Computer Science > Computer Science and Game Theory
[Submitted on 29 Nov 2020 (v1), last revised 7 Jun 2021 (this version, v3)]
Title:On the Nisan-Ronen conjecture
View PDFAbstract:The Nisan-Ronen conjecture states that no truthful mechanism for makespan-minimization when allocating $m$ tasks to $n$ unrelated machines can have approximation ratio less than $n$. Over more than two decades since its formulation, little progress has been made in resolving it and the best known lower bound is still a small constant. This work makes progress towards validating the conjecture by showing a lower bound of $1+\sqrt{n-1}$.
Submission history
From: Elias Koutsoupias [view email][v1] Sun, 29 Nov 2020 19:58:25 UTC (29 KB)
[v2] Mon, 4 Jan 2021 15:11:16 UTC (32 KB)
[v3] Mon, 7 Jun 2021 15:08:57 UTC (34 KB)
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