A Taxonomy of 2 x 2 Games

CLASS III - No Player has a Dominant Strategy

Source: Rapoport and Guyer (1966)

No-Conflict Games
Game 58 Game 59 Game 60 Game 61 Game 62 Game 63
4, 4 2, 3
1, 1 3, 2
4, 4 2, 2
1, 1 3, 3
4, 4 2, 1
1, 2 3, 3
4, 4 1, 3
3, 1 2, 2
4, 4 1, 2
3, 1 2, 3
4, 4 1, 2
2, 1 3, 3

Two - Equilibria Games with Equilibrium Outcome

Game 64 Game 65
3, 4 2, 1
1, 2 4, 3
2, 4 3, 1
1, 2 4, 3

Two-Equilibria Games with Non-Equilibrium Outcome
Game 66 Game 67 Game 68 Game 69
3, 3 2, 4
4, 2 1, 1
2, 3 3, 4
4, 2 1, 1
2, 2 3, 4
4, 3 1, 1
2, 2 4, 3
3, 4 1, 1

Games without Equilibria
Game 70 Game 71 Game 72 Game 73 Game 74 Game 75 Game 76 Game 77 Game 78
3, 4 2, 1
4, 2 1, 3
3, 3 2, 1
4, 2 1, 4
3, 2 2, 1
4, 3 1, 4
2, 4 4, 1
3, 2 1, 3
2, 4 3, 1
4, 2 1, 3
2, 3 4, 1
3, 2 1, 4
2, 3 3, 1
4, 2 1, 4
2, 2 4, 1
3, 3 1, 4
2, 2 3, 1
4, 3 1, 4