# Terminology for games with incomplete information and no prior beliefs

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!

• Thanks for your reply. Knightian Auctions seems to consider scenarios where the player $i$ has uncertainty over her private information. I was looking for scenarios where the player $i$ knows her private information precisely but has no prior beliefs about others' private information. – Vinay Jun 17 '13 at 10:59