\begin{equation} u_{j} = \lambda \left( \omegaVec' \xVec_{j} - p_{j} \right) + \varepsilon_{j} \hspace{0.5in} \varepsilon_{j} \sim \textrm{Gumbel}\left(0, \frac{\pi^2}{6}\right) \label{eq:utilityWtp} \end{equation}
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