Causal Effects with Unobserved Unit Types in Interacting Human-AI Systems

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Autori principali: Overman, William, Shirani, Sadegh, Bayati, Mohsen
Natura: Preprint
Pubblicazione: 2026
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author Overman, William
Shirani, Sadegh
Bayati, Mohsen
author_facet Overman, William
Shirani, Sadegh
Bayati, Mohsen
contents We study experiments on interacting populations of humans and AI agents, where both unit types and the interaction network remain unobserved. Although causal effects propagate throughout the system, the goal is to estimate effects on humans. Examples include online platforms where human users interact alongside AI-driven accounts. We assume a human-AI prior that gives each unit a probability of being human. While humans cannot be distinguished at the unit level, the prior allows us to compute the average human composition within large subpopulations. We then model outcome dynamics through a causal message passing (CMP) framework and analyze sample-mean outcomes across subpopulations. We show that by constructing subpopulations that vary in expected human composition and treatment exposure, one can consistently recover human-specific causal effects. Our results characterize when distributional knowledge of population composition (without observing unit types or the interaction network) is sufficient for identification. We validate the approach on a simulated human-AI platform driven by behaviorally differentiated LLM agents. Together, these results provide a theoretical and practical framework for experimentation in emerging human-AI systems.
format Preprint
id arxiv_https___arxiv_org_abs_2603_01339
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Causal Effects with Unobserved Unit Types in Interacting Human-AI Systems
Overman, William
Shirani, Sadegh
Bayati, Mohsen
Machine Learning
We study experiments on interacting populations of humans and AI agents, where both unit types and the interaction network remain unobserved. Although causal effects propagate throughout the system, the goal is to estimate effects on humans. Examples include online platforms where human users interact alongside AI-driven accounts. We assume a human-AI prior that gives each unit a probability of being human. While humans cannot be distinguished at the unit level, the prior allows us to compute the average human composition within large subpopulations. We then model outcome dynamics through a causal message passing (CMP) framework and analyze sample-mean outcomes across subpopulations. We show that by constructing subpopulations that vary in expected human composition and treatment exposure, one can consistently recover human-specific causal effects. Our results characterize when distributional knowledge of population composition (without observing unit types or the interaction network) is sufficient for identification. We validate the approach on a simulated human-AI platform driven by behaviorally differentiated LLM agents. Together, these results provide a theoretical and practical framework for experimentation in emerging human-AI systems.
title Causal Effects with Unobserved Unit Types in Interacting Human-AI Systems
topic Machine Learning
url https://arxiv.org/abs/2603.01339