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==Example== {{Tenn voting example}} Suppose that 100 voters each decided to grant from 0 to 10 points to each city such that their most liked choice got 10 points, and least liked choice got 0 points, with the intermediate choices getting an amount proportional to their relative distance. <!-- Distance table from Wolfram Alpha: | Memphis | Knoxville | Nashville | Chattanooga Memphis | 0 mi | 345.1 mi | 194.2 mi | 268.1 mi Knoxville | | 0 mi | 159.5 mi | 96.2 mi Nashville | | | 0 mi | 115.2 mi Chattanooga | | | | 0 mi --> {| class="wikitable" border="1" style="empty-cells: show; text-align:right;" |- !Voter from/<br />City Choice !Memphis !Nashville !Chattanooga !Knoxville !Total |- !Memphis |420 (42 Γ 10) |0 (26 Γ 0) |0 (15 Γ 0) |0 (17 Γ 0) |'''420''' |- !Nashville |168 (42 Γ 4) |260 (26 Γ 10) |90 (15 Γ 6) |85 (17 Γ 5) |'''{{Green tick}} 603''' |- !Chattanooga |84 (42 Γ 2) |104 (26 Γ 4) |150 (15 Γ 10) |119 (17 Γ 7) |'''457''' |- !Knoxville |0 (42 Γ 0) |52 (26 Γ 2) |90 (15 Γ 6) |170 (17 Γ 10) |'''312''' |} Nashville, the capital in real life, likewise wins in the example. For comparison, note that traditional first-past-the-post would elect Memphis, even though most citizens consider it the worst choice, because 42% is larger than any other single city. [[Instant-runoff voting#Tennessee capital election|Instant-runoff voting]] would elect the 2nd-worst choice (Knoxville), because the central candidates would be eliminated early (and Chattanooga voters preferring Knoxville above Nashville). In [[approval voting]], with each voter selecting their top two cities, Nashville would win because of the significant boost from Memphis residents.
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