You are asked to solve a public good problem with
2 agents. Agent i has utility function a, log (g1 + g2) + x, where g, is the amount of the public good contributed by agent i and xi = amount of private consumption of agent i. The budget constraint of agent i is x, + gi = wi where w, is the initial endowment of agent i. Assuming wi > ai for each agent,
(a)compute the Pareto — optimal level of public good provision for this economy.
(b)Describe the voluntary contribution equilibria for different values of a1 and a2.