Imagine that a public project costs $K and provides benefits to three people: A, B and C. Let $Va > Vb > Vc be the benefits to the three individuals. Suppose that each must pay one-third of the project’s cost.
a) Suppose that only two people will vote for the project and that the project’s total benefit exceeds its cost. Is it possible in this case that C will be willing and able to bribe B to vote against the project? Would A be willing to offer B a larger bribe to vote for the project?
b) Do these bribes serve any useful social purpose? Should such bribe be illegal?
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