Semi-equilibrium paths

Abstract

Let $(\tilde x,\tilde y)$, $(\tilde u,\tilde vr)$ be an equilibrium combination of an LP-problem (exponential), then every feasible solution ((x,y),(u,v)) such that

$$\left. \begin{gathered} \left( {\tilde v,\tilde u} \right)^\prime \,\text{(x(t),}\,\text{y(t))}\, = 0 \hfill \\ (\tilde y,\tilde x)'\,\,(\text{u(t)},v(t))\, = 0 \hfill \\ \end{gathered} \right\}\,\text{t}\,\underline \geqslant \,\text{1}\text{.}$$

((9.1.1))

is called a semi-equilibrium path of $(\tilde x,\tilde y)$, $(\tilde u,\tilde vr)$.