How to Choose in theory

Bowley (1924) offered a model of conjectural variation that "nests" the Cournot and Bertrand models, as well as perfect collusion ("shared monopoly").
Bresnahan (1981) showed that the idea of consistent conjectural variation leads to a unique outcome.
- But game theorists don't like this model.
Robson (1981) offered an alternative model of linear supply function competition which gives the perfect competition solution with constant marginal cost.