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math.CO2018
A Missing Proof of The Gibbard-Satterthwaite Theorem
Uuganbaatar Ninjbat
A short and direct proof of the Gibbard-Satterthwaite theorem à la Amartya Sen's proof of Arrow's impossibility theorem is given.
math.CO2018★ 1 cited
Side Disks of a Spherical Great Polygon
Purevsuren Damba, Uuganbaatar Ninjbat
Take a circle and mark points on it designated as vertices. For any arc segment between two consecutive vertices which does not pass through any other vertex, ther…