  Many relationships requiring mutual agreement between pairs of actors produce
observable networks that are symmetric and undirected. Nevertheless the
unobserved, asymmetric network is often of primary scientific interest. We
propose a method that probabilistically reconstructs the unobserved, asymmetric
network from the observed, symmetric graph using a regression-based framework
that allows for inference on predictors of actors' decisions. We apply this
model to the bilateral investment treaty network. Our approach extracts
politically relevant information about the network structure that is
inaccessible to alternative approaches and has superior predictive performance.
