Answers to Game Theory Practice 1. Impure Coordination Game

Answers to Game Theory Practice
1. Impure Coordination Game (NE = A1/B1, A2/B2) 1
2. Prisoner’s Dilemma (NE = A2/B2; Pareto dominated by B1/A1)
3. Chicken (NE = B2/A1, B1/A2)
4. Pure Coordination (NE = B1/A1, B2/A2)
5. Prisoner’s Dilemma (NE = B2/A2; Pareto dominated by B1/A1)
6. Assurance (NE = B1/A1, B2/A2)
7. Chicken (NE = A1/B2, A2/B1)
8. Prisoner’s Dilemma (NE = B2/A2; Pareto dominated by B1/A1)
9. Assurance (NE = A1/B1, A2/B2)
10. Impure Coordination (NE = A1/B1, A2/B2)
11. Impure Coordination (NE = A1/B2, A2/B1)
12. Assurance (NE = B1/A1, B2/A2)
13. Prisoner’s Dilemma (NE = B2/A2; Pareto dominated by B1/A1)
14. Impure Coordination (NE = B1/A1, B2/A2)
15. Chicken (NE = B2/A1, B1/A2)
Notice that the difference between pure and impure Coordination is not very important: it just signifies that both
players benefit equally from a particular equilibrium in the case of pure Coordination, and benefit unequally in the
case of impure Coordination.
1