Voting with Rubber Bands, Weights, and Strings

Instructions:

Drag the red dot away from the center and release it and start the simulation. Note that it always returns to the center.

Change to “Mediancentre” and try it again.

Explanation:

A profile is central if it can be decomposed as a sum of elementary reversals (such as
<0,0,1,0,0,1>) and elementary cycles (such as <1,0,1,0,1,0>). Such a decomposition may not be unique (but is unique for the one shown here). It is exactly the central profiles that yield 3-way Borda ties. The same holds for McBorda (except that we haven’t decided what McBorda does for 2-split profiles, some of which are central).
Model:   Mean   Mediancentre
Color Scheme:

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