Example bimatrix games
Rock - Scissors - Paper
(zerosum, symmetric)
A = -B = | 0 | 1 | -1 |
| -1 | 0 | 1 |
| 1 | -1 | 0 |
6x6 game with 75 equilibria
A = | -81 | 36 | -126 | 126 | -36 | 90 |
| -180 | 72 | -333 | 297 | -153 | 270 |
| 20 | -3 | 42 | -33 | 17 | -30 |
| -30 | 17 | -33 | 42 | -3 | 20 |
| 270 | -153 | 297 | -333 | 72 | -180 |
| 90 | -36 | 126 | -126 | 36 | -81 |
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B = | 72 | 36 | 17 | -3 | -36 | -153 |
| -180 | -81 | -30 | 20 | 90 | 270 |
| 297 | 126 | 42 | -33 | -126 | -333 |
| -333 | -126 | -33 | 42 | 126 | 297 |
| 270 | 90 | 20 | -30 | -81 | -180 |
| -153 | -36 | -3 | 17 | 36 | 72 |
6x6 game with 1 completely-mixed equilibrium and long Lemke-Howson paths
| -180 | 72 | -333 | 297 | -153 | 270 |
| -30 | 17 | -33 | 42 | -3 | 20 |
A = | -81 | 36 | -126 | 126 | -36 | 90 |
| 90 | -36 | 126 | -126 | 36 | -81 |
| 20 | -3 | 42 | -33 | 17 | -30 |
| 270 | -153 | 297 | -333 | 72 | -180 |
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B = | 72 | 36 | 17 | -3 | -36 | -153 |
| -180 | -81 | -30 | 20 | 90 | 270 |
| 297 | 126 | 42 | -33 | -126 | -333 |
| -333 | -126 | -33 | 42 | 126 | 297 |
| 270 | 90 | 20 | -30 | -81 | -180 |
| -153 | -36 | -3 | 17 | 36 | 72 |