b. Consider the following model: In stage 1, three potential candidates decide simultaneously whether or not to get into the race and pay the cost

c. Then, in stage 2, they take positions on the Hotelling line, with voters then choosing in an election where the candidate who gets the most votes wins. True or False: If there is a Nash equilibrium in stage 2 of the game, it must be that the probability of winning is the same for each candidate that entered the race in stage 1.