A Graphical Lasso Approach to Estimating Network Connections: The Case of US Lawmakers

Working Paper: NBER ID: w27557

Authors: Marco Battaglini; Forrest W. Crawford; Eleonora Patacchini; Sida Peng

Abstract: In this paper, we propose a new approach to the estimation of social networks and we apply it to the estimation of productivity spillovers in the U.S. Congress. Social networks such as the social connections among lawmakers are not generally directly observed, they can be recovered only using the observable outcomes that they contribute to determine (such as, for example, the legislators’ effectiveness). Moreover, they are typically stable for relatively short periods of time, thus generating only short panels of observations. Our estimator has three appealing properties that allows it to work in these environments. First, it is constructed for “small” asymptotic, thus requiring only short panels of observations. Second, it requires relatively nonrestrictive sparsity assumptions for identification, thus being applicable to dense networks with (potentially) star shaped connections. Third, it allows for heterogeneous common shocks across subnetworks. The application to the U.S. Congress gives us new insights about the nature of social interactions among lawmakers. We estimate a significant decrease over time in the importance of productivity spillovers among individual lawmakers, compensated by an increase in the party level common shock over time. This suggests that the rise of partisanship is not affecting only the ideological position of legislators when they vote, but more generally how lawmakers collaborate in the U.S. Congress.

Keywords: social networks; productivity spillovers; US Congress; graphical lasso

JEL Codes: D7; D72; D85


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
social connections among lawmakers (D72)observable legislative effectiveness (K40)
rise of partisanship (D72)decrease in collaborative efforts among legislators (D72)
increase in party-level common shocks (D79)alteration in the nature of collaboration in Congress (D72)

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