36 Pages Posted: 13 Apr 2014 Last revised: 14 Dec 2014
Date Written: December 12, 2014
In this article, we investigate a number of flaws in the current procedure for the final draw of the FIFA World Cup. We explain how we can enforce the geographic constraints that FIFA puts on the draw without sacrificing group balancedness. As a result, we suggest three new tractable draw procedures that are fair to all teams, produce balanced and geographically diverse groups, and, for the last two, give equally likely outcomes.
Keywords: FIFA World Cup, draw procedure, geographic constraints, fairness, balancedness, uniform distribution
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