A weighted method for sharing costs in highways.

Genjiu Xu https://orcid.org/0000-0002-1472-3950 Northwestern Polytechnical University, Xian, Shaanxi, China

Meng Li Wenzhong Li Genjiu Xu A weighted method for sharing costs in highways. 2026 107415 66 Oper. Res. Lett. https://doi.org/10.1016/j.orl.2026.107415 db/journals/orl/orl66.html#LiLX26 streams/journals/orl

Ziyi Chai Genjiu Xu Doudou Gong Wenzhong Li Axiomatizations of the constrained equal individual worth value. 2026 107470 68 Oper. Res. Lett. https://doi.org/10.1016/j.orl.2026.107470 db/journals/orl/orl68.html#ChaiXGL26 streams/journals/orl

Zekun Duan Genjiu Xu Zesheng Li Mengda Ji Heterogeneous Multiagent Task Allocation via Cooperative Exchange Strategies for Equilibrium-Improving: A Potential Game Framework. 2026 February 954-967 56 IEEE Trans. Cybern. 2 https://doi.org/10.1109/TCYB.2025.3624056 db/journals/tcyb/tcyb56.html#DuanXLJ26 streams/journals/tcyb

Yu Chen Genjiu Xu Sinan Feng Chaoqian Wang Post-Disaster Resource Redistribution and Cooperation Evolution Based on Two-Layer Network Evolutionary Games. 2026 January abs/2601.22021 CoRR https://doi.org/10.48550/arXiv.2601.22021 db/journals/corr/corr2601.html#abs-2601-22021 streams/journals/corr

Sinan Feng Genjiu Xu Yu Chen Chaoqian Wang Attila Szolnoki Punishment in bipartite societies. 2026 February abs/2602.07553 CoRR https://doi.org/10.48550/arXiv.2602.07553 db/journals/corr/corr2602.html#abs-2602-07553 streams/journals/corr

Li Zhang Genjiu Xu Hao Sun 0011 Wenzhong Li Sharing the losses of a hierarchical venture. 308-315 2025 375 Discret. Appl. Math. https://doi.org/10.1016/j.dam.2025.06.015 db/journals/dam/dam375.html#ZhangX0L25

Zekun Duan Genjiu Xu Mengda Ji Zesheng Li Binbin Meng A two-level coalition formation game for competitive swarms. 127271 2025 279 Expert Syst. Appl. https://doi.org/10.1016/j.eswa.2025.127271 db/journals/eswa/eswa279.html#DuanXJLM25 streams/journals/eswa

Li Zhang Genjiu Xu Hao Sun 0011 Wenzhong Li Axioms on Cohesive Players and Axiomatizations of the Positively Weighted Shapley Values. 2502-2519 2025 December 38 J. Syst. Sci. Complex. 6 https://doi.org/10.1007/s11424-025-3457-4 db/journals/jossac/jossac38.html#ZhangXSL25 streams/journals/jossac

Hang Chen Genjiu Xu Li Zhang Proportional-with-Leader-Bonus rules for group-buying with invitation behavior. 107285 2025 61 Oper. Res. Lett. https://doi.org/10.1016/j.orl.2025.107285 db/journals/orl/orl61.html#ChenXZ25 streams/journals/orl

Mengda Ji Genjiu Xu Liying Wang CORA: Coalitional Rational Advantage Decomposition for Multi-Agent Policy Gradients. 2025 June abs/2506.04265 CoRR https://doi.org/10.48550/arXiv.2506.04265 db/journals/corr/corr2506.html#abs-2506-04265 streams/journals/corr

Dongshuang Hou Weibin Han Genjiu Xu Yifan Feng A generalization of the CIS value for cooperative cost games. 17-30 2024 March 22 4OR 1 https://doi.org/10.1007/s10288-023-00538-4 db/journals/4or/4or22.html#HouHXF24

Li Zhang Genjiu Xu Hao Sun 0011 Wenzhong Li Cohesive players: characterizations of a subclass of efficient, symmetric, and linear values. 765-779 2024 January 332 Ann. Oper. Res. 1 https://doi.org/10.1007/s10479-023-05558-1 db/journals/anor/anor332.html#ZhangXSL24

Rong Zou Genjiu Xu Wenzhong Li Panfei Sun Values for cooperative games with a prior unions and a communication graph based on combined effects. 231-245 2024 348 Discret. Appl. Math. https://doi.org/10.1016/j.dam.2024.01.032 db/journals/dam/dam348.html#ZouXLS24

Wenzhong Li Genjiu Xu Panfei Sun Relaxations of sign symmetry and the weighted solidarity values. 107147 2024 57 Oper. Res. Lett. https://doi.org/10.1016/j.orl.2024.107147 db/journals/orl/orl57.html#LiXS24 streams/journals/orl

Mengda Ji Genjiu Xu Jianjun Ge Mingqiang Li Efficient Core-Selecting Incentive Mechanism for Data Sharing in Federated Learning. 5775-5788 2024 October 11 IEEE Trans. Comput. Soc. Syst. 5 https://doi.org/10.1109/TCSS.2024.3381041 db/journals/tcss/tcss11.html#JiXGL24 streams/journals/tcss

Rong Zou Genjiu Xu Dongshuang Hou Efficient extensions of the Myerson value based on endogenous claims from players. 287-300 2023 April 323 Ann. Oper. Res. 1 https://doi.org/10.1007/s10479-023-05221-9 db/journals/anor/anor323.html#ZouXH23

Wenzhong Li Genjiu Xu René van den Brink A Union Self-evaluation Approach to Associated Consistency for Cooperative Games. 863-880 2023 December 199 J. Optim. Theory Appl. 3 https://doi.org/10.1007/s10957-023-02322-0 db/journals/jota/jota199.html#LiXB23

Jing Ren Hao Sun 0011 Genjiu Xu Dongshuang Hou Convergence of output dynamics in duopoly co-opetition model with incomplete information. 209-225 2023 May 207 Math. Comput. Simul. https://doi.org/10.1016/j.matcom.2022.12.026 db/journals/mcs/mcs207.html#RenSXH23

Rong Zou Wenzhong Li Marc Uetz Genjiu Xu Two-step Shapley-solidarity value for cooperative games with coalition structure. 1-25 2023 March 45 OR Spectr. 1 https://doi.org/10.1007/s00291-022-00694-9 db/journals/ors/ors45.html#ZouLUX23

Wenzhong Li Genjiu Xu René van den Brink Two new classes of methods to share the cost of cleaning up a polluted river. 35-59 2023 July 61 Soc. Choice Welf. 1 https://doi.org/10.1007/s00355-022-01439-x db/journals/scw/scw61.html#LiXB23

Mengda Ji Genjiu Xu Jianjun Ge Mingqiang Li Efficient Core-selecting Incentive Mechanism for Data Sharing in Federated Learning. 2023 abs/2309.11722 CoRR https://doi.org/10.48550/arXiv.2309.11722 db/journals/corr/corr2309.html#abs-2309-11722

Wenna Wang René van den Brink Hao Sun 0011 Genjiu Xu Zhengxing Zou On α-constant-sum games. 279-291 2022 51 Int. J. Game Theory 2 https://doi.org/10.1007/s00182-021-00792-y db/journals/ijgt/ijgt51.html#WangBSXZ22

Wenzhong Li Genjiu Xu Rong Zou Dongshuang Hou The allocation of marginal surplus for cooperative games with transferable utility. 353-377 2022 51 Int. J. Game Theory 2 https://doi.org/10.1007/s00182-021-00795-9 db/journals/ijgt/ijgt51.html#LiXZH22

Wenzhong Li Genjiu Xu René van den Brink A note on sign symmetry for a subclass of efficient, symmetric, and linear values. 133-136 2022 50 Oper. Res. Lett. 2 https://doi.org/10.1016/j.orl.2022.01.006 db/journals/orl/orl50.html#LiXB22

Wenzhong Li Genjiu Xu Jun Su Inventory Games with Quantity Discount. 1538-1554 2021 34 J. Syst. Sci. Complex. 4 https://doi.org/10.1007/s11424-021-9235-z db/journals/jossac/jossac34.html#LiXS21

Wenzhong Li Genjiu Xu A dynamic transfer scheme deriving from the dual similar associated game. 278-282 2021 49 Oper. Res. Lett. 2 https://doi.org/10.1016/j.orl.2021.01.018 db/journals/orl/orl49.html#LiX21

Jing Ren Hao Sun 0011 Genjiu Xu Dongshuang Hou Prediction on the competitive outcome of an enterprise under the adjustment mechanism. 2020 372 Appl. Math. Comput. https://doi.org/10.1016/j.amc.2019.124969 https://www.wikidata.org/entity/Q126444972 db/journals/amc/amc372.html#RenSXH20

Guangjing Yang Hao Sun 0011 Dongshuang Hou Genjiu Xu A noncooperative bargaining game with endogenous protocol and partial breakdown. 34-40 2020 105 Math. Soc. Sci. https://doi.org/10.1016/j.mathsocsci.2020.04.003 db/journals/mss/mss105.html#YangSHX20

Rong Zou Genjiu Xu Wenzhong Li Xunfeng Hu 0001 A coalitional compromised solution for cooperative games. 735-758 2020 55 Soc. Choice Welf. 4 https://doi.org/10.1007/s00355-020-01262-2 db/journals/scw/scw55.html#ZouXLH20

Guangjing Yang Hao Sun 0011 Dongshuang Hou Genjiu Xu Games in sequencing situations with externalities. 699-708 2019 278 Eur. J. Oper. Res. 2 https://doi.org/10.1016/j.ejor.2019.04.046 db/journals/eor/eor278.html#YangSHX19

Xia Zhang Hao Sun 0011 Genjiu Xu Dongshuang Hou On the core, nucleolus and bargaining sets of cooperative games with fuzzy payoffs. 6129-6142 2019 36 J. Intell. Fuzzy Syst. 6 https://doi.org/10.3233/JIFS-181982 https://www.wikidata.org/entity/Q127865969 db/journals/jifs/jifs36.html#ZhangSXH19

Wenna Wang Hao Sun 0011 René van den Brink Genjiu Xu The Family of Ideal Values for Cooperative Games. 1065-1086 2019 180 J. Optim. Theory Appl. 3 https://doi.org/10.1007/s10957-018-1259-8 db/journals/jota/jota180.html#WangSBX19

Xun-Feng Hu 0001 Genjiu Xu Deng-Feng Li 0001 The Egalitarian Efficient Extension of the Aumann-Drèze Value. 1033-1052 2019 181 J. Optim. Theory Appl. 3 https://doi.org/10.1007/s10957-018-1440-0 db/journals/jota/jota181.html#HuXL19

Qianqian Kong Hao Sun 0011 Genjiu Xu Dongshuang Hou Associated Games to Optimize the Core of a Transferable Utility Game. 816-836 2019 182 J. Optim. Theory Appl. 2 https://doi.org/10.1007/s10957-019-01494-y https://www.wikidata.org/entity/Q128301713 db/journals/jota/jota182.html#KongSXH19

Qianqian Kong Hao Sun 0011 Genjiu Xu Dongshuang Hou The general prenucleolus of n-person cooperative fuzzy games. 23-41 2018 349 Fuzzy Sets Syst. https://doi.org/10.1016/j.fss.2017.08.005 db/journals/fss/fss349.html#KongSXH18

Dongshuang Hou Panfei Sun Genjiu Xu Theo Driessen Compromise for the complaint: an optimization approach to the ENSC value and the CIS value. 571-579 2018 69 J. Oper. Res. Soc. 4 https://doi.org/10.1057/s41274-017-0251-2 db/journals/jors/jors69.html#HouSXD18

Dongshuang Hou Genjiu Xu Panfei Sun Theo Driessen The Shapley value for the probability game. 457-461 2018 46 Oper. Res. Lett. 4 https://doi.org/10.1016/j.orl.2018.06.004 db/journals/orl/orl46.html#HouXSD18

Haobin Shi Xuesi Li Kao-Shing Hwang Wei Pan 0007 Genjiu Xu Decoupled Visual Servoing With Fuzzy Q-Learning. 241-252 2018 14 IEEE Trans. Ind. Informatics 1 https://doi.org/10.1109/TII.2016.2617464 https://www.wikidata.org/entity/Q58925009 db/journals/tii/tii14.html#ShiLHPX18

Leon A. Petrosyan Artem A. Sedakov Hao Sun 0011 Genjiu Xu Convergence of strong time-consistent payment schemes in dynamic games. 96-112 2017 315 Appl. Math. Comput. https://doi.org/10.1016/j.amc.2017.07.030 db/journals/amc/amc315.html#PetrosyanSSX17

Genjiu Xu Xianghui Li Hao Sun 0011 Jun Su The Myerson value for cooperative games on communication structure with fuzzy coalition. 27-39 2017 33 J. Intell. Fuzzy Syst. 1 https://doi.org/10.3233/JIFS-16080 db/journals/jifs/jifs33.html#XuLSS17

Wenna Wang Hao Sun 0011 Genjiu Xu Dongshuang Hou Procedural interpretation and associated consistency for the egalitarian Shapley values. 164-169 2017 45 Oper. Res. Lett. 2 https://doi.org/10.1016/j.orl.2017.01.012 db/journals/orl/orl45.html#WangSXH17

Leon A. Petrosyan Artem A. Sedakov Hao Sun 0011 Genjiu Xu Time consistency of the interval Shapley-like value in dynamic games. 1965-1972 2016 30 J. Intell. Fuzzy Syst. 4 https://doi.org/10.3233/IFS-151909 db/journals/jifs/jifs30.html#PetrosyanSSX16

Genjiu Xu Han Dai Dongshuang Hou Hao Sun 0011 A-potential function and a non-cooperative foundation for the Solidarity value. 86-91 2016 44 Oper. Res. Lett. 1 https://doi.org/10.1016/j.orl.2015.12.002 db/journals/orl/orl44.html#XuDHS16

Genjiu Xu Han Dai Haobin Shi Axiomatizations and a Noncooperative Interpretation of the α-CIS Value. 2015 32 Asia Pac. J. Oper. Res. 5 https://doi.org/10.1142/S0217595915500311 db/journals/apjor/apjor32.html#XuDS15 1550031:1-1550031:15

Haobin Shi Lincheng Xu Lin Zhang Wei Pan 0007 Genjiu Xu Research on self-adaptive decision-making mechanism for competition strategies in robot soccer. 485-494 2015 9 Frontiers Comput. Sci. 3 https://doi.org/10.1007/s11704-015-4210-7 db/journals/fcsc/fcsc9.html#ShiXZPX15

Genjiu Xu Theo S. H. Driessen Hao Sun 0011 Jun Su Consistency for the additive efficient normalization of semivalues. 566-571 2013 224 Eur. J. Oper. Res. 3 https://doi.org/10.1016/j.ejor.2012.08.018 db/journals/eor/eor224.html#XuDSS13

Weibin Han Hao Sun 0011 Genjiu Xu A new approach of cooperative interval games: The interval core and Shapley value revisited. 462-468 2012 40 Oper. Res. Lett. 6 https://doi.org/10.1016/j.orl.2012.08.002 db/journals/orl/orl40.html#HanSX12

Genjiu Xu Xueliang Li 0001 Shenggui Zhang The Binding Number of a Digraph. 221-227 2005 conf/cjcdgcgt/2005 CJCDGCGT https://doi.org/10.1007/978-3-540-70666-3_24 db/conf/cjcdgcgt/cjcdgcgt2005.html#XuLZ05 René van den Brink Ziyi Chai Hang Chen Yu Chen Han Dai Theo S. H. DriessenTheo Driessen Zekun Duan Sinan Feng Yifan Feng Jianjun Ge Doudou Gong Weibin Han Dongshuang Hou Xun-Feng Hu 0001Xunfeng Hu 0001 Kao-Shing Hwang Mengda Ji Qianqian Kong Deng-Feng Li 0001 Meng Li Mingqiang Li Wenzhong Li Xianghui Li Xueliang Li 0001 Xuesi Li Zesheng Li Binbin Meng Wei Pan 0007 Leon A. Petrosyan Jing Ren Artem A. Sedakov Haobin Shi Jun Su Hao Sun 0011 Panfei Sun Attila Szolnoki Marc Uetz Chaoqian Wang Liying Wang Wenna Wang Lincheng Xu Guangjing Yang Li Zhang Lin Zhang Shenggui Zhang Xia Zhang Rong Zou Zhengxing Zou