Hotelling's Location Game. Recall the voting game we discussed in class. There are two candidates, each of whom chooses a position from the set Si := f1;2; : : : ; 10g. The voters are equally distributed across these ten positions. Voters vote for the candidate whose position is closest to theirs. If the two candidates are equidistant from a given position, the voters at that position split their votes equally. The aim of the candidates is to maximize their percentage of the total vote