1) Calculate the PSNE of the Downsian Competition when there are (i) 3, (ii) 4 and (iii) 5 candidates. If you think that PSNE does not exist in any of these cases, clearly explain why. Hint: there are uncountably many possibilities. Thus. think systematically, i.e., can we have a PSNE at which they all propose the same policy, can we have a PSNE at which they all propose different policies, etc