On the population monotonicity of independent set games |
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| Institution: | 1. School of Mathematical Sciences, Ocean University of China, Qingdao, China;2. Faculty of Management, University of New Brunswick, Fredericton, New Brunswick, E3B 5A3, Canada;3. Department of Operations Research and Information Engineering, Beijing University of Technology, Beijing, China |
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| Abstract: | An independent set game is a cooperative game dealing with profit sharing in the maximum independent set problem. 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 independent set games admitting population monotonic allocation schemes. Moreover, our characterization can be verified efficiently. |
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| Keywords: | Cooperative game Population monotonic allocation scheme Independent set |
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