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Note: Highest bribes paid to legislators whose ideal points are close to the median, but close to his side of the median. The lobbyist does not bribe his close supporters, but rather his marginal supporters. Close supporters will vote for a motion even without bribes.
===Proposition 2===
Now suppose that the lobbyist has some agenda power, and wants to make a proposal <math>x</math> and then bribe the legislators to vote for his
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