Before revision:  This article introduces a computationally tractable method for estimating bounds on functionals of counterfactual distributions in continuous instrumental variable models . Its potential applications include  randomized trials with imperfect compliance, the evaluation of social programs and, more generally, simultaneous equations models.
After revision:  This article proposes a novel path-sampling approach to this challenge. It is designed for partially identifying causal effects of interest in the most complex models with continuous endogenous treatments. A stochastic process representation allows to seamlessly incorporate assumptions on individual behavior into the model. Some potential applications include randomized trials with imperfect compliance, the evaluation of social programs and, more generally, simultaneous equations models.