2 problems

Let $\mathcal{G}({\Greekmath 0116},{\Greekmath 010C})$ denote the distribution of a Gumbel random variable with location-scale parameters $({\Greekmath 0116},{\Greekmath 010C})$, w…

Let $u_i$ denote the utility of option $i$, let $\boldsymbol{\mathbf{\epsilon}}$ denote the vector of random utility shocks, and let $\mathbf{q}$ be the choice-probability vector.…