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- research-articleDecember 2024
Reformulations for Projected Solutions of Generalized Games
Journal of Optimization Theory and Applications (JOPT), Volume 204, Issue 1https://doi.org/10.1007/s10957-024-02591-3AbstractWe show that projected solutions of a generalized game correspond to classical ones of an auxiliary generalized game obtained by doubling the number of players. Based on this reformulation and using known results for the existence of classical ...
- research-articleDecember 2024
A Nash equilibria decision tree for binary classification: A Nash equilibria decision tree...
AbstractDecision trees rank among the most popular and efficient classification methods. They are used to represent rules for recursively partitioning the data space into regions from which reliable predictions regarding classes can be made. These regions ...
- ArticleDecember 2024
Analysis of Computer Virus Propagation in Social Internet of Things
AbstractThe spread of computer viruses in the Social Internet of Things (SIoT) has become an increasingly serious problem, especially when facilitated through search engines (SEs). Most previous research has focused on network topology, while this paper ...
- research-articleJanuary 2025
Automatically designing counterfactual regret minimization algorithms for solving imperfect-information games
AbstractStrategic decision-making in imperfect-information games is an important problem in artificial intelligence. Counterfactual regret minimization (CFR), a family of iterative algorithms, has been the workhorse for solving these types of games since ...
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- research-articleDecember 2024
Strategic choice of selling format under different power structures: Strategic choice of selling format under different power structures
Soft Computing - A Fusion of Foundations, Methodologies and Applications (SOFC), Volume 28, Issue 23Pages 13279–13295https://doi.org/10.1007/s00500-024-10326-9AbstractThe power structure significantly alters the dynamic interaction between supply chain members, which poses a great challenge to competing suppliers in selecting the optimal selling format. This paper investigates two suppliers’ strategic choice of ...
- research-articleNovember 2024
Optimal portfolio with relative performance and CRRA risk preferences in a partially observable financial market
Applied Mathematics and Computation (APMC), Volume 481, Issue Chttps://doi.org/10.1016/j.amc.2024.128947AbstractWe study a class of optimal portfolio problems with relative performance and constant relative risk aversion (CRRA) risk preferences in a partially observable financial market. The price of a stock is described by a factor model and agents (...
Highlights- We build two novel models, the n-agent game model and the mean field game model, for competitive optimal portfolio problems with partial information.
- We clear up two kinds of optimization problems with partial information by virtue of ...
- research-articleJanuary 2025
Physical and internet medical system: Service quality and management mode analysis
Computers and Industrial Engineering (CINE), Volume 197, Issue Chttps://doi.org/10.1016/j.cie.2024.110539Highlights- It studies the quality changes in physical hospitals under internet hospital.
- The revenue of the medical system is analyzed.
- The influence of the average utility of patients is studied.
In an era of social progress and policy changes, some hospitals have diversified their services by incorporating internet hospitals. However, since the development of internet hospitals has been delayed and their management model remains ...
- research-articleNovember 2024
Optimal synchronization with L 2-gain performance: An adaptive dynamic programming approach
AbstractThis paper studies an optimal synchronous control protocol design for nonlinear multi-agent systems under partially known dynamics and uncertain external disturbance. Under some mild assumptions, Hamilton–Jacobi–Isaacs equation is derived by the ...
- research-articleNovember 2024
Distributed learning for online multi-cluster games over directed graphs
AbstractIn this paper, the distributed Nash equilibrium seeking problem of multi-cluster games with time-varying local cost functions and local strategy set constraints is considered. Agents are divided into different clusters, and each cluster can be ...
- research-articleOctober 2024
Pure-Circuit: Tight Inapproximability for PPAD
Journal of the ACM (JACM), Volume 71, Issue 5Article No.: 31, Pages 1–48https://doi.org/10.1145/3678166The current state-of-the-art methods for showing inapproximability in PPAD arise from the ɛ-Generalized-Circuit (ɛ-GCircuit) problem. Rubinstein (2018) showed that there exists a small unknown constant ɛ for which ɛ-GCircuit is PPAD-hard, and subsequent ...
- research-articleNovember 2024
A two-level game theoretic approach for task offloading in mobile edge computing
Engineering Applications of Artificial Intelligence (EAAI), Volume 136, Issue PAhttps://doi.org/10.1016/j.engappai.2024.108819AbstractIn the mobile edge computing system subject to wireless interference, the Edge Server Provider (ESP) aims to offer profitable computing resources to Device Managers (DMs), who make optimal strategies based on the provided prices. However, the ...
- research-articleNovember 2024
Modeling and study of defense outsourcing against advanced persistent threat through impulsive differential game approach
AbstractAdvanced persistent threat (APT) poses serious threat to organizations with rich digital assets. APT detection programs designed for quickly finding possibly hijacked hosts are now commercially available. This greatly reduces the workload of APT ...
- research-articleDecember 2024
Decentralized Cloud Platform Resource Dynamic Allocation Algorithm for Smart Contracts
ICCSIE '24: Proceedings of the 2024 9th International Conference on Cyber Security and Information EngineeringPages 700–706https://doi.org/10.1145/3689236.3691488In the realm of cloud computing, efficient resource allocation between operators and users is a critical challenge. To address this issue, this study introduces a novel smart contract-oriented decentralized cloud platform resource dynamic allocation ...
- research-articleSeptember 2024
Game Theoretic Defense Framework Against Sybil Attacks
AbstractSybil attacks are treacherous attacks on the reputation mechanism of a network. In our current work, we propose a game theory-based defense mechanism against such attacks. The proposed scheme is decentralized, distributed, and dynamic, unlike the ...
- research-articleAugust 2024
Analyzing the blockchain mining strategy in Industrial Internet of Things: A game theoretical approach
Future Generation Computer Systems (FGCS), Volume 159, Issue CPages 51–63https://doi.org/10.1016/j.future.2024.05.003AbstractDeploying Proof-of-Work (PoW) consensus based blockchain systems in Industrial Internet of Things (IIoT) scenarios that rely on wireless channels for data transmission faces new challenges. An IIoT device working in industrial production may ...
Highlights- For the wireless broadcasting environment in the IIoT scenario, a block propagation model in the wireless channel is constructed.
- Aiming at the wireless blockchain system based on PoW consensus, the formal analysis of mining and ...
- research-articleJuly 2024
Robust distributed Nash equilibrium seeking for high-order systems with disturbances and coupling constraints
Applied Mathematics and Computation (APMC), Volume 477, Issue Chttps://doi.org/10.1016/j.amc.2024.128804AbstractThe objective of this article is to tackle the problem of distributed searching for generalized Nash equilibrium (GNE) for high-order multi-agent systems (MASs) that are subject to external disturbances and coupling constraints. To address ...
Highlights- The article examines more complex higher-order dynamic systems.
- The article considers both external disturbances and coupling equation constraints.
- No need to know the specific model of the disturbance.
- research-articleJuly 2024
Stochastic adaptive linear quadratic nonzero-sum differential games
Applied Mathematics and Computation (APMC), Volume 477, Issue Chttps://doi.org/10.1016/j.amc.2024.128803AbstractThis paper focuses on solving stochastic linear quadratic nonzero-sum differential games with completely unknown system matrices and long-time average costs. Firstly, for the case that the system matrices are known, we design a model-based value ...
Highlights- A model-based robust VI algorithm is proposed to solve stochastic linear quadratic nonzero-sum games.
- A novel model-free VI algorithm is proposed for unknown stochastic linear quadratic nonzero-sum differential games.
- Feedback ...
- rapid-communicationJuly 2024
Tight inapproximability of Nash equilibria in public goods games
AbstractWe study public goods games, a type of game where every player has to decide whether or not to produce a good which is public, i.e., neighboring players can also benefit from it. Specifically, we consider a setting where the good is indivisible ...
Highlights- We consider public goods games with indivisible goods on directed graphs.
- We show that computing any non-trivial approximate mixed Nash equilibrium is PPAD-hard.
- This is shown by a direct reduction from the Pure-Circuit problem.
- research-articleJuly 2024
A comparative cost assessment of coalescing epidemic control strategies in heterogeneous social-contact networks
Computers and Operations Research (CORS), Volume 167, Issue Chttps://doi.org/10.1016/j.cor.2024.106680AbstractThe outcome of an epidemic is contingent upon the mitigating control strategies deployed by policymakers. The deployment of control strategies is constrained by the cost of economic, social, and technological factors, which often depend on ...
Highlights- Epidemic models on individual-based contact networks provide more realistic insight.
- Regional diverging control strategies cause inter-linked epidemic outcomes.
- Our method provides regional policymakers with a comparative tool for ...