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Hau Chan

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Preprint Sep 2026

Improved Randomized Approximations for Strategic Obnoxious Facility Location

We study randomized strategyproof mechanisms for strategic obnoxious facility location on a line segment, where agents wish the facility to be located as far away from them as possible and their utility is their distance from the facility, under the social utility and minimum utility objectives. For social utility, we...

Hau Chan, Jia-Nan Lin, Chen-Hao Wang · 0 citations
Preprint Sep 2026

A Randomized $\frac32$-Approximation for Strategic Facility Location on a Circle

We study strategyproof mechanisms for locating a single facility on a circle so as to serve a set of strategic agents under the utilitarian social cost objective. We analyze a simple parity-dependent mechanism that randomizes between the Random Dictator (RD) mechanism and the Proportional Circle Distance (PCD) mechanis...

Hau Chan, Jia-Nan Lin, Chen-Hao Wang · 0 citations
Preprint Aug 2026

Randomized Strategyproof Facility Location: Two Facilities and Beyond

We design and analyze randomized strategyproof mechanisms for multi-facility location under the utilitarian social-cost objective, the sum of the agents'distances to their nearest facilities. For two facilities, the Pairwise-Distance mechanism locates facilities at a pair of reported locations sampled with probability...

Hau Chan, Jia-Nan Lin, Chen-Hao Wang · 4 citations
Preprint Sep 2026

A 3.1462-Competitive Algorithm for Matroid Secretary

The ordinal algorithm accepts every element of a fixed canonical optimum with probability exactly $1/C_*$ and uses O(n^2)$ independence queries and the resulting guarantee has a direct analytic proof.

Hau Chan, Jia-Nan Lin, Chen-Hao Wang · 4 citations · ⚡2
Preprint Sep 2026

Consistency-Robustness Tradeoffs for Strategyproof Scheduling with Predictions

We study strategyproof scheduling on \(n\) unrelated machines with predictions. Each machine is controlled by an agent with privately known processing times, while the mechanism receives a public prediction of the processing-time matrix before the agents report. The objective is to minimize the makespan subject to stra...

Hau Chan, Jia-Nan Lin, Chen-Hao Wang · 0 citations
Preprint Aug 2026

Improved Metric Distortion Bounds for Deterministic Weighted-Tournament Voting Rules

In metric social choice, voters and candidates lie in a common but unknown metric space, voters rank candidates by distance, and a voting rule seeks to minimize total distance to the voters. Its distortion is the worst-case approximation ratio relative to the minimum possible total distance. We study weighted-tournamen...

Hau Chan, Jia-Nan Lin, Chen-Hao Wang · 1 citation
Preprint Sep 2026

A 3.7321-Competitive Algorithm for Matroid Secretary

The matroid secretary problem asks an online algorithm to select a high-weight independent set from elements arriving in uniformly random order, with immediate and irrevocable decisions. Singla (2026) recently gave a $4$-competitive algorithm for arbitrary matroids using only the number of elements and independence que...

Hau Chan, Jia-Nan Lin, Chen-Hao Wang · 0 citations

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