4 papers
Optimal Allocations under Strongly Pigou-Dalton Criteria: Hidden Layer Structure & Efficient Combinatorial Approach
Taikun Zhu, Kai Jin, Ruixi Luo +1
We investigate optimal social welfare allocations of items to agents with binary additive or submodular valuations. For binary additive valuations, we prove that the set of…
Sum-of-Max Chain Partition of a Tree
Ruixi Luo, Taikun Zhu, Kai Jin
Path partition problems on trees have found various applications. In this paper, we present an time algorithm for solving the following variant of path partition prob…
Discrete Effort Distribution via Regret-enabled Greedy Algorithm
Song Cao, Taikun Zhu, Kai Jin
This paper addresses resource allocation problem with a separable objective function under a single linear constraint, formulated as maximizing subject to…
String Rearrangement Inequalities and a Total Order Between Primitive Words
Ruixi Luo, Taikun Zhu, Kai Jin
We study the following rearrangement problem: Given words, rearrange and concatenate them so that the obtained string is lexicographically smallest (or largest, respectively).…