Threshold-based algorithms achieve simultaneous constant class envy-freeness and better-than-1/2 utilitarian social welfare in online class matching, with a nearly matching upper bound on the price of fairness.
An optimal deterministic algorithm for online b-matching.Theoretical Computer Science, 233(1-2):319–325
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Beyond the Half-Approximation: Fair and Efficient Online Class Matching
Threshold-based algorithms achieve simultaneous constant class envy-freeness and better-than-1/2 utilitarian social welfare in online class matching, with a nearly matching upper bound on the price of fairness.