Mixed-Strategy Games (AQA A-Level Further Maths): Flashcards

No stable solution; players randomize strategies with probabilities

Max of row minima = min of column maxima

Max of row minima ≠ min of column maxima

$E(x) = \sum x_i p_i$ (payoff × probability, summed)

Player A's expected payoff

Maximize $v$

Value to B = $-v$ (negative of A's value)

Only 2 of the $n$ strategies

Only 2 of the $n$ strategies

Check for stable solution (saddle point)