I am considering as research an estimate of the equilibrium between supply and demand of pedagogical training, considering how the government makes a decision to offer (or not) pedagogical training to teachers, and, concomitantly, how is the decision making of teachers in participate (or not) in pedagogical training. I thought about doing this using game theory, but I'm not sure what kind of model I should use, or what I should consider to determine that model. Has anyone worked with something similar and could give me any suggestions?