Advances in Dynamic Games and Applications

Recent years have witnessed a surge of activity in the field of dynamic games, in both theory and applicati( s. Th well as practical problems in zero-sum and nonzero-sum games, continuous time differential games and discrete time multistage games, and deterministic and stochastic games are currently being investigated by researchers in diverse disciplines, such as engineering, mathematics, biology, economics, management science, and political science. 'Mis surge of interest led, in 1990, to the formation of the International Society of Dynamic Gaines (ISDG), 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 hold a biannual, intemational symposium to bring together researchers who contribute to the development of this active field of applied science. In 1992 such a symposium was held in Grimentz, Switzerland. This book, which is the first volume in the new series, Annals of Dynamic Gaines, is based on selected presentations made at this symposium. It is, however, not simply a book of proceedings for a conference. EveTy paper that appears in this volume has passed through a selective refereeing proem, as in an archival technical joumal. This makes this first volume of the Annals of Dynamic Games a quality publication that presents a timely account of the state-of-the-all in this dynamic field. The papers included in this volume attest to the vitality and diversity of ongoing research in dynamic games and applications. The reader wfll fmd here important contributions in the following five areas, which also constitute the groups according to which the twenty-three chapters have been organized: Robust control design and H'-theory; pursuit-evasion games and numerical schemes; numerical solutions of discrete time games, based on mathematical programming techniques; stochastic differential, sequential and Markov games; and applications in ecology, environmental management, and biology. With such diversity of topics, the book should be a valuable resource for researchers in the field of dynamic games and all neighboring disciplines.

Table of Contents:
Part I. Zero-sum differential games: Theory, and applications in worst-case controller design A Theory of Differential Games Leonard D. Berkovitz H'-Optimal Control of Singularly Perturbed Systems with Sampled-State Measurements, Zigang Pan and Tamer Basar; New Results on Nonlinear Hoo-Control Via Measurement Feedback, Alberto Isidori; Reentry Trajectory Optimization under Atmospheric Uncertainty as a Differential Game, Michael H. Bmztner and H. Josef Pesch; Part Il. Zero-sum differential games: Pursuit-evasion games and numerical schemes Fully Discrete Schemes for the Value Function of Pursuit-Evasion Games, Martino Bardi, Maurizio Falcone, and P. Soravia; Zero Sum Differential Games with Stopping Times - Some Results about its Numerical Resolution Mabel M. Tidball and Roberto L. V. Gonzdlez; Singular Paths in Differential Games with Simple Motion, Arik Melikyan; The Circular Wall Pursuit, Joseph Lewin Part III. Mathematical programming techniques Decomposition of Multi-Player Linear Programs, Richard Loulou, Gilles Savard, and Denis Lavigne; Convergent Stepsizes for Constrained Min-Max Algorithms, Berc Rustem; Algorithms for the Solution of a Large-Scale Single-Controller Stochastic Game, Michele Breton and Saeb El Hachem. Part IV Stochastic games - differential, sequential and Markov games: stochastic games with average cost constraints, Nahun Skimkin; stationery equilibria for Nonzero-sum average payoff ergodic stocastic games with general state space, Andrzek S> Nowak; overtaking equilibria for switching regualtor and tracking games, Dean Carlson, ALain Haurie, and Arie Leizarowitz; monotonicity of optimal policies in a zero sum game - a flow chart model, Eitan Altman. Part V Applications: Captial assumulation subject to pollutin control - a differential game with a feedback nash equilbrium, David W.K. Yeung and Michael To Cheung; coastal states adn distant water fleets unfer extended jurisdiction - the search for the optimal incentive schemes, Gordon R. Munro. Stabilizing managmenet and structural development of open-access fisheries, Mikael Hilden, Veijo Kaitala and George Leitmann; the nonuniqueness of Markovian strategy equilbrium - the case of continuious time models for non-renewable resurces, S. Clehhout and Henry Y. Wan, Jr; an evolutionary game theory for differential equation models with reference to ecosystem management, Thomas L. Vincent; on barter contracts in electricity exchange, Jukka Rusunen; preventing minority disinfranchisement through dynamic bayesian reappointment of legislative voting power, Lee Papayanopoulos; learning in doing and technology sharing in asymmetric duopolies, Maria Luisa Petit and Boleslaw Tolwinski. part contents.