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{"ops":[{"insert":"Consider a community of two families A and B, who contribute EA and EB dollars to\nthe community\u2019s events budget. Community events are a public good and the total\nquality of events provided E = EA + EB.\nAssume each family has an annual income of $60 which it splits between the events\nbudget and all other consumption spending X. Family utility functions are\ngiven by UA = XA^1\/2 E^1\/2 and UB = XB^1\/2E^1\/2.\n\n(a) What event budget would maximize the social welfare function W = UA + UB?\n(Study tip: You can either set up and solve the social planner\u2019s problem, or\nrecall the necessary condition for optimal public good provision. I recommend\nthe latter.)\n\n(b) If households privately decide how much to contribute to the event budget, what\nwill the total budget be?\n(Study tip: Begin by finding each household\u2019s best response to the other, then\nsolve. You can use the fact that the problem is symmetric to save time in this\nstep.)\n\n\n\n"}]}
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