Manuscript Topics

About the Journal: Mathematical Modelling and Control answers the research needs of scholars of mathematical modelling and mathematical control theory. It aims to provide an effective medium for research mathematicians and a way to quickly publish high-quality original papers, so as to convey the latest important progress in their professional field to colleagues and scientists in related disciplines. The journal publishes expository articles from related fields such as applied mathematics, computational mathematics, probability and stochastic analysis, differential equations, dynamical systems, algebra, operational research and cybernetics. Each submitted article is processed carefully, fairly, promptly, and the accepted papers appear in the journal in the shortest time.

CFP for SI: With the rapid advancement of the mathematical foundations of game theory, optimization and learning algorithms, multiple fields such as energy and finance are undergoing profound transformations based on the reconstruction of mathematical models. Among these developments, the integration between the game theory and the learning mechanisms has laid the foundation for the modeling and analysis of next-generation power grid dispatch optimization and multi-agent resource allocation systems. In complex and volatile power grid operating environments and cross-domain data interaction scenarios, the design and analysis of optimization and learning mechanisms that meet strict mathematical theoretical guarantees and exhibit favorable privacy protection performance have become key factors in ensuring system operational stability, resource allocation efficiency, and the interests of multiple agents.

Against this backdrop, researchers are actively to break through theoretical bottlenecks in two aspects: first, enhancing the mathematical theoretical guarantees of game-theoretic learning algorithms, which requires analyzing the algorithm's convergence rate, robustness, and computational complexity; second, improving the comprehensiveness of privacy protection, which entails constructing a privacy protection mechanism covering the entire process of data collection, transmission, and processing. Among these efforts, the distributed dispatch optimization of power grids based on game theory and privacy protection for cross-domain data sharing are particularly critical. By constructing efficient game-theoretic learning algorithms and rigorous privacy protection protocols, the system can collectively achieve multiple objectives in a mathematical sense: including minimizing the cost of power grid operation, maximizing the integration efficiency of renewable energy, controlling the privacy loss of multi-agent data within a preset upper bound, and optimizing the resource allocation. Therefore, the integrated design, theoretical analysis, and cross-domain application of game-theoretic optimization and learning mechanisms continue to be core theoretical directions of concern in both academia and industry.

This Special Issue (SI) focuses on bridging theoretical innovations and practical implementations in game-theoretic learning mechanisms and privacy protection protocols. It aims to bring together researchers and industry practitioners to share and discuss the latest advances, innovative methodologies, and emerging research directions in this field. We warmly invite submissions of original research contributions covering novel methods, theories, and cases in areas such as the analysis of game-theoretic optimization and learning mechanisms, the design of privacy protection protocols, system collaborative optimization, and practical applications under complex power grid environments and multi-domain application scenarios. Potential topics of interest include, but are not limited to:

• Cutting-edge mathematical theory and analysis of game models
• Distributed game-theoretic learning algorithms for noncooperative games
• Privacy protection mechanisms for multi-agent systems in complex scenarios
• Demand response management and dynamical decision-making for smart grids
• Game-theoretical approaches for resource allocations of smart grids
• Control and optimization of agents’ strategies in noncooperative games
• Other emerging topics in game theory and its applications

Journal Website: https://aimspress.com/journal/mmc