Article
Computer Science, Theory & Methods
H. Galindo, J. M. Gallardo, A. Jimenez-Losada
Summary: The paper discusses games with fuzzy characteristic function and the issue of vagueness in allocating profits to players in cooperation. By using a ranking method for fuzzy numbers, a real Shapley value for games of this type is introduced.
FUZZY SETS AND SYSTEMS
(2021)
Article
Mathematics, Applied
Panfei Sun, Dongshuang Hou, Hao Sun
Summary: This paper defines cooperative games with restricted worths based on coalition structure, investigates the Shapley value under this model, and proposes two new axioms to characterize it. The model describes many cooperative situations in modern society.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2021)
Article
Thermodynamics
Yafei Wang, Weijun Gao, Fanyue Qian, You Li
Summary: The study analyzed the potential advantages of introducing VPPs comprised of DERs in urban areas, explored the energy-saving potential and economic performance of VPPs, applied game theory to investigate cooperation potential, and provided policy guidance for the Japanese government to promote VPPs.
ENERGY CONVERSION AND MANAGEMENT
(2021)
Article
Energy & Fuels
Vijay Pal Singh, Aijaz Ahmad, Kushal Manoharrao Jagtap
Summary: This paper proposes a new method that assigns distribution system losses to consumers and distributed generations in a liberalized energy market. The method combines electrical network analytical theory and cooperative game theory. By using the weighted shapely value, the method estimates the average marginal contribution of each participant to the coalitions and determines the weight based on the participant's power rating. Unlike the conventional pro-rata method and the Shapley value solution concept, this node-oriented methodology presents a fair allocation of losses.
FRONTIERS IN ENERGY RESEARCH
(2023)
Article
Green & Sustainable Science & Technology
Shuai Li, Shaojian Qu
Summary: This study constructs a cooperative game model and examines the pricing strategies of supply chain finance members using blockchain technology. The study also makes a reasonable allocation of total supply chain revenue using the Shapley value of the cooperative game. The findings suggest that the adoption of blockchain can effectively increase the benefits to supply chain members and systems.
Article
Green & Sustainable Science & Technology
Chenglin Wang, Zhicheng Zhou, Xiaohui Yu, Jintao Chen, Pengnan Li, Ziqi Wang
Summary: Most domestic wholesale markets lack organization and scale, making it crucial to establish a shared business platform and implement common distribution to enhance overall efficiency and resource utilization. The paper proposes a multi-weight interval Shapley value method benefit distribution model that reflects the impact of key parameters. Empirical analysis of Beijing's wholesale markets shows that the revised benefit distribution meets multiple parties' interests and is positively correlated with their contribution, effectively fostering cooperation. This model enriches research in common distribution and provides valuable reference for benefit distribution considering dynamic parameter changes.
Article
Management
Peter Csoka, Ferenc Illes, Tamas Solymosi
Summary: This study uses cooperative game theory and the Shapley value to address liability problems in which insolvent firms negotiate with creditors. The findings reveal that creditors benefit from increases in their claims and the asset value, while the impact on the firm depends on the configuration of liabilities. Additionally, creditors with larger claims benefit more from increases in the asset value.
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
(2022)
Review
Management
Chunlin Luo, Xiaoyang Zhou, Benjamin Lev
Summary: This paper provides a survey on the core concepts and solution approaches in cooperative game theory and their applications in operations management. The basic concepts and recent theoretical developments are introduced, and the applications in operations management in the past decade are reviewed. The future research directions in operations management with applications of cooperative game theory are also discussed.
OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE
(2022)
Article
Economics
Shukai Chen, Hua Wang, Qiang Meng
Summary: This study investigates the cost allocation of cooperative autonomous truck (AT) platooning among carriers. The goal is to find a cost allocation such that the violation of efficiency and stability conditions is minimized. A cooperative AT platooning problem is proposed, and cost allocation models are formulated. An exact row-generation solution method is developed to computationally calculate the cost allocation, and extensive numerical experiments demonstrate the effectiveness of the solution methods.
TRANSPORTATION RESEARCH PART B-METHODOLOGICAL
(2023)
Article
Management
Fan-Yong Meng, Zai-Wu Gong, Witold Pedrycz, Jun-Fei Chu
Summary: In group decision making, when individual decision information is discrepant, an adjustment mechanism is activated. This paper addresses the selfishness of decision makers (DMs) and proposes a fair and reasonable consensus adjustment mechanism to counteract their selfish behavior and promote consensus-reaching. A model is built to identify the minimum consensus adjustment of each DM, and the concept of selfish-dilemma consensus adjustment cooperative games is introduced. Payoff indices, namely the Shapley value and the nucleolus, are used for the minimum total consensus adjustment allocation to ensure fairness and reasonableness. A numerical example is provided, and a comparative analysis is conducted, demonstrating the effectiveness of this approach in achieving Pareto-optimal consensus adjustment allocation.
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
(2023)
Article
Computer Science, Artificial Intelligence
Jie Yang, Zhikun Cai, Qingxia Fu, Zeshui Xu
Summary: The paper aims to construct an effective Shapley function in a hesitant fuzzy linguistic environment to analyze the formation and distribution of profits. It proposes a new method to construct entropy for hesitant fuzzy linguistic term sets and defines a function for calculating confidence level. The effectiveness of the proposed Shapley value function is proved through the definition of hesitant fuzzy linguistic biform game and its characteristic function, and an example of profit allocation in watershed management considering information asymmetry demonstrates the feasibility of this approach.
EXPERT SYSTEMS WITH APPLICATIONS
(2023)
Article
Engineering, Electrical & Electronic
Wei Lu, Wenbo Xu, Ziqi Sheng
Summary: An interpretable image tampering detection approach is proposed in this paper, which includes a suspicious tampered region detection (STRD) module and a cooperative game module. The proposed approach combines shallow and deep-level features to discriminate different tampering types in complex scenes, and performs well in detecting small tampered regions. The final detection result is obtained by combining the pixels that contribute greatly to the payoff with the suspicious box.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS FOR VIDEO TECHNOLOGY
(2023)
Article
Energy & Fuels
Mukesh Gautam, Narayan Bhusal, Jitendra Thapa, Mohammed Benidris
Summary: A cooperative game theory-based approach is proposed in this paper to distribute slack active power among different participating generators, resulting in reduced generation costs and power losses.
SUSTAINABLE ENERGY GRIDS & NETWORKS
(2022)
Article
Energy & Fuels
Sho Cremers, Valentin Robu, Peter Zhang, Merlinda Andoni, Sonam Norbu, David Flynn
Summary: With the emergence of energy communities, the fair allocation of benefits becomes increasingly important. This paper reviews the use of Shapley value in energy-related applications and the efforts to compute or approximate it. A new method, called the stratified expected value approximation, is proposed for approximating the Shapley value in community energy settings. The performance of this method is compared with other existing methods, and the results show that it is comparable to the state-of-the-art method with a significantly lower computation cost for large communities.
Article
Mathematics
Anna Tur, Leon Petrosyan
Summary: This study explores a class of cooperative differential games on networks, investigating cooperative optimality principles, the construction of characteristic functions, and the explicit calculation of Shapley values. The results are illustrated using an example of a marketing game.
