Weak domination does not exclude equilibrium strategies
= Weak domination does not exclude equilibrium strategies
In the <zero-sum game> with row payoff matrix $\left(\begin{smallmatrix}0&1\\0&0\end{smallmatrix}\right)$, the second row is weakly dominated by the first. Nevertheless second row and first column form a <Nash equilibrium>: both rows tie against that column, and both columns tie against that row. Weak dominance therefore cannot be used to discard all possible equilibrium strategies without further qualifications.