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A slightly simplified version of the model used now follows.
Legislators have ideal points: <math>z \backsim U[-\frac{1}{2},\frac{1},{2}]</math>
, with the median legislator's ideal point denoted z_m</math>.
The utility function of legislators is additively-seperable with a term representing their constituent's preferences and a term for the resources provided to them by the client:
<math> U(w,z)=-\alpha</math>
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