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This theoretical study models the recursive feedback loop between AI content generation and social network dynamics, demonstrating how informational distortions can destabilize collective knowledge systems. The research identifies specific regulatory frontiers required to maintain stability while accounting for structural factors like homophily and core-periphery networks in information diffusion.
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AI Contagion in Social Networks

arXiv2 min read

arXiv:2606.15206v2 Announce Type: replace-cross Abstract: We study how artificial intelligence (AI) interacts with social communication networks to shape the stability of collective knowledge. Agents exchange information through a network while AI systems generate content and retrain on the aggregate informational environment they influence. This interaction creates a recursive feedback loop in which informational distortions diffuse through society and subsequently feed back into future AI outputs. Despite the high dimensionality of the environment, we show that the long-run dynamics admit a two-dimensional representation whose spectral radius completely characterizes the stability of AI-mediated information systems. We derive a sharp regulatory frontier identifying the minimum filtering required for stability and show how homophily and core-periphery network structures shape systemic informational risk.

Abstract:We study how artificial intelligence (AI) interacts with social communication networks to shape the stability of collective knowledge. Agents exchange information through a network while AI systems generate content and retrain on the aggregate informational environment they influence. This interaction creates a recursive feedback loop in which informational distortions diffuse through society and subsequently feed back into future AI outputs. Despite the high dimensionality of the environment, we show that the long-run dynamics admit a two-dimensional representation whose spectral radius completely characterizes the stability of AI-mediated information systems. We derive a sharp regulatory frontier identifying the minimum filtering required for stability and show how homophily and core-periphery network structures shape systemic informational risk.

Theoretical Economics (econ.TH); Artificial Intelligence (cs.AI); Computers and Society (cs.CY); Social and Information Networks (cs.SI)

arXiv:2606.15206 [econ.TH]

(or arXiv:2606.15206v2 [econ.TH] for this version)

https://doi.org/10.48550/arXiv.2606.15206 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 217 words

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