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.
Edge-Weighted Online Bipartite Matching.Journal of the ACM, 69(6):1–35, 2022
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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.