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Showing 1 to 17 of 17 for “"differential game"”.
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Numerical solution methods for differential game problems
Differential game theory provides a potential means for the parametric analysis of combat engagement scenarios. To determine its viability for this type of analysis, three frameworks for solving differential game problems are evaluated. Each method solves zero-sum, pursuit-evasion games in which …
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Using Multiplayer Differential Game Theory to Derive Efficient Pursuit-Evasion Strategies for Unmanned Aerial Vehicles
… adversarial scenario is modeled as a multiplayer differential game. However, due to the inherent computational complexity of multiplayer differential games, three less computationally demanding differential pursuit-evasion game-based algorithms are presented. The purpose of the algorithms is to …
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Optimal Strategy Imitation Learning from Differential Games
… manner similar to or better than human drivers. Differential game theory provides one approach to generate a control strategy by modeling two players with opposing goals. Environments faced by autonomous vehicles, such as merging onto a freeway, are complex, but they can be modeled and solved as …
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Differential Games of Mixed Strategies in a Variational Inference Framework: An Application to the Perimeter Defense Problem
This dissertation formulates a differential game of mixed strategies as an adversarial Variational Inference (VI) problem so that it can be solved through the lenses of inference. To achieve the aforementioned goal, the dissertation extends two existing tools for solving non-adversarial VI problems …
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Enabling tactical autonomy for unmanned surface vehicles in defensive swarm engagements
… described for analyzing the engagements based on game theory by constructing the defense scenario as a three-party differential game. MATLAB is then utilized to demonstrate optimal solutions to this scenario as an application of game theoretical guidance, which was developed for use in missile …
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Three Studies in International Macroeconomics
… the rate of monetary growth. Next, we simulate a differential game between the government and the private sector.
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Robust Control of Stochastic Nonlinear Systems
… problem into an unconstrained one (a stochastic differential game) and then making use of the duality relationship between stochastic games and risk-sensitive stochastic control, we obtain a minimax state-feedback control law that is both locally optimal and globally inverse optimal. Furthermore, …
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Pursuit-evasion games in mobile networks
… we model the intrusion as a pursuit-evasion game in continuous time and space. We model the intruder as an antagonistic agent and apply tools from differential game theory in order to obtain the optimal motion strategies for the agents to track the intruder as well as evade intrusion.
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Collocation With Nonlinear Programming for Two-Sided Flight Path Optimization
… to find the solution of a zerosum two-person differential game by incorporating the analytical optimality condition for one player into the system equations. The new method is named semi-direct collocation with nonlinear programming (semi-DCNLP). We apply the new method to a variety of …
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Game-Theoretic Approach with Cost Manipulation to Vehicular Collision Avoidance
Collision avoidance is treated as a game of two players with opposing desiderata. In the application to automated car-like vehicles, we will use a differential game in order to model and assess a worst-case analysis. The end result will be an almost analytic representation of a boundary between a …
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Learning to Coordinate Efficiently through Multiagent Soft Q-Learning in the presence of Game-Theoretic Pathologies
… of multiagent soft Q-learning in continuous games where learning is most likely to be affected by relative overgeneralisation. While this will occur more often in multiagent independent learner problems, it is present in joint-learner problems when information is not used efficiently in the …
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Real options and strategic interactions in imperfectly competitive markets
… we present a real options model in an investment game of incomplete information in a duopoly where product market competition influences the value of the investment and entry times are endogenously determined. We show that type-asymmetry or the level of initial demand, independently, or together, …
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A Multiplayer Target Defense Game Between Quadrotor Teams
… path. This gives rise to a target defense differential game. Because player velocities have a fundamental impact on the solution, the problem is divided into two branches, where the defenders travel faster and slower respectively. When the defenders travel faster, capture is guaranteed, …
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Game-theoretic methods for security and resilience in cyber-physical systems
… and resilience. This dissertation develops new game-theoretic frameworks for addressing security and resilience problems residing at multiple layers of the cyber-physical systems including robust and resilient control, secure network routing and management of information security and smart grid …
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Optimal pursuit/evasion spacecraft trajectories in the hill reference frame
The pursuit/evasion game for two spacecraft is significantly simplified by being described with a linearized system of equations of motion. A pursuit/evasion game is also known as a “minimax” problem, because the objective of the pursuer is to minimize the time to capture, while the evader's goal …
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COARSE CORRELATED EQUILIBRIA IN CONTINUOUS-TIME MEAN FIELD GAMES
Mean field games (MFGs), an active theme of research since the mid 2000's, arise as the limit formulation of symmetric N-player games with mean field interactions, and they act as a treatable approximation of such games, when the numbers of players is large enough. The usual notion of MFG solution …