Payoff Matrix
The canonical payoff matrix is shown below (if only integer inputs are taken into account):
| 100 | 99 | 98 | 97 | ⋯ | 3 | 2 | |
|---|---|---|---|---|---|---|---|
| 100 | 100, 100 | 97, 101 | 96, 100 | 95, 99 | ⋯ | 1, 5 | 0, 4 |
| 99 | 101, 97 | 99, 99 | 96, 100 | 95, 99 | ⋯ | 1, 5 | 0, 4 |
| 98 | 100, 96 | 100, 96 | 98, 98 | 95, 99 | ⋯ | 1, 5 | 0, 4 |
| 97 | 99, 95 | 99, 95 | 99, 95 | 97, 97 | ⋯ | 1, 5 | 0, 4 |
| ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋱ | ⋮ | ⋮ |
| 3 | 5, 1 | 5, 1 | 5, 1 | 5, 1 | ⋯ | 3, 3 | 0, 4 |
| 2 | 4, 0 | 4, 0 | 4, 0 | 4, 0 | ⋯ | 4, 0 | 2, 2 |
Denoting by the set of strategies available to both players and by the payoff function of one of them we can write
(Note that the other player receives since the game is quantitatively symmetric).
Read more about this topic: Traveler's Dilemma
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