Suppose that four politicians are running for office. Candidates' objective is to maximize the number of votes they receive. Voters differ because of their preferences regarding public spending on education. Suppose that public spending on education could range from 0% to 100% of the federal budget. Voters are spaced evenly throughout this range so that the median voter's most preferred outcome is 50%. Assume that voters' preferences are single peaked. a) Will the four politicians converge to the outcome preferred by the median voter? Support your answers with calculations following the lecture notes. b) Now suppose that two politicians propose to spend 25% of the federal budget on education, while the remaining two politicians propose to spend 75%. Would this scenario be an equilibrium? (Put differently, can you find a profitable deviation?)