Zero-Sum Games (AQA A-Level Further Maths): Flashcards

One player's gain = other's loss; total = 0

Table showing outcomes for each strategy combination

Player on left; matrix shows their gains

Best guaranteed outcome regardless of opponent's move

Row player: maximise minimum gain

Column player: minimise maximum loss

Max of row minima $=$ Min of column maxima

Payoff to row player when both use best strategy

Row $i$ dominates row $j$ if all values in $i \geq j$

Column $i$ dominates $j$ if all values in $i \leq j$