Advances in Dynamic Games and Applications

Abstract

I. Zero-sum differential games: Theory and applications in worst-case controller design.- A Theory of Differential Games.- H?-Optimal Control of Singularly Perturbed Systems with Sampled-State Measurements.- New Results on Nonlinear H? Control Via Measurement Feedback.- Reentry Trajectory Optimization under Atmospheric Uncertainty as a Differential Game.- II. Zero-sum differential games: Pursuit-evasion games and numerical schemes.- Fully Discrete Schemes for the Value Function of Pursuit-Evasion Games.- Zero Sum Differential Games with Stopping Times: Some Results about its Numerical Resolution.- Singular Paths in Differential Games with Simple Motion.- The Circular Wall Pursuit.- III. Mathematical programming techniques.- Decomposition of Multi-Player Linear Programs.- Convergent Stepsizes for Constrained Min-Max Algorithms.- Algorithms for the Solution of a Large-Scale Single-Controller Stochastic Game.- IV. Stochastic games: Differential, sequential and Markov Games.- Stochastic Games with Average Cost Constraints.- Stationary Equilibria for Nonzero-Sum Average Payoff Ergodic Stochastic Games and General State Space.- Overtaking Equilibria for Switching Regulator and Tracking Games.- Monotonicity of Optimal Policies in a Zero Sum Game: A Flow Control Model.- V. Applications.- Capital Accumulation Subject to Pollution Control: A Differential Game with a Feedback Nash Equilibrium.- Coastal States and Distant Water Fleets Under Extended Jurisdiction: The Search for Optimal Incentive Schemes.- Stabilizing Management and Structural Development of Open-Access Fisheries.- The Non-Uniqueness of Markovian Strategy Equilibrium: The Case of Continuous Time Models for Non-Renewable Resources.- An Evolutionary Game Theory for Differential Equation Models with Reference to Ecosystem Management.- On Barter Contracts in Electricity Exchange.- Preventing Minority Disenfranchisement Through Dynamic Bayesian Reapportionment of Legislative Voting Power.- Learning by Doing and Technology Sharing in Asymmetric Duopolies.