Consider a population of voters uniformly distributed along the ideological spectrum from left (x = 0) to right (x = 1).

Consider a population of voters uniformly distributed along the ideological spectrumfrom left (x = 0) to right (x = 1). Each of the candidates for a single oce simultaneouslychooses a campaign platform (i.e., a point on the line between x = 0 and x = 1). The votersobserve the candidates choices, and then each voter votes for the candidate whose platformis closest to the voters position on the spectrum.