| 博士、教授、博士生导师。 办公室:伟德永久官网宝山校区东区1号楼伟德永久官网408室 Email: efshan@shu.edu.cn 研究方向:合作博弈与决策、共享经济与合作博弈、图论及其应用 |
个人简介
单而芳,伟德永久官网教授,博士生导师,上海市浦江人才。北京理工大学硕士、伟德永久官网运筹学与控制论专业博士,香港理工大学工商伟德永久官网博士后。曾先后在韩国国立昌原大学、韩国岭南大学、香港理工大学、澳大利亚墨尔本大学、香港科技大学和荷兰蒂尔堡大学做访问学者。
现主持国家自然科学基金面上项目1项,参与其他国家自然科学基金面上项目2项。已连续主持国家自然科学基金面上项目4项,并作为主要成员参加国家自然科学基金重点项目1项,其他国家自然科学基金5项。在J. Graph Theory、SIAM Discrte Math.、European J. Combin、Discrete Math等期刊上发表论文150余篇。近年来,开展了图上合作博弈与决策及相关经济管理问题的研究,相关研究成果发表在Int J Game Theory、Annals of Operations Research、Operations Research Letters、Mathematical Social Sciences、《系统工程理论与实践》和《中国管理科学》等知名期刊上。科研成果曾获上海市自然科学奖。
欢迎来自不同背景的同学报考研究生,有经济/数学/图论或计算机等理工背景的同学报考博士研究生。
教育背景:
博士,运筹学与控制论,伟德永久官网;
硕士,应用数学,北京理工大学;
学士,数学,河北师范大学。
工作经历:
2012.03 - 至今:伟德永久官网,教授;
2008.03-2012.03:伟德永久官网理学院,教授;
2001.03-2008.03:伟德永久官网理学院,副教授。
学术任职:
中国运筹学会图论与组合分会常务理事;
中国运筹学会博弈论分会常务理事;
中国工业与应用数学学会图论组合及应用专业委员会理事;
上海市运筹学会常务理事
美国数学会《Mathematical Reviews》特邀评论员;
欧洲数学会《Zentralblatt MATH》特邀评论员。
主讲课程:
本科:《运筹学》
博士:《博弈论》、《运筹学》、《建模、优化、评价理论与方法》
MBA:《数据、模型与决策》
代表性论文 (合作博弈与决策):
1. Erfang Shan, Marginality and a characterization of the Owen graph value. International Journal of Game Theory, https://doi.org/10.1007/s00182 -022- 00825-0.
2. Liying Kang, Anna Khmelnitskaya, Erfang Shan, Dolf Talman, Guang Zhang. The two-step average tree value for graph and hypergraph games. Annals of Operations Research, https://doi.org/10.1007/s10479-022-04966-z.
3. Erfang Shan, Zhiqiang Yu, Wenrong Lyu, Union-wise egalitarian solutions in cooperative games with a coalition structure. 4OR, https://doi.org/10.1007/ s10288-022-00529-x.
4. Erfang Shan, Jilei Shi, Wenrong Lyu. The efficient partition surplus Owen graph value. Annals of Operations Research, 2023, 320:379-392.
5. Daniel Li Li, Erfang Shan, Tree solutions and standardness for cycle-free graph games. Economics Letters , 2023, 222: 110955.
6. Daniel Li Li, Erfang Shan. Safety of links with respect to the Myerson value for communication situations. Operational Research, 2022, 22: 2121-2131.
7. Erfang Shan, Wenrong Lyu, Jilei Shi, Shanshan Nie, Consistency and the graph Banzhaf value for communication graph games. Operations Research Letters, 2022, 50: 190-194.
8. Jilei Shi, Lei Cai, Erfang Shan, Wenrong Lyu. A value for cooperative games with coalition and probabilistic graph structures. Journal of Combinatorial Optimization, 2022, 43:646-671.
9. Daniel Li Li, Erfang Shan. Egalitarian allocation and players of certain type. Operations Research Letters, 2021, 49:492-495.
10. Jilei Shi, Erfang Shan. The Banzhaf value for generalized probabilistic communication situations. Annals of Operations Research, 2021, 301: 225–244.
11. Daniel Li Li, Erfang Shan. Cooperative games with partial information. International Journal of Game Theory, 2021, 50: 297-309.
12. Liying Kang, Anna Khmelnitskaya, Erfang Shan, Dolf Talman, Guang Zhang. The average tree value for hypergraph games. Mathematical Methods of Operations Research, 2021, 94: 437-460.
13. Jilei Shi, Erfang Shan. Weighted component-wise solutions for graph games. Economics Letters, 2020, 192: 109-233.
14. Daniel Li Li, Erfang Shan. Efficient quotient extensions of the Myerson value. Annals of Operations Research, 2020, 292: 171–181.
15. Daniel Li Li, Erfang Shan. The Myerson value for directed graph games. Operations Research Letters, 2020, 48: 42-46.
16. Daniel Li Li, Erfang Shan. Marginal contributions and derivatives for set functions in cooperative games. Journal of Combinatorial Optimization, 2020, 39: 849–858.
17. Daniel Li Li, Erfang Shan, Marginal contributions and derivatives for set functions in cooperative games, Journal of Combinatorial Optimization, 2020, 39: 849–858.
18. Erfang Shan, Jilei Shi, Wenrong Lv, A Note on the Position Value for Hypergraph Communication Situations, in D.-Z. Du and J. Wang (Eds.): Ko Festschrift, Lecture Notes in Computer Science 12000, pp. 230-237, 2020.
19. Erfang Shan, Jiayu Han, Jilei Shi. The efficient proportional Myerson values. Operations Research Letters, 2019, 47: 574-578.
20. Daniel Li Li, Erfang Shan. The Myerson value on local structures of coalitions. Journal of the Operations Research Society of China, 2019, 7: 461-473.
21. Erfang Shan, Guang Zhang. The degree value for games with communication structure. International Journal of Game Theory, 2018, 47: 857-871.
22. Daniel Li Li, Erfang Shan, Cost sharing on prices for games on graphs, Journal of Combinatorial Optimization, 2017, 34:676–688.
23. Guang Zhang, Erfang Shan, Liying Kang, Yanxia Dong, Two efficient values of cooperative games with graph structure based on τ-values. Journal of Combinatorial Optimization, 2017, 34: 462-482.
24. Erfang Shan, Guang Zhang, Yanxia Dong, Component-wise proportional solutions for communication graph games. Mathematical Social Sciences, 2016, 81: 22-28.
25. 单而芳. 河流洪水风险控制的合作博弈分析. 中国管理科学. 10.16381/j.cnki. issn1003-207x.2021.0105
26. 单而芳, 史纪磊, 蔡蕾. 具有联盟和概率图结构合作对策的分配规则及其应用. 中国管理科学. 10.16381/j.cnki.issn1003-207x.2020.1348
27. 单而芳, 曾晗, 韩佳玉. 无圈超图对策上的有效平均树解. 系统工程理论与实践, 2021, 41(3): 781-789.
28. 单而芳, 史纪磊, 吕文蓉等. 具有图限制通信结构对策的有效 Owen 值. 中国科学: 数学, 2020, 50(9): 1219-1232.
29. 李理, 单而芳. 图上博弈的Page-Shapley值. 系统工程理论与实践, 2019, 39(11): 2771-2783.
30. 单而芳, 梁莉敏, 张广. 基于限制博弈的具有容量限制的易腐品联合运输费用分摊问题. 中国管理科学, 2018, 26(9): 97-105.