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Author

Aviad Rubinstein

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Preprint Oct 2026

Tarski Fixed Points in Quasi-FPT Queries

We study the query complexity of finding a Tarski fixed point over $[n]^k$. Previous work has left a large gap between $\smash{{\Omega}(\log^2 n)}$ and $\smash{\log^{O(k)}n}$. We show that both of the previous upper and lower bounds were far from tight: for every $k\geq 3$, \[ \Omega\left((\log n)^{\frac{1}{2}\lceil \l...

Xi Chen, Rui-Quan Gao, Yu-Hao Li et al. · 0 citations
Preprint Sep 2026

Approximately Efficient Multidimensional Bilateral Trade

A central challenge in mechanism design is to develop truthful trade mechanisms that maximize the expected gains-from-trade (GFT) in two-sided markets. Because achieving the full GFT is generally impossible, the literature has focused on constant-factor approximations---a notoriously difficult problem even in simple se...

Aviad Rubinstein, Xi-Zhi Tan, Zi-Xin Zhou · 5 citations

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