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
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