Boundary equilibrium of multiplicative price dynamics
= Boundary equilibrium of multiplicative price dynamics
= Boundary equilibria of multiplicative price dynamics
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In $\dot\mu_j=\kappa_j\mu_j(y_j-q_j(\mu_j))$, a zero price remains zero even if resource demand exceeds supply. Such a boundary equilibrium need not minimize the <dual congestion potential>; uniqueness of its positive minimizer does not imply uniqueness on the nonnegative orthant.