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Utilities are negative quadratice about ideal points (<math>x_f = 0\,</math> and <math>x_c > 0\,</math>). The committee can incur a cost <math>k\,</math> to learn the state of the world if it chooses to specialize (<math>s \in \{0,1\}\,</math>). The floor knows if the committee has specialized but not what it has learnt.
:<math>u_f = -(x-x_f)^2 = -x^2\,</math>
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