Can anyone please tell me what is the term used for games with incomplete information and there are no prior beliefs about other players' private information.
For example, let $ v_i(a_i,\theta_i) $ be the utility function of the player $ i $ and $ a_i $ be decided for each player some how. $ \theta_i $ be the private information for player $ i $. Player $ i $ has no belief (no knowledge of probability distribution) about others' private information except that it is a real number. Few authors call such games to be pre-Bayesian games. But there seems to be no standard. It would be great if any one can let me know this. Thanks!