Question: Public good Question 1 (5 marks) A and B derive utilities from consumption of a private good x and a public good 6. A's utility
Public good

Question 1 (5 marks) A and B derive utilities from consumption of a private good x and a public good 6. A's utility function is u, (xA, G) = 1:5 + 2 In G and A has an income of $10 B's utility function is u3(x3, G) = x3 + 6 In G and B has an income of $10 The cost of providing 6 in dollars is C(G) = 46 The price of private good x is 51. i) Find the optimal level of public good 6 with brief explanation. (2 marks) ii) If A and B contribute to pay for the cost of 6, nd the Nash equilibrium level of G. (2 marks) iii) Discuss the equilibrium above. (1 marks)
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