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Modeling History Dependence in Network-Behavior Coevolution

Published online by Cambridge University Press:  04 January 2017

Robert J. Franzese Jr. ,
Jude C. Hays  and
Aya Kachi
Robert J. Franzese Jr.*
Affiliation:
Department of Political Science, University of Michigan, Ann Arbor, MI 48109
Jude C. Hays
Affiliation:
Department of Political Science, University of Pittsburgh, Pittsburgh, PA 15260. e-mail: jch61@pitt.edu
Aya Kachi
Affiliation:
Department of Political Science, University of Illinois, Urbana, IL 61801. e-mail: akachi2@illinois.edu
*
e-mail: franzese@umich.edu (corresponding author)
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Abstract

Spatial interdependence—the dependence of outcomes in some units on those in others—is substantively and theoretically ubiquitous and central across the social sciences. Spatial association is also omnipresent empirically. However, spatial association may arise from three importantly distinct processes: common exposure of actors to exogenous external and internal stimuli, interdependence of outcomes/behaviors across actors (contagion), and/or the putative outcomes may affect the dimensions along which the clustering occurs (selection). Accurate inference about any of these processes generally requires an empirical strategy that addresses all three well. From a spatial-econometric perspective, this suggests spatiotemporal empirical models with exogenous covariates (common exposure) and spatial lags (contagion), with the spatial weights being endogenous (selection). From a longitudinal network-analytic perspective, the same three processes are identified as potential sources of network effects and network formation. From that perspective, actors' self-selection into networks (by, e.g., behavioral homophily) and actors' behavior that is contagious through those network connections likewise demands theoretical and empirical models in which networks and behavior coevolve over time. This paper begins building such models by, on theoretical side, extending a Markov type-interaction model to allow endogenous tie-formation, and, on empirical side, merging a simple spatial-lag logit model of contagious behavior with a simple p*-logit model of network formation. One interesting consequence of network-behavior coevolution—identically, endogenous patterns of spatial interdependence—emphasized here is how it can produce history-dependent political dynamics, including equilibrium phat and path dependence (Page 2006). The paper concludes with an illustrative application to alliance formation and conflict behavior among the great powers in the first half of the twentieth century.

Type
Symposium on Path Dependence
Information
Political Analysis , Volume 20 , Issue 2 , Spring 2012 , pp. 175 - 190
Copyright
Copyright © The Author 2012. Published by Oxford University Press on behalf of the Society for Political Methodology 

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Footnotes

Edited by R. Michael Alvarez, John R. Freeman, and John E. Jackson

Authors' note: We thank commenters at the Political Methodology Conference, University of Iowa, July 2010, especially our discussant, Jan Box-Steffensmeier; at the Path Dependency Conference, University of Minnesota, June 2010, especially conveners John Freeman and John Jackson; at the Spatial Econometrics Association World Conference, Chicago, June 2010; and at the Political Networks Conference, Duke University, May 2010. All errors are ours alone.

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