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Dominance Relation

Identifies when one solution is guaranteed to be at least as good as another.

Example

Say we have 2 assignments, A and B. If A is always at least as good as B, then A dominates B and B can be ignored.

Rules

Dominance relations must have the following properties:

  • Transitive: If A dominates B, and B dominates C, then A dominates C.
  • Irreflexive: Nothing can dominate itself.