Consider the Cobb-Douglas utility function Suppose that a poll tax T = Ti for all i is levied on each of N members of society. Tax revenues are used to finance a public good G. a. Show that the majority voting outcome involves the amount of public good G = αNYm, where Ym denotes the before-tax income of the median voter. b. Now suppose that a proportional income tax Ti = tYi is levied. Show that the majority voting outcome involves the amount of public good is the mean income level. c. When income is uniformly distributed, which outcome is closest to the ancient outcome?

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