On the Population Monotonicity of Independent Set Games
Computer Science and Game Theory
2022-07-12 v2 Discrete Mathematics
Abstract
An independent set game is a cooperative game defined on graphs and dealing with profit-sharing in maximum independent set problems. A population monotonic allocation scheme is a rule specifying how to share the profit of each coalition among its participants such that every participant is better off when the coalition expands. In this paper, we provide a necessary and sufficient characterization for population monotonic allocation schemes in independent set games. Moreover, our characterization can be verified efficiently.
Keywords
Cite
@article{arxiv.2203.17041,
title = {On the Population Monotonicity of Independent Set Games},
author = {Libing Wang and Han Xiao and Donglei Du and Dachuan Xu},
journal= {arXiv preprint arXiv:2203.17041},
year = {2022}
}