Advances in Game Theory and Optimization with Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".

Deadline for manuscript submissions: 30 June 2025 | Viewed by 1442

Special Issue Editor


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Guest Editor
Institute for AI, Peking University, Beijing 100871, China
Interests: game theory; reinforcement learning; multi-agent systems

Special Issue Information

Dear Colleagues,

The primary objective of this Special Issue is to explore the frontiers of game theory and optimization research, encouraging cross-disciplinary collaboration and fostering innovation in both theory and practice. By promoting the exchange of ideas, methodologies, and experiences, this Special Issue aspires to contribute to the development of new tools and techniques that can address the challenges in various fields and support decision-making processes in complex systems.

To achieve the objective, we invite submissions covering a broad range of topics. Some areas of interest include:

  1. Mechanism design and incentive engineering: research on the design of mechanisms and incentive structures to align agents' behavior with the desired outcomes, including auctions, markets, and contract theory.
  2. Learning and adaptation in games: exploration of learning algorithms, reinforcement learning, and adaptive strategies in theoretical game settings, as well as their implications for the dynamics and convergence of the system.
  3. Robust and stochastic optimization: techniques for handling uncertainty, risk, and robustness in optimization problems, including robust optimization, stochastic programming, and chance-constrained optimization.
  4. Distributed optimization and decision making: methods for decentralized optimization and decision making in multi-agent systems, networks, and large-scale systems, including consensus algorithms, distributed optimization, and coordination mechanisms.
  5. Game theory and optimization in cybersecurity: applications of game-theoretic and optimization-based methods for addressing cybersecurity challenges, such as intrusion detection, risk assessment, and defense strategies.
  6. Algorithmic game theory and computational aspects: studies on the computational complexity of game-theoretic and optimization problems, as well as the development of efficient algorithms and computational methods to solve them.
  7. Social and ethical considerations: investigation of the social, ethical, and fairness aspects of game theory and optimization, including fairness in resource allocation, privacy concerns, and the impact on human behavior.
  8. Game theory and optimization in healthcare: applications of these methods in healthcare systems, such as patient scheduling, resource allocation, epidemic modeling, and healthcare policy design.

By expanding the scope to cover these areas, the Special Issue aims to create a comprehensive collection of high-quality research articles that demonstrate the power and potential of game theory and optimization to solve real-world challenges and contribute to the advancement of various fields.

Dr. Yaodong Yang
Guest Editor

Manuscript Submission Information

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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • game theory
  • cooperative games
  • multiplayer games
  • contract theory
  • decision making
  • complex systems
  • learning algorithms
  • adaptive strategies
  • robust optimization
  • stochastic optimization
  • distributed optimization
  • algorithmic game theory
  • applications in engineering, cybersecurity, healthcare, etc.

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Published Papers (1 paper)

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Research

20 pages, 5478 KiB  
Article
Research on the Model and Pattern of Community Opinion Dis-Semination Regarding Coal Mines
by Kai Yu, Zhaoxiang Mu and Jifeng Lu
Mathematics 2024, 12(24), 3914; https://doi.org/10.3390/math12243914 - 11 Dec 2024
Viewed by 817
Abstract
Residents of coal mining communities include both coal mine workers and local residents, making the guidance of public opinion essential for maintaining social stability in such communities. Therefore, this paper utilizes an improved word2Vec model to extract factors influencing public opinion from a [...] Read more.
Residents of coal mining communities include both coal mine workers and local residents, making the guidance of public opinion essential for maintaining social stability in such communities. Therefore, this paper utilizes an improved word2Vec model to extract factors influencing public opinion from a large number of accident cases. It then develops a coal mining community public opinion dissemination model based on game theory, focusing on two groups: official media and opinion leaders. By integrating cellular automata (CA) and agent-based modeling, this study examines the dissemination patterns of public opinion in coal mining communities. The simulation results and practical applications indicate that public opinion in coal mining communities spreads rapidly and can be effectively shaped. Positive guidance from official media plays a crucial role in directing public opinion. However, as interactions evolve, public opinion dynamics may become less favorable. Strengthening the intensity of positive guidance from official media further enhances its ability to shape and influence public opinion in coal mining communities. This research provides a novel perspective and methodology for studying community safety management, offering significant theoretical and practical implications. Full article
(This article belongs to the Special Issue Advances in Game Theory and Optimization with Applications)
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