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Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 22 for “"differential games"”.
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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 and applications to counter-terrorism
The application of dynamic games to the study of terrorism has the potential to provide insight for policymakers on the behavior of terrorists and inform them how best response to terror threats. We studied several applications of differential games to counter-terrorism and analyzed the usefulness …
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On Multi-Agent Reinforcement Learning in Matrix, Stochastic and Differential Games
… can be applied to two different types of games. The first type of games are matrix and stochastic games, where the states and actions are represented in discrete domains. In this type of games, we propose two multi-agent reinforcement learning algorithms to solve the problem of learning …
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Two Approaches to Non-Zero-Sum Stochastic Differential Games of Control and Stopping
… approaches - martingale and backward stochastic differential equation (BSDE) - to solve non-zero-sum stochastic differential games in which all players can control and stop the reward streams of the games. Existence of equilibrium stopping rules is proved under some assumptions. The martingale …
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A model predictive control approach to a class of multiplayer minmax differential games
… we consider a class of two-team adversarial differential games in which there are multiple mobile dynamic agents on each team. We describe such games in terms of semi-infinite minmax Model Predictive Control (MPC) problems, and present a numerical optimization technique for efficiently …
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Nonzero-Sum Differential Games With Biased Information Patterns and Different Intervals of Play
Made available in DSpace on 2014-12-10T19:06:51Z (GMT). No. of bitstreams: 1 7212119.pdf: 3019952 bytes, checksum: 83a2aeaa5a0ebec603888a2c1504f7a7 (MD5) Previous issue date: 1971
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Non-Concave Programming and Differential Games in Dynamic Resource Allocation Models (Nash Equilibrium, Economic Growth)
The thesis is comprised of two separate essays. The first, entitled "One-Sector Non-Classical Optimal Growth," considers a normative model of an aggregated economy where the objective of the central planner is the maximization of the (infinite-horizon) sum of discounted utilities subject to a …
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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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Dynamic multi-person optimization with weakly coupled agents
… information pattern, nonlinear deterministic differential games, LQG nonzero-sum games and Markov decision problems. In the case of LQG teams, we showed the existence of finite-dimensional linear controllers (FDLCs) which approximate the optimal cost to O($\epsilon$). Then, by restricting …
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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 choices: mean field games with controlled jumps and optimality in a stochastic volatility model
… work. In the first part a family of mean field games with a state variable evolving as a jump-diffusion process is studied. Under fairly general conditions, the existence of a solution in a relaxed version of these games is established and conditions under which the optimal strategies are in …
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A WENO finite difference scheme for a new class of Hamilton-Jacobi equations in electroelastostatics
… of physics, most notably, optimal control, differential games, geometric optics, and image processing. This thesis presents a new numerical method to solve a new class of Hamilton-Jacobi equation that has recently appeared in the context of nonlinear electroelastostatics. In a pioneering …
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H-Infinity Norm Calculation via a State Space Formulation
… approach one uses ideas similar to LQ theory and differential games. One of the key computational issues in the design of H-infty optimal controllers is the determination of the optimal H-infty norm. That is, determining the infimum of r for which the H-infty norm of the associated transfer …
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Pursuit-evasion games in mobile networks
… 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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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 …
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Game-Theoretic Approach with Cost Manipulation to Vehicular Collision Avoidance
… 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 "safe" set and a "unsafe" set. We will generalize the research in [27] to non-identical players …
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Optimal control problems, curves of pursuit
We study a class of problems known as pursuit-evasion problems (PE). These problems can be understood as special cases of optimal control problems. After describing the two main principles to study optimal control problems, namely Pontryagin's maximum principle and Bellman's method of dynamic …
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A State Space Partitioning Scheme for Vehicle Control in Pursuit-Evasion Scenarios
Pursuit-evasion games are the subject of a variety of research initiatives seeking to provide some level of autonomy to mobile, robotic vehicles with on-board controllers. Applications of these controllers include defense topics such as unmanned aerial vehicle (UAV) and unmanned underwater vehicle …
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Control and estimation with limited information: a game-theoretic approach
… the framework of stochastic zero-sum dynamic games. First, a corresponding stochastic minimax state estimator (SMSE) is obtained, along with an associated generalized stochastic Riccati equation (GSRE). Then, the asymptotic behavior of the estimation error in terms of the GSRE is analyzed. We …
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Game-theoretic methods for security and resilience in cyber-physical systems
… configuration policies, for nonzero-sum security games with incomplete information. In addition, games-in-games frameworks are proposed for system-wide modeling of complex hierarchical systems, where games played at different levels interact through their outcomes, action spaces, and costs. This …
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