Confirms that coordinate-wise median achieves tight approximation ratios of 2^{1-1/p} (p>=2) and sqrt(2) (1<=p<=2) and is optimal among deterministic anonymous strategyproof mechanisms; randomized mechanisms improve for p around 1.6 and above.
Nearly complete characterization of 2-agent deterministic strategyproof mech- anisms for single facility location inl p space
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Strategyproof Mechanisms for Euclidean Facility Location Problems under $L_p$-norm Social Cost
Confirms that coordinate-wise median achieves tight approximation ratios of 2^{1-1/p} (p>=2) and sqrt(2) (1<=p<=2) and is optimal among deterministic anonymous strategyproof mechanisms; randomized mechanisms improve for p around 1.6 and above.