Michael P. Leung, Hyungsik Roger Moon
arXiv 24 Apr 2019 · Econometrics · publishedThe Review of Economic Studies (2019) · 6 citations (OpenAlex)
arXiv:1904.11060 · PDF · DOI · OpenAlex · Extracted main text
We prove a central limit theorem for network formation models with strategic interactions and homophilous agents. Since data often consists of observations on a single large network, we consider an asymptotic framework in which the network size diverges. We argue that a modification of “stabilization” conditions from the literature on geometric graphs provides a useful high-level formulation of weak dependence which we utilize to establish an abstract central limit theorem. Using results in branching process theory, we derive interpretable primitive conditions for stabilization. The main conditions restrict the strength of strategic interactions and equilibrium selection mechanism. We discuss practical inference procedures justified by our results.
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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.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Leung (2019) A Weak Law for Moments of Pairwise-Stable Networks self | 0.965 | 10 | 6 | 90% |
| 2 | Sheng (2020) A Structural Econometric Analysis of Network Formation Games Through Subnetworks | 0.961 | 9 | 5 | 89% |
| 3 | Leung (2022) Dependence-Robust Inference Using Resampled Statistics self | 0.874 | 6 | 2 | 100% |
| 4 | Leung (2019) Inference in Models of Discrete Choice with Social Interactions Using Network Data self | 0.843 | 3 | 3 | 100% |
| 5 | Penrose and Yukich (2008) Normal Approximation in Geometric Probability | 0.794 | 8 | 3 | 50% |
| 6 | Penrose (2007) Gaussian Limits for Random Geometric Measures | 0.773 | 13 | 3 | 46% |
| 7 | Hoff, Raftery and Handcock (2002) Latent Space Approaches to Social Network Analysis | 0.737 | 3 | 2 | 100% |
| 8 | Jackson (2010) | 0.737 | 3 | 2 | 100% |
| 9 | Menzel (2024) Strategic Network Formation with Many Agents | 0.737 | 3 | 2 | 100% |
| 10 | Ridder and Sheng (2022) Two-Step Estimation of a Strategic Network Formation Model with Clustering | 0.737 | 3 | 2 | 100% |
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arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.