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A Study of Three Influencer Archetypes for the Control of Opinion Spread in Time-Varying Social Networks

Michael DeBuse, Sean Warnick

TL;DR

Addresses how controller archetypes steer opinion spread in time-varying networks with co-evolving topology. Uses a nonlinear, stochastic model on a time-varying graph $G=(V,E)$ with $X_{[k]}\in\mathbb{R}^{n\times m}$ and $A_{[k]}$, updated by $X_{[k+1]} = W(X_{[k]},A_{[k]})X_{[k]}$, and three archetypes driven by Hadamard power $\rho$. Demonstrates through simulations that Popular and Strategic agents can shift the network's opinion distribution depending on $\rho$ and edge formation probability $\epsilon$, while Stubborn acts as a baseline; shows practical deployment of Generative AI via an Opinion Inference Engine and content generation from opinion vectors. Raises ethical considerations anchored in established frameworks (Belmont, Menlo, ACM, NIST) and advocates for responsible AI governance and further study of cognitive security. Significance: provides insight into how automated agents and LLMs can be used to influence large-scale opinion dynamics and highlights the need for ethical safeguards.

Abstract

In this work we consider the impact of information spread in time-varying social networks, where agents request to follow other agents with aligned opinions while dropping ties to neighbors whose posts are too dissimilar to their own views. Opinion control and rhetorical influence has a very long history, employing various methods including education, persuasion, propaganda, marketing, and manipulation through mis-, dis-, and mal-information. The automation of opinion controllers, however, has only recently become easily deployable at a wide scale, with the advent of large language models (LLMs) and generative AI that can translate the quantified commands from opinion controllers into actual content with the appropriate nuance. Automated agents in social networks can be deployed for various purposes, such as breaking up echo chambers, bridging valuable new connections between agents, or shaping the opinions of a target population -- and all of these raise important ethical concerns that deserve serious attention and thoughtful discussion and debate. This paper attempts to contribute to this discussion by considering three archetypal influencing styles observed by human drivers in these settings, comparing and contrasting the impact of these different control methods on the opinions of agents in the network. We will demonstrate the efficacy of current generative AI for generating nuanced content consistent with the command signal from automatic opinion controllers like these, and we will report on frameworks for approaching the relevant ethical considerations.

A Study of Three Influencer Archetypes for the Control of Opinion Spread in Time-Varying Social Networks

TL;DR

Addresses how controller archetypes steer opinion spread in time-varying networks with co-evolving topology. Uses a nonlinear, stochastic model on a time-varying graph with and , updated by , and three archetypes driven by Hadamard power . Demonstrates through simulations that Popular and Strategic agents can shift the network's opinion distribution depending on and edge formation probability , while Stubborn acts as a baseline; shows practical deployment of Generative AI via an Opinion Inference Engine and content generation from opinion vectors. Raises ethical considerations anchored in established frameworks (Belmont, Menlo, ACM, NIST) and advocates for responsible AI governance and further study of cognitive security. Significance: provides insight into how automated agents and LLMs can be used to influence large-scale opinion dynamics and highlights the need for ethical safeguards.

Abstract

In this work we consider the impact of information spread in time-varying social networks, where agents request to follow other agents with aligned opinions while dropping ties to neighbors whose posts are too dissimilar to their own views. Opinion control and rhetorical influence has a very long history, employing various methods including education, persuasion, propaganda, marketing, and manipulation through mis-, dis-, and mal-information. The automation of opinion controllers, however, has only recently become easily deployable at a wide scale, with the advent of large language models (LLMs) and generative AI that can translate the quantified commands from opinion controllers into actual content with the appropriate nuance. Automated agents in social networks can be deployed for various purposes, such as breaking up echo chambers, bridging valuable new connections between agents, or shaping the opinions of a target population -- and all of these raise important ethical concerns that deserve serious attention and thoughtful discussion and debate. This paper attempts to contribute to this discussion by considering three archetypal influencing styles observed by human drivers in these settings, comparing and contrasting the impact of these different control methods on the opinions of agents in the network. We will demonstrate the efficacy of current generative AI for generating nuanced content consistent with the command signal from automatic opinion controllers like these, and we will report on frameworks for approaching the relevant ethical considerations.
Paper Structure (15 sections, 13 equations, 7 figures, 1 table)

This paper contains 15 sections, 13 equations, 7 figures, 1 table.

Figures (7)

  • Figure 1: The feedback control of Social Networks using Automated Agents driven by Opinion Controllers coupled with Large Language Models and other Generative AI.
  • Figure 2: The nonlinear, stochastic Social Network Model in (\ref{['eq:newX']}) and (\ref{['eq:nextA']}) results in strong homophily, where agents congregate with those of similar opinions and reject differing opinions.
  • Figure 3: Tree showing the relationships between the three controller archetypes: Popular, Stubborn, and Strategic. The Hadamard power value, $\rho$, creates a spectrum of behaviors for the popular and strategic agent archetypes.
  • Figure 4: Initial random network of 50 standard agents used for controller archetype experiments. Each agent has 3 opinions, and $\theta=7$ in Equation \ref{['eq:similar_power']} for edge connectivity. Average opinions once stable are $[0.48, 0.44, 0.52]$.
  • Figure 5: Overview of simulations demonstrating the influence of various agents in opinion dynamics. Each figure represents a unique setup and outcome, illustrating the complex interplay between different agent strategies and their effects on opinion distribution within a network. The results of Figure \ref{['fig:popular_spectrum']} are explained in Section \ref{['subsec:popular']}, Section \ref{['subsec:strat_spectrum']} for Figure \ref{['fig:Strategic_spectrum']}, and Section \ref{['subsec:stratVSstub']} for Figure \ref{['fig:strat_v_stub']}.
  • ...and 2 more figures

Theorems & Definitions (8)

  • Definition 1
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