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arXiv · 2203.17041

On the Population Monotonicity of Independent Set Games

Libing Wang·Han Xiao·Donglei Du·Dachuan Xu
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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.

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Libing Wang, Han Xiao, Donglei Du, Dachuan Xu. 2022-07-10. On the Population Monotonicity of Independent Set Games. https://doi.org/10.1016/j.orl.2022.06.009

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