 However, the same does not hold for weakly dominated strategies. A strategy \(A\) is said to weakly dominate the strategy \(B\) if \(A\) does at least as well as \(B\) against all possible competitors, and there is at least one case where \(A\) does strictly better. When this happens, the strategy \(B\) is known as a weakly dominated strategy. Weakly dominated strategies can can appear in a Nash equilibrium, as figure 7 shows below. When both players adopt \(S_2\), it is in neither player’s interest to switch because they continue to receive a payoff of 100 — and so we have a Nash equilibrium when both players adopt \(S_2\). Yet it is also the case that \(S_1\) weakly dominates \(S_2\).