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Fixed-Population Causal Inference for Models of Equilibrium

Konrad Menzel

arXiv 31 Jan 2025 · Econometrics

arXiv:2501.19394 · PDF · DOI · OpenAlex · Extracted main text

Abstract

In contrast to problems of interference in (exogenous) treatments, models of interference in unit-specific (endogenous) outcomes do not usually produce a reduced-form representation where outcomes depend on other units' treatment status only at a short network distance, or only through a known exposure mapping. This remains true if the structural mechanism depends on outcomes of peers only at a short network distance, or through a known exposure mapping. In this paper, we first define causal estimands that are identified and estimable from a single experiment on the network under minimal assumptions on the structure of interference, and which represent average partial causal responses which generally vary with other global features of the realized assignment. Under a fixed-population, design-based approach, we show unbiasedness and consistency for inverse-probability weighting (IPW) estimators for those causal parameters from a randomized experiment on a single network. We also analyze more closely the case of marginal interventions in a model of equilibrium with smooth response functions where we can recover LATE-type weighted averages of derivatives of those response functions. Under additional structural assumptions, these “agnostic" causal estimands can be combined to recover model parameters, but also retain their less restrictive causal interpretation.

Citation extraction

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Aronow and Samii (2017) Estimating Average Causal Effects Under General Interference, with Application to a Social Network Experiment1.00084100%
2Li and Wager (2022) Random Graph Asymptotics for Treatment Effiect Estimation under Network Interference0.9285380%
3Manski (2011) Identification of Treatment Response with Social Interactions0.87452100%
4Sävje (2024) Causal Inference with Misspecified Exposure Mappings: Separating Definitions and Assumptions0.87452100%
5Harshaw, Sävje, and Wang (2022) A Design-Based Riesz Representation Framework for Randomized Experiments0.84333100%
6Bramoullé, Djebbari, and Fortin (2009) Identification of Peer Effects through Social Networks0.81142100%
7Hudgens and Halloran (2008) Toward Causal Inference with Interference0.7374275%
8Leung (2022) Causal Inference under Approximate Neighborhood Interference0.73732100%
9Tchetgen-Tchetgen and VanderWeele (2010) On Causal Inference in the Presence of Interference0.73732100%
10Abadie, Athey, Imbens, and Wooldridge (2014) Finite Population Causal Standard Errors0.64422100%

Showing the top 10 of 49 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Decomposition of Spillover Effects Under Misspecification: Pseudo-True Estimands and a Local-Global Extension0.64422
2Testing Exclusion and Shape Restrictions in Potential Outcomes Models0.40511