Before revision:  I show how inference is possible in a procedure combining discrete choice methods with simulation-based inference. I estimate the model using data from Canada's Workplace-Employee Survey for the years 1999-2005. My counterfactual analysis of education and wages shows that changes in the matching technology can lead to economically significant equilibrium changes in both inequality and the probability of investing in higher education , and that these effects are more pronounced when worker and firm attributes are complements in the match surplus function.
After revision:  I show how inference is possible in a procedure combining discrete choice methods with simulation. Counterfactual analysis using Canadian data shows that changes in the matching technology can lead to economically significant equilibrium changes in both inequality and the probability of investing in higher education , and that these effects are more pronounced when worker and firm attributes are complements in the match surplus function.