For a study in the adoption of new technology, a student and I are developing a questionnaire that will poll domain experts on their opinions of what their colleagues would think about benefits/drawbacks of adopting a particular technology. This is research in social science/business but not strictly game theory, and as we are not economists, we don't know the literature.
Have economists/game theorists investigated questions of the type What do you think other people would think? If several experts can, say, draw technology acceptance distribution functions that reflect their own beliefs about the community's attitude toward a particular strength or weakness of a new technology, then the geometrical average of those distribution functions could be a starting point for inquiry into ranking the relative importance of a set of several strengths and weaknesses. Has this been done before? By whom?
We are not asking for a tutorial here, just a pointer to where should we should start looking for prior art.
Full disclosure: I asked this question on SE/Psychology and Neuroscience and did not receive meaningful answers.