Suppose there is a joint project that generates an amount 10 for each of the individuals A and B, provided the sum total of A's and B's investments in the project is at least 7. Suppose A's investment is denoted by x and B's by y, where r and y can take any values in {0,1,2,3,4..8,9,10}. A player always has to incur the cost of the investment (equal to æ or y respectively) and gets the benefit if and only if the project goes ahead. Suppose each player is interested in his own net benefit (benefit-cost) and players choose their investment levels simultaneously. The following relate to pure strategies. (a) Is there a Nash equilibrium in which both players invest 0? (b) Is there a Nash equilibrium in which one player invests 0 and the other does not? (c) What is the lowest payoff a player can get in any Nash equilibrium?
Suppose there is a joint project that generates an amount 10 for each of the individuals A and B, provided the sum total of A's and B's investments in the project is at least 7. Suppose A's investment is denoted by x and B's by y, where r and y can take any values in {0,1,2,3,4..8,9,10}. A player always has to incur the cost of the investment (equal to æ or y respectively) and gets the benefit if and only if the project goes ahead. Suppose each player is interested in his own net benefit (benefit-cost) and players choose their investment levels simultaneously. The following relate to pure strategies. (a) Is there a Nash equilibrium in which both players invest 0? (b) Is there a Nash equilibrium in which one player invests 0 and the other does not? (c) What is the lowest payoff a player can get in any Nash equilibrium?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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