Lemma 3.2 Suppose that \(G=\langle N, \{S_i, u_i\}_{i\in N}\rangle\) is a strategic game. A strategy \(s_i\in S_i\) is weakly dominated (possibly by a mixed strategy) with respect to \(X\subseteq S_{-i}\) iff there is no full support probability measure \(p\in \Delta^{&gt;0}(X)\) such that \(s_i\) is a best response with respect to \(p\).