Hotelling'sModel (RG): Consider a population uniformly distributed along an ideological spectrum [0, 1]. Each of two candidates chooses (simultaneously) a platform represented by an ideology value x ? [0, 1]. The voters observe the platforms and choose to vote for the candidate whose platform is closest to their ideological beliefs. Suppose each candidate cares only about winning the election. What is (if any ) pure strategy Nash equilibrium for this game? [Optional] What happens if there are three (or more) candidates?