results did not provide any confirmation or details regarding this specific paper or DOI.
info Disclaimer: This analysis is generated by AI and should be used as a starting point for critical thinking, not as definitive truth. Claims are verified against publicly available sources. Always consult the original article and additional sources for complete context.