A 3x3 game refers to an interaction between two players where each player has three strategies to choose from. There are 9 unique outcomes. For each outcome, there is a 'payoff' for either player.
In the example below, You choose from the following options:
| A | B | C |
Your Opponent chooses from the following options:
| D | E | F |
For each combination of choices, there is a payoff for both players. We show all of the possible payoffs using a Payoff Matrix:
| Opponent | |||||
|---|---|---|---|---|---|
| D | E | F | |||
| You | A | 50, 10 | 20, 40 | 10, 30 | |
| B | 40, 20 | 30, 20 | 20, 30 | ||
| C | 10, 30 | 10, 10 | 30, 50 | ||
In this game, if you choose A and your opponent chooses E, your payoff will be 20 points and your opponent's payoff will be 40.
| E | |
|---|---|
| A | 20,40 |
You will play for 5 rounds. At the end of your task, one round will be chosen at random and your payoff will be calculated based on the outcome of that round. You will receive $0.10 for every point you achieve in the game. For example, if the result of the randomly selected round is the same as the above matrix, you will receive $2 and your opponent will receive $4.