Visual explanation of the Condorcet method: Difference between revisions

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Line 15: The consensus of all voters within this faction is shown as the small black cross, and the population's overall consensus is the origin over the entire space, as denoted by the axes. (Note that this is different than claiming the consensus is a "centrist" or "moderate" position. This ideological consensus could very well be in an extreme position, and we just shifted it to the center of the image for simplicity). ~~Note that the~~The yellow "Condorcet region" always contains the overall consensus (the origin of the space), and the Condorcet winner is the closest candidate to the population consensus under all of these examples. But this is not in general true. In real life elections, we have no information about this abstract ideological space. All we have isare the ballots and election results. Nevertheless, such illustrations are helpful to understand what sort of representation is achieved by different voting methods. Asunder ~~we can see, the Condorcet winner is a good proxy for the ideological consensus of a~~different ~~population~~scenarios. As we can see, the Condorcet winner is a good proxy for the ideological consensus of a population, even though it may favor a majority faction too much under polarization (as shown in the middle-right example).