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Respond to the question: How to classify the following game?

10/17/2002 09:46 AM by name withheld; How to classify the following game?
Hello,
Suppose there are $n$ players, each having an information $d_i = d_i' + x_i$,
where $d_i'$ is a real number, and $x_i$ is a random variable (e.g. uniformly
distributed in [0,epsilon]). This is to model that player $i$ knows number
$d_i'$ with some uncertainty. Game is non-cooperative. Player $i$ based on (a realization) of $d_i$ chooses (deterministically) some action in a finite set
$S_i$. (Of course this is not complete description.) In what paper(s)/book could I find such scenario? Were such scenarios considered? Thank you in advance for your help! [Manage messages]