Randomized mechanism RR-CWM breaks the deterministic barrier in 2D facility location with expected approximation 4/π, gives dimension-dependent bounds, improves learning-augmented trade-offs, and proves lower bounds for GRD mechanisms.
Bayesian strategy-proof facility location via robust estimation
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Facility Location Mechanism Design: Breaking The Deterministic Barrier
Randomized mechanism RR-CWM breaks the deterministic barrier in 2D facility location with expected approximation 4/π, gives dimension-dependent bounds, improves learning-augmented trade-offs, and proves lower bounds for GRD mechanisms.