1. Consider the following modified version of the voting game. There are three presidential candidates (Candidates 1, 2 and 3) and 2 possible political positions they can choose from: Liberal or Conservative Presidential candidates are not ideologically motivated and they only care about the overall votes they will receive. Electorate is equally divided across political spectrum: 50%% of the electorate is Liberal and 50% of the electorate is Conservative. Voters vote in an honest way: they vote for the candidate who shares views closest to them. If two candidates are equally close to a political position, then each candidate will attract half of the voters in this political position. If three candidates are equally close to a political position, then each candidate will attract 1/3 of the voters in this political position. Suppose all the candidates choose a political position simultaneously. Find all pure strategy Nash equilibria of this game