I believe you’d have to do a game theory analysis to actually get the answer (compute the mixed strategy that produces a Nash equilibrium). My intuition is that

I believe you’d have to do a game theory analysis to actually get the answer (compute the mixed strategy that produces a Nash equilibrium). My intuition is that this yields <0 EV (because it’s already so small against a uniformly random strategy, which can’t be optimal) but I didn’t do the calculation.