Budget-feasible Maximum Nash Social Welfare is Almost Envy-free

Authors: Xiaowei Wu, Bo Li, Jiarui Gan

IJCAI 2021 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Theoretical We show that a budget-feasible allocation that maximizes the NSW achieves a 1/4-approximation of EF1 and the approximation ratio is tight. The approximation ratio improves gracefully when the items have small costs compared with the agents budgets; it converges to 1/2 when the budget-cost ratio approaches infinity.
Researcher Affiliation Academia Xiaowei Wu1 , Bo Li2 , Jiarui Gan3 1IOTSC, University of Macau 2Department of Computing, The Hong Kong Polytechnic University 3Max Planck Institute for Software Systems
Pseudocode No The paper is theoretical and contains proofs and mathematical analysis, but no pseudocode or algorithm blocks are provided.
Open Source Code No The paper does not provide any statement or link regarding the availability of open-source code for the described methodology.
Open Datasets No The paper is theoretical and does not involve empirical experiments with datasets.
Dataset Splits No The paper is theoretical and does not describe any dataset splits for validation or other purposes.
Hardware Specification No The paper is theoretical and does not discuss any hardware used for experiments.
Software Dependencies No The paper is theoretical and does not mention any specific software dependencies or versions.
Experiment Setup No The paper is theoretical and does not describe an experimental setup with hyperparameters or training configurations.