Note: FPTP doesn’t actually give the mode of the distribution of the population. If we assume a normal distribution centered at 0, with candidates at {-0.25σ, 0, 0.25σ}, even though candidate 0 represents the mode, most voters prefer either of the two candidates towards the tail, so candidate 0 receives the fewest votes, thereby losing
I didn’t mean the distribution of the population over the political compass. I meant the distribution of the votes over candidate-labels. FPTP doesn’t do any processing to discover facts (distances and directions between the candidates), just returns the mode == the candidate with the most votes.
Note: FPTP doesn’t actually give the mode of the distribution of the population. If we assume a normal distribution centered at 0, with candidates at {-0.25σ, 0, 0.25σ}, even though candidate 0 represents the mode, most voters prefer either of the two candidates towards the tail, so candidate 0 receives the fewest votes, thereby losing
I didn’t mean the distribution of the population over the political compass. I meant the distribution of the votes over candidate-labels. FPTP doesn’t do any processing to discover facts (distances and directions between the candidates), just returns the mode == the candidate with the most votes.