I think so. Try to browse the jounal named: Journal of Forecasting. Maybe you can get some interesting papers. Just look at journals with econometrics stuff
We used fuzzy logic as a general prediction system, trained with from recorded data suing an algorithm called PSL. For a recent publication, see attached.
The application domain is very different from yours but the approach as such is general and could maybe be of relevance for you anyway.
Kind regards, Erik
Article Simultaneous recognition and reproduction of demonstrated behavior
What about a modification of Bueno de Mesquita's predictioneer's game? The challenge is in the subject determination of preferences, influence, and intensity of focus on a particular issue. These seem like factors that could be predicted through neural networks and then used to predict outcomes.