(30%) 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 * and B's by y, where 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 imestment equal to 2 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 09 (b) Is there a Nash equilibrium in which one player invests and the other does not? (c) What is the lowest payoff a player can get in any Nash equilibrium