28.4 Everyday Application: “Winner-Take-All” Elections and the U.S. Electoral College: In the United States, presidential elections are not won by the candidate who wins the popular vote nationally. (If they were won in this way, Al Gore would have become president in 2000.) Rather, each state is given a number of “electors” equal to that state’s representation in the U.S. Congress. In almost all states, the candidate who gets the most votes gets all the electors of that state, and the presidency is won by the candidate who collects at least 270 electoral college votes.7 A. Consider a simplified version of this system in which there are only two states, with state 1 more than twice the size of state 2 and exactly twice the electoral college votes. Suppose all preferences are single-peaked along a “left/right” continuum. Let ni be the median voter’s ideal point in state i, with n1 , n2

. In the event of a statewide tie, assume the electoral college votes for the state are split.

a. If the aim of two presidential candidates is only to win, what position will they take in equilibrium?