Four Strategies Each, Two Needed
In a zero-sum game, the row player picks a row and the column player picks a column, simultaneously. The entries are the row player's winnings (the column player pays them): Row 1: −1, −4, 4, 6 Row 2: 3, 3, 0, 4 Row 3: 6, 2, −1, 6 Row 4: 8, −1, 7, 8 Both players play optimally. What is the value of the game to the row player? Give a reduced fraction.
Related problems & prerequisites
Worth solving first
- Solve the Matrix 5.0/10
- Two-Thirds of the Average 5.0/10
- The Second-Price Auction 5.0/10
Source: Standard dominance-then-mix exercise for zero-sum games; matrix original to AxiomIQ.