Taxonomy of 2 x 2 Games

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