MathDB3 problems
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Popular dimension conjecture for marriage problems
A marriage problem is a matching problem in which agents have preference lists over potential partners; agents may have weights, and preference lists may contain ties. The popular…
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Lassota et al.'s Condorcet dimension conjecture
An election consists of a set of candidates and voters with preferences over the candidates, and its Condorcet dimension is the minimum number of dimensions needed for a Condorcet…
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The density conjecture for practically important power distributions
Density conjecture. Achievable power vectors should be dense in the regions of the space of power distributions that are of practical importance, and the poor approximability of…