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\begin{equation} \left(\frac{u^_{j}}{\sigma}\right) = \left( \frac{\betaVec^{}}{\sigma} \right)' \xVec_{j} + \left( \frac{\alpha^{}}{\sigma} \right) p_{j} + \left( \frac{\varepsilon^{}{j}}{\sigma} \right), \quad\quad \left( \frac{\varepsilon^{*}{j}}{\sigma} \right) \sim \textrm{Gumbel}\left(0, \frac{\pi^2}{6}\right) \label{eq:utilityPreferenceScaled} \end{equation}
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