Advances in Dynamic Games and Applications: (1 Annals of the International Society of Dynamic Games)

Recent years have witnessed a surge of activity in the field of dynamic both theory and applications. Theoretical as well as practical games, in problems in zero-sum and nonzero-sum games, continuous time differential and discrete time multistage games, and deterministic and stochastic games games are currently being investigated by researchers in diverse disciplines, such as engineering, mathematics, biology, economics, management science, and political science. This surge of interest has led to the formation of the International Society of Dynamic Games (ISDG) in 1990, whose primary goal is to foster the development of advanced research and applications in the field of game theory. One important activity of the Society is to organize biannually an international symposium which aims at bringing together all those who contribute to the development of this active field of applied science. In 1992 the symposium was organized in Grimentz, Switzerland, under the supervision of an international scientific committee and with the help of a local organizing committee based at University of Geneva. This book, which is the first volume in the new Series, Annals of the International Society of Dynamic Games (see the Preface to the Series), is based on presentations made at this symposium. It is however more than a book of proceedings for a conference. Every paper published in this volume has passed through a very selective refereeing process, as in an archival technical journal.

Table of Contents:
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 toEcosystem 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.