Definition 3.2 (Weak Dominance) Suppose that \(G=\langle N, \{S_i, u_i\}_{i\in N}\rangle\) is a strategic game and \(X\subseteq S_{-i}\). Let \(m_i, m_i'\in \Delta(S_i)\) be two mixed strategies for player \(i\). The strategy \(m_i\) weakly dominates \(m_i'\) with respect to \(X\) provided