  We propose an easily implementable test of the validity of a set of
theoretical restrictions on the relationship between economic variables, which
do not necessarily identify the data generating process. The restrictions can
be derived from any model of interactions, allowing censoring and multiple
equilibria. When the restrictions are parameterized, the test can be inverted
to yield confidence regions for partially identified parameters, thereby
complementing other proposals, primarily Chernozhukov et al. [Chernozhukov, V.,
Hong, H., Tamer, E., 2007. Estimation and confidence regions for parameter sets
in econometric models. Econometrica 75, 1243-1285].
