A Weak Law for Moments of Pairwise Stable Networks

56 Pages Posted: 23 Sep 2015 Last revised: 4 Mar 2019

See all articles by Michael P. Leung

Michael P. Leung

University of Southern California - Department of Economics

Date Written: February 11, 2019


This paper studies the dependence structure of sparse networks realized according to a strategic model of network formation with homophilous agents. We argue that equilibrium selection and chains of indirect dependence generated by strategic interactions are the main drivers of network dependence. Drawing on results in random-graph theory, we derive weak-dependence conditions under which a law of large numbers holds for a general class of network moments. A key condition restricts the strength of strategic interactions, which constitutes the network analog of conventional weak-dependence assumptions in time series and spatial econometrics that bound the magnitude of autoregressive parameters. We apply our result to estimating models of strategic network formation and treatment effects under network interference.

Keywords: social networks, network formation, multiple equilibria, objective method

JEL Classification: C31, C57, D85

Suggested Citation

Leung, Michael, A Weak Law for Moments of Pairwise Stable Networks (February 11, 2019). Available at SSRN: https://ssrn.com/abstract=2663685 or http://dx.doi.org/10.2139/ssrn.2663685

Michael Leung (Contact Author)

University of Southern California - Department of Economics ( email )

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Los Angeles, CA 90089
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