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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

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

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