Security level payoff
= Security level payoff
{title2=$d_1=\max_s\min_j(s^TP)_j$}
A player maximizes the worst payoff it can receive against the other player's actions. Allowing the opponent to mix does not lower the worst payoff beyond a pure action, since the payoff is linear in that mixture. A <security level payoff> is an individual guarantee, not generally a <Nash equilibrium> payoff.