Payoff Matrix

A payoff matrix maps outcomes to players' payoffs.

Example

A horde of zombies is attacking the village where Anna and Ben live.

Anna can help or leave the village. Ben can also either help or leave the village.

They would rather be together: help together or leave together. The situation is summarized in the payoff matrix:

Ben


Anna
Help Leave
Help 3, 2 0, 0
Leave 0, 0 2, 1

If Anna Leaves the village and if Ben Leaves the village, the corresponding outcome (Leave, Leave) in the matrix is

Ben


Anna
Help Leave
Help 3, 2 0, 0
Leave 0, 0 2, 1

Anna's payoff is 2. Ben's payoff is 1.

Question

The payoff matrix is

Ben


Anna
Help Leave
Help -10, -84 3, -74
Leave -51, -19 42, -58

What is Anna's payoff if Anna chooses to Leave and Ben chooses to Help?

Anna's payoff is -51.