MathDB3 problems
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Stable matching existence under the circular rule
Circular-rule existence conjecture. Under the circular rule, every 3G matching market has a stable matching.
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Multiplicity of stable matchings under the strongest link rule
Strongest-link multiplicity conjecture. Under the strongest link rule, every 3G matching market has at least two stable matchings.
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Existence of stable outcomes in circular three-dimensional matching
Circular matching existence conjecture. A stable outcome always exists for any circular 3D matching market.