Limited Information Shared Control: A Potential Game Approach

Varga, Balint; Inga, Jairo; Hohmann, Soeren

doi:10.1109/thms.2022.3216789

Cited by 13 publications

(3 citation statements)

References 43 publications

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“…In future work, we plan to employ the proposed algorithms for designing cooperative learning controllers, see e.g. [30]. Additionally, we aim to validate the effectiveness of the proposed identification methods through measurements obtained from human-machine interactions.…”

Section: Discussionmentioning

confidence: 99%

Identification Methods for Ordinal Potential Differential Games

Varga,

Huang,

Hohmann

2024

Preprint

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This paper introduces two new identification methods for the class of linear quadratic (LQ) ordinal potential differential games (OPDGs). Potential games are notable for their benefits, including the computability and guaranteed existence of Nash Equilibria. Previous literature has explored the analysis of static ordinal potential games, yet their applicability to various engineering applications remains limited. Despite the previous introduction of the core idea of OPDGs, a systematic method for identifying a potential game for a given LQ differential game has not been developed yet. To address this research gap, this paper proposes two identification methods that provide the quadratic potential cost function for the given LQ differential game. Both identification methods are based on linear matrix inequalities. The first identification method aims to minimize the condition number of the potential cost function's parameters, providing a faster and more precise technique compared to earlier solutions. In addition, an evaluation regarding the feasibility of system structure requirements is presented. With a less rigid formulation, the second identification technique can successfully identify LQ OPDGs in instances where the first method fails. These two novel identification methods are verified through simulations. The results demonstrate their advantages and potential in designing and analyzing cooperative control systems.

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Section: Discussionmentioning

confidence: 99%

Identification Methods for Ordinal Potential Differential Games

Varga,

Huang,

Hohmann

2024

Preprint

Self Cite

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“…Singh et al designed the learning algorithm for the incomplete information game (LAIIG), which effectively updates participants' information machines [16]. Varga B et al designed near-potential differential games (NPDG) and applied them to large-scale vehicle control systems, verifying the effectiveness of the algorithm [17].…”

Section: Introductionmentioning

confidence: 99%

A Study on Enhancing the Information Security of Urban Traffic Control Systems Using Evolutionary Game Theory

Pan,

Wang,

Zhang

2023

Electronics

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In recent years, there has been significant development in intelligent technologies for urban traffic control, such as smart city and vehicle-to-everything (V2X) communication. These advancements aim to provide more efficient and convenient services to participants in urban transportation. As the urban traffic control (UTC) system integrates with various networks and physical infrastructure, the potential threats of malicious attacks and breaches pose significant risks to the safety of individuals and their properties. To address this issue, this academic paper focuses on studying the network structure of the UTC system. A signal security game model is constructed based on the concepts of evolutionary game theory (EGT), involving three parties: attackers, upper computers (UC), and traffic signal machines (TSM). The model aims to analyze the evolutionary stability of the strategies chosen by each party, and to explore the relationships between various factors and the strategy choices of the three parties. Furthermore, the stability of equilibrium points in the three-party game system is analyzed using the Liapunov method. The conditions in which UC and TSM, dependent on detection rates and defense costs, choose to abandon defense at pure-strategy equilibrium points were obtained. Finally, MATLAB is utilized for simulation analysis to validate the impact of attack costs, defense costs, and detection rates on the information security of UTC systems.

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“…It has found interesting and important applications in various areas, improving strategies and decision-making processes. In games studied in the works [1][2][3], the tasks of rehabilitation and collaborative manufacturing complementing human and robot capabilities were widely highlighted.…”

Section: Introductionmentioning

confidence: 99%

On the Lifeline Game of the Inertial Players with Integral and Geometric Constraints

Samatov,

Ibragimov,

Juraev

et al. 2023

Mathematics

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In this paper, we consider a pursuit–evasion game of inertial players, where the pursuer’s control is subject to integral constraint and the evader’s control is subject to geometric constraint. In the pursuit problem, the main tool is the strategy of parallel pursuit. Sufficient conditions are obtained for the solvability of pursuit–evasion problems. Additionally, the main lemma describing the monotonicity of an attainability domain of the evader is proved, and an explicit analytical formula for this domain is given. One of the main results of the paper is the solution of the Isaacs lifeline game for a special case.

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Limited Information Shared Control: A Potential Game Approach

Cited by 13 publications

References 43 publications

Identification Methods for Ordinal Potential Differential Games

Identification Methods for Ordinal Potential Differential Games

A Study on Enhancing the Information Security of Urban Traffic Control Systems Using Evolutionary Game Theory

On the Lifeline Game of the Inertial Players with Integral and Geometric Constraints

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