Abstract
Multi-agent System is a hot topic of Artificial Intelligence, and it is extensively used to complete some tasks among different agents. While voting is often used for this purpose because it aggregates individual preferences into a collective decision. However, the winner determination problem has seriously hindered the development of the voting theory, then we innovatively introduce the concept of “satisfaction degree” to solve the problem. In this paper, we propose a formula for agents to express satisfaction degree of candidates, which we call Social Satisfaction Degree (SSD). To find the winners from candidates, we then design Single-winner Determination Algorithm (SWDA) and Multi-winner Determination Algorithm (MWDA) for single-winner and multi-winner based on SSD, respectively. The empirical results from the PrefLib data set show that our new algorithms can produce the winner set with optimal SSD more accurately than other voting rules.
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Acknowledgments
Project supported by the National Nature Science Foundation of China (Grant No. 61170201, No. 61070133, No. 61472344); Six-talent peaks project in Jiangsu Province (Grant No. 2011-DZXX-032). Innovation Foundation for graduate students of Jiangsu Province (Grant No. CXLX12 0916), Jiangsu Science and Technology Project No. BY2015061-06BY2015061-08, Yangzhou Science and Technology Project No. SXT20140048, SXT20150014, SXT201510013, Natural Science Foundation of the Jiangsu Higher Education Institutions (Grant No. 14KJB520041), Innovation Program for graduate students of Jiangsu Province (Grant No. SJZZ16_0261).
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Teng, L., Zhu, J., Li, B. et al. A Voting Aggregation Algorithm for Optimal Social Satisfaction. Mobile Netw Appl 23, 344–351 (2018). https://doi.org/10.1007/s11036-017-0934-6
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DOI: https://doi.org/10.1007/s11036-017-0934-6