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Efficient Iterative Linear-Quadratic Approximations for Nonlinear Multi-Player General-Sum Differential Games [PDF]
IEEE International Conference on Robotics and Automation, 2020 Many problems in robotics involve multiple decision making agents. To operate efficiently in such settings, a robot must reason about the impact of its decisions on the behavior of other agents.
David Fridovich-Keil +4 more
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Analytic solution of Riccati equations occurring in open-loop Nash multiplayer differential games [PDF]
International Journal of Mathematics and Mathematical Sciences, 1992 In this paper we present explicit analytic solutions of coupled Riccati matrix differential systems appearing in open-loop Nash games. Two different cases are considered. Firstly, by means of appropriate algebraic transformations the problem is decoupled
L. Jódar, E. Navarro
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Stochastic Adaptive Linear Quadratic Differential Games [PDF]
IEEE Transactions on Automatic Control, 2022 Game theory is playing more and more important roles in understanding complex systems and in investigating intelligent machines with various uncertainties.
Nian Liu, Lei Guo
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Zero-Sum Stackelberg Stochastic Linear-Quadratic Differential Games [PDF]
SIAM Journal of Control and Optimization, 2021 The paper is concerned with a zero-sum Stackelberg stochastic linear-quadratic (LQ, for short) differential game over finite horizons. Under a fairly weak condition, the Stackelberg equilibrium is explicitly obtained by first solving a forward stochastic
Jingrui Sun, Hanxiao Wang, Jiaqiang Wen
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Mathematics, 2021 The paper deals with a two-person zero-sum differential game for a dynamical system described by differential equations with the Caputo fractional derivatives of an order α∈(0,1) and a Bolza-type cost functional.
Mikhail I. Gomoyunov
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A differential game analysis of multi-regional coalition for transboundary pollution problems
Ecological Indicators, 2022 Basin water pollution control problem has become a real and serious challenge to build an environment-friendly and resource-conserving society. Since the water environment is quasi-public property, regional cooperation across upstream and downstream ...
Zuliang Lu +5 more
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Multiplayer reach-avoid differential games with simple motions: A review
Frontiers in Control Engineering, 2023 This paper reviews the recent works on multiplayer reach-avoid (M-RA) differential games between two adversarial teams in a game region which is split into a goal region and a play region. The pursuit team aims to protect the goal region from the evasion
Rui Yan +4 more
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Inverse reinforcement learning for identification of linear-quadratic zero-sum differential games
Systems & control letters (Print), 2023 In this paper, we address the inverse problem in the case of linear–quadratic zero-sum differential games. The problem is to evaluate an unknown cost function given the observed trajectories that are known to be generated by a stationary linear feedback ...
E. Martirosyan, Ming Cao
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Coordinating Carbon Emissions via Production Quantities: A Differential Game Approach
Games, 2021 Production emissions in the industrial sector are a major source of environmental pollution. In this paper, we explore how emission considerations are integrated with production decisions. We develop a dynamic model consisting of two firms located in the
Gila E. Fruchter, Hussein Naseraldin
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An Introduction to Pursuit-evasion Differential Games [PDF]
American Control Conference, 2020 Pursuit and evasion conflicts represent challenging problems with important applications in aerospace and robotics. In pursuit-evasion problems, synthesis of intelligent actions must consider the adversary’s potential strategies. Differential game theory
Isaac E. Weintraub +2 more
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