2. Consider the following monitoring game. The cost of monitoring is 60. The worker's wage is 100, unless caught shirking in which case it is 0. The firm's profit if the worker works is 200; 0 otherwise. The cost of effort is 50. This is summarised by the table below: Monitor Don't Monitor Work 50,50 50.100 Shirk 0, -50 100, -100 a) Assuming effort and monitoring are chosen simultaneously, identify any pure strategy Nash equilibria. b) Identify the mixed strategy Nash equilibrium. Calculate the probability with which the worker works and the probability with which the firm monitors. c) Suppose that the cost of monitoring increases from 50 to 75. Write down the new payoff matrix. d) Calculate the mixed strategy Nash equilibrium for the payoff matrix in c)