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Identification of treatment response with social interactions

Authors: Charles F. Manski
Date: 28 February 2013
Type: Journal Article, Econometrics Journal, Vol. 16, No. 1, pp. S1--S23
DOI: 10.1111/j.1368-423X.2012.00368.x

Abstract

This paper studies identification of potential outcome distributions when treatment response may have social interactions. Defining a person's treatment response to be a function of the entire vector of treatments received by the population, I study identification when non-parametric shape restrictions and distributional assumptions are placed on response functions. An early key result is that the traditional assumption of individualistic treatment response is a polar case within the broad class of constant treatment response (CTR) assumptions, the other pole being unrestricted interactions. Important non-polar cases are interactions within reference groups and anonymous interactions. I first study identification under Assumption CTR alone. I then strengthen this Assumption to semi-monotone response. I next discuss derivation of these assumptions from models of endogenous interactions. Finally, I combine Assumption CTR with statistical independence of potential outcomes from realized effective treatments. The findings both extend and delimit the classical analysis of randomized experiments.

Previous version:
Charles F. Manski February 2010, Identification of treatment response with social interactions, cemmap Working Paper, CWP01/10

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