Games And Dynamic Games

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Games And Dynamic Games

Author : Alain Haurie
ISBN : 9814401269
Genre : Business & Economics
File Size : 30.65 MB
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Dynamic games arise between players (individuals, firms, countries, animals, etc.) when the strategic interactions among them recur over time and decisions made during one period affect both current and future payoffs. Dynamic games provide conceptually rich paradigms and tools to deal with these situations. This volume provides a uniform approach to game theory and illustrates it with present-day applications to economics and management, including environmental, with the emphasis on dynamic games. At the end of each chapter a case study called game engineering (GE) is provided, to help readers understand how problems of high social priority, such as environmental negotiations, exploitation of common resources, can be modeled as games and how solutions can be engineered.
Category: Business & Economics

Frontiers In Games And Dynamic Games

Author : David Yeung
ISBN : 9783030397890
Genre : Mathematics
File Size : 31.67 MB
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This contributed volume presents the state-of-the-art of games and dynamic games, featuring several chapters based on plenary sessions at the ISDG-China Chapter Conference on Dynamic Games and Game Theoretic Analysis, which was held from August 3-5, 2017 at the Ningbo campus of the University of Nottingham, China. The chapters in this volume will provide readers with paths to further research, serving as a testimony to the vitality of the field. Experts cover a range of theory and applications related to games and dynamic games, with topics including: Dynamically stable cooperative provision of public goods under non-transferable utility Strongly time-consistent solutions in cooperative dynamic games Incentive Stackelberg games for stochastic systems Static and inverse Stackelberg games in political economy Cournot and Betrand competition on symmetric R&D networks Numerical Nash equilibria using curvilinear multistart algorithm Markov chain approximation numerical scheme for infinite-horizon mean field games Frontiers in Games and Dynamic Games will appeal to an interdisciplinary audience of researchers, practitioners, and graduate students interested in games and dynamic games.
Category: Mathematics

Dynamic Games Theory And Applications

Author : Alain Haurie
ISBN : 0387246010
Genre : Business & Economics
File Size : 46.52 MB
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Dynamic games continue to attract strong interest from researchers interested in modelling competitive as well as conflict situations exhibiting an intertemporel aspect. Applications of dynamic games have proven to be a suitable methodology to study the behaviour of players (decision-makers) and to predict the outcome of such situations in many areas including engineering, economics, management science, military, biology and political science. Dynamic Games: Theory and Applications collects thirteen articles written by established researchers. It is an excellent reference for researchers and graduate students covering a wide range of emerging and revisited problems in both cooperative and non-cooperative games in different areas of applications, especially in economics and management science.
Category: Business & Economics

Handbook Of Dynamic Game Theory

Author : Tamer Başar
ISBN : 3319443739
Genre : Mathematics
File Size : 25.6 MB
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This will be a two-part handbook on Dynamic Game Theory and part of the Springer Reference program. Part I will be on the fundamentals and theory of dynamic games. It will serve as a quick reference and a source of detailed exposure to topics in dynamic games for a broad community of researchers, educators, practitioners, and students. Each topic will be covered in 2-3 chapters with one introducing basic theory and the other one or two covering recent advances and/or special topics. Part II will be on applications in fields such as economics, management science, engineering, biology, and the social sciences.
Category: Mathematics

Advances In Dynamic Games

Author : Michèle Breton
ISBN : 0817680896
Genre : Mathematics
File Size : 88.83 MB
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This book focuses on various aspects of dynamic game theory, presenting state-of-the-art research and serving as a testament to the vitality and growth of the field of dynamic games and their applications. The selected contributions, written by experts in their respective disciplines, are outgrowths of presentations originally given at the 13th International Symposium of Dynamic Games and Applications held in Wrocław. The book covers a variety of topics, ranging from theoretical developments in game theory and algorithmic methods to applications, examples, and analysis in fields as varied as environmental management, finance and economics, engineering, guidance and control, and social interaction.
Category: Mathematics

Advances In Dynamic Games And Applications

Author : Jerzy A. Filar
ISBN : 9781461213369
Genre : Mathematics
File Size : 83.59 MB
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Modem game theory has evolved enonnously since its inception in the 1920s in the works ofBorel and von Neumann and since publication in the 1940s of the seminal treatise "Theory of Games and Economic Behavior" by von Neumann and Morgenstern. The branch of game theory known as dynamic games is-to a significant extent-descended from the pioneering work on differential games done by Isaacs in the 1950s and 1960s. Since those early decades game theory has branched out in many directions, spanning such diverse disciplines as math ematics, economics, electrical and electronics engineering, operations research, computer science, theoretical ecology, environmental science, and even political science. The papers in this volume reflect both the maturity and the vitalityofmodem day game theoryin general, andofdynamic games, inparticular. The maturitycan be seen from the sophistication ofthe theorems, proofs, methods, and numerical algorithms contained in these articles. The vitality is manifested by the range of new ideas, new applications, the numberofyoung researchers among the authors, and the expanding worldwide coverage of research centers and institutes where the contributions originated.
Category: Mathematics

Dynamic Games And Applications In Economics

Author : Tamer Başar
ISBN : 3540164359
Genre : Business & Economics
File Size : 71.82 MB
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This volume contains eleven articles which deal with different aspects of dynaoic and differential game theory and its applications in economic modeling and decision making. All but one of these were presented as invited papers in special sessions I organized at the 7th Annual Conference on Economic Dynamics and Control in London, England, during the period June 26-28, 1985. The first article, which comprises Chapter 1, provides a general introduction to the topic of dynamic and differential game theory, discusses various noncooperative equilibrium solution concepts, includ ing Nash, Stackelberg, and Consistent Conjectural Variations equilibria, and a number of issues such as feedback and time-consistency. The second chapter deals with the role of information in Nash equilibria and the role of leadership in Stackelberg problems. A special type of a Stackelberg problem is the one in which one dominant player (leader) acquires dynamic information involving the actions of the others (followers), and constructs policies (so-called incentives) which enforce a certain type of behavior on the followers; Chapter 3 deals with such a class of problems and presents some new theoretical results on the existence of affine incentive policies. The topic of Chapter 4 is the computation of equilibria in discounted stochastic dynamic games. Here, for problems with finite state and decision spaces, existing algorithms are reviewed, with a comparative study of their speeds of convergence, and a new algorithm for the computation of nonzero-sum game equilibria is presented.
Category: Business & Economics

Advances In Dynamic Games And Applications

Author : Tamer Başar
ISBN : 0817636919
Genre : Mathematics
File Size : 38.26 MB
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Recent years have witnessed a surge of activity in the field of dynamic games, in both theory and applications. Theoretical as 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. 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 the 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 Games, is based on selected presentations made at this symposium. It is, however, not simply a book of proceedings for a conference. Every paper that appears in this volume has passed through a very selective refereeing process, as in an archival technical journal. This makes this first volume of the Annals of Dynamic Games a quality publication that presents a timely account of the state of the art 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 will find here important contributions in the following five areas which also constitute the groups by which the twenty-three chapters have been organized: Robust control design and H-infinity theory; pursuit-evasion games and numerical schemes; numerical solutions of discrete time games; base on mathematical programming techniques; stochastic differential, sequential and Markov games; and applications in ecology, environmental management, and biology. With such a diversity of topics, the book should be a valuable resource for researchers in the field of dynamic games and all neighboring disciplines. Series: Annals of the International Society of Dynamic Games, Volume 1 Contents: Preface Part I. Zero-sum differential games: Theory and applications in worst-case controller design A Theory of Differential Games /L.D. Berkovitz H-infinity Optimal Control of Singularly Perturbed Systems with Sampled-State Measurements /Z.Pan and T.Basar New Results on Nonlinear H-infinity Control Via Measurement Feedback /A.Isidori Reentry Trajectory Optimization under Atmospheric Uncertainty as a Differential Game /M.H.Breitner and H.Joseph Pesch Part II.Zero-sum differential games: Pursuit-evasion games and numerical schemes Fully Discrete Schemes for the Value Function of Pursuit-Evasion Games /M.Bardi, M.Falcone and P. Soravia Zero Sum Differential Games with Stopping Times: Some results about its Numerical Resolution /M.M.Tidball and R.L.V. Gonzalaz Singular Paths in Differential Games with Simple Motion /A. Melikyan The Circular Wall Pursuit / J.Lewin Part III. Mathematical programming techniques Decomposition of Multi-Player Linear Programs /R.Loulou, G.Savard and D.Lavigne Convergent Stepsizes for Constrained Min-Max Algorithms /B. Rustern Algorithms for the Solution of a Large-Scale Single-Controller Stochastic Game /M. Breton and S.E. Hechern Part IV. Stochastic games: Differential, sequential and Markhov Games Stochastic Games with Average Cost Constraints /N. Shimkin Stationary Equilibria for Nonzero-Sum Average Payoff Ergodic Stochastic Games and General State Space /A.S. Nowak Overtaking Equilibria for Switching Regulator and Tracking Games /D.Carlson A. Haurie and A. Leizarowitz Montonocity of Optimal Policies in a Zero Sum Game: A Flow Control Method /E. Altman Part V. Applications Capital Accumulations Subject to Pollution Control: A Differential Game with a Feedback Nash Equilibrium /D.W.K. Yeung and M. Tow Cheung Coastal States and Distant Water Fleets Under Extended Jurisdiction: The Search for Optimal Incentive Schemes /G.R. Munro Stabilizing Management and Structural Development of Open-Access Fisheries /M. Hilden, V.Kaitala and G. Leitman The Non-Uniqueness of Markovian Strategy Equilibrium: The Case of Continuous Time Models for Non-Renewable Resources /S.Clemhout and H.Y. Wan, Jr An Evolutionary Game Theory for Differential Equation Models with Reference to Ecosystem Management /T.L.Vincent On Barter Contracts in Electricity Exchange /J. Ruusunen Preventing Minority Disenfranchisement Through Dynamic Bayesian Reappointment of Legislative Voting Power /L. Papaynoupoulos Learning by Doing and Technology Sharing in Asymmetric Duopolies /M.-L. Petit and B.Tolwinski
Category: Mathematics

Advances In Dynamic Games And Applications

Author : Eitan Altmann
ISBN : 0817642021
Genre : Mathematics
File Size : 35.59 MB
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Game theory is a rich and active area of research of which this new volume of the Annals of the International Society of Dynamic Games is yet fresh evidence. Since the second half of the 20th century, the area of dynamic games has man aged to attract outstanding mathematicians, who found exciting open questions requiring tools from a wide variety of mathematical disciplines; economists, so cial and political scientists, who used game theory to model and study competition and cooperative behavior; and engineers, who used games in computer sciences, telecommunications, and other areas. The contents of this volume are primarily based on selected presentation made at the 8th International Symposium of Dynamic Games and Applications, held in Chateau Vaalsbroek, Maastricht, the Netherlands, July 5-8, 1998; this conference took place under the auspices of the International Society of Dynamic Games (ISDG), established in 1990. The conference has been cosponsored by the Control Systems Society of the IEEE, IFAC (International Federation of Automatic Con trol), INRIA (Institute National de Recherche en Informatique et Automatique), and the University of Maastricht. One ofthe activities of the ISDG is the publica tion of the Annals. Every paper that appears in this volume has passed through a stringent reviewing process, as is the case with publications for archival journals.
Category: Mathematics

Advances In Dynamic Games

Author : Alain Haurie
ISBN : 9780817645014
Genre : Mathematics
File Size : 82.40 MB
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This book, an outgrowth of the 10th International Symposium on Dynamic Games, presents current developments of the theory of dynamic games and its applications. The text uses dynamic game models to approach and solve problems pertaining to pursuit-evasion, marketing, finance, climate and environmental economics, resource exploitation, as well as auditing and tax evasions. It includes chapters on cooperative games, which are increasingly drawing dynamic approaches to their classical solutions.
Category: Mathematics

A Survey Of Dynamic Games In Economics

Author : Ngo Van Long
ISBN : 9789814293037
Genre : Mathematics
File Size : 66.44 MB
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This book provides readers with a comprehensive survey of models of dynamic games in economics, including an extensive coverage of numerous fields of applications. It will also discuss and explain main concepts and techniques used in dynamic games, and inform readers of its major developments while equipping them with tools and ideas that will aid in the formulation of solutions for problems. A Survey of Dynamic Games in Economics will interest those who wish to study more about the conceptions, approaches and models that are applied in the domain of dynamic games.
Category: Mathematics

New Trends In Dynamic Games And Applications

Author : Jan G. Olsder
ISBN : 9781461242741
Genre : Mathematics
File Size : 40.41 MB
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The theory of dynamic games is very rich in nature and very much alive! If the reader does not already agree with this statement, I hope he/she will surely do so after having consulted the contents of the current volume. The activities which fall under the heading of 'dynamic games' cannot easily be put into one scientific discipline. On the theoretical side one deals with differential games, difference games (the underlying models are described by differential, respec tively difference equations) and games based on Markov chains, with determin istic and stochastic games, zero-sum and nonzero-sum games, two-player and many-player games - all under various forms of equilibria. On the practical side, one sees applications to economics (stimulated by the recent Nobel prize for economics which went to three prominent scientists in game theory), biology, management science, and engineering. The contents of this volume are primarily based on selected presentations made at the Sixth International Symposium on Dynamic Games and Applica tions, held in St Jovite, Quebec, Canada, 13-15 July 1994. Every paper that appears in this volume has passed through a stringent reviewing process, as is the case with publications for archival technical journals. This conference, as well as its predecessor which was held in Grimentz, 1992, took place under the auspices of the International Society of Dynamic Games (ISDG), established in 1990. One of the activities of the ISDG is the publication of these Annals. The contributions in this volume have been grouped around five themes.
Category: Mathematics

Dynamic Noncooperative Game Theory

Author : Tamer Başar
ISBN : 089871429X
Genre : Mathematics
File Size : 49.49 MB
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An overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and the role of different information patterns.
Category: Mathematics

Game Theory

Author : Graham Romp
ISBN : 9780198775027
Genre : Technology & Engineering
File Size : 55.31 MB
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Covering all the essential topics for undergraduate courses, this is the ideal student introduction to game theory. The book sets out the basics of the subject in a non-technical way. All discussion and explanation is clear, well structured, and entirely accessible to students of both economics and business. In addition to describing and explaining the basic theory, Game Theory uses illustrations and examples to show its application to realistic, topical, and interesting problems-ranging from strategic decision-making within companies to international environmental policy-making. The book also features exercises with accompanying solutions to allow the student to check progress throughout the course, and a guide to further reading at the end of each chapter.
Category: Technology & Engineering

Advances In Dynamic Game Theory

Author : Steffen Jorgensen
ISBN : 9780817645533
Genre : Mathematics
File Size : 76.84 MB
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This collection of selected contributions gives an account of recent developments in dynamic game theory and its applications, covering both theoretical advances and new applications of dynamic games in such areas as pursuit-evasion games, ecology, and economics. Written by experts in their respective disciplines, the chapters include stochastic and differential games; dynamic games and their applications in various areas, such as ecology and economics; pursuit-evasion games; and evolutionary game theory and applications. The work will serve as a state-of-the art account of recent advances in dynamic game theory and its applications for researchers, practitioners, and advanced students in applied mathematics, mathematical finance, and engineering.
Category: Mathematics

An Introduction To Applicable Game Theory

Author : Robert Gibbons
ISBN : UCSC:32106013113904
Genre : Electronic book
File Size : 45.53 MB
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This paper offers an introduction to game theory for applied economists. I try to give simple definitions and intuitive examples of the basic kinds of games and their solution concepts. There are four kinds of games: static or dynamic, and complete or incomplete information. ( Complete information means there is no private information.) The corresponding solution concepts are: Nash equilibrium in static games of complete information; backwards induction (or subgame-perfect Nash equilibrium) in dynamic games of complete information; Bayesian Nash equilibrium in static games with incomplete information; and perfect Bayesian (or sequential) equilibrium in dynamic games with incomplete information. The main theme of the paper is that these solution concepts are closely linked. As we consider progressively richer games, we progressively strengthen the solution concept, to rule out implausible equilibria in the richer games that would survive if we applied solution concepts available for simpler games. In each case, the stronger solution concept differs from the weaker concept only for the richer games, not for the simpler games.
Category: Electronic book

Advances In Dynamic Games

Author : David M. Ramsey
ISBN : 3030565335
Genre : Mathematics
File Size : 86.14 MB
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This contributed volume collects talks originally given at the 18th International Symposium on Dynamic Games and Applications, held in Grenoble, France from July 9-12, 2018. Chapters present state-of-the-art research in the field of dynamic games and are written by leading experts in this active area. Featuring a broad overview of recent advances as well as a wide range of applications, this book is organized into four sections: games of conflict, evolutionary games, economic games, and games involving common interest. Within these sections, specific topics covered include: Pursuit-evasion games Partnership formation games Replicator dynamics Load balancing congestion games Equilibrium coalition structures Advances in Dynamic Games will be of particular interest to researchers and doctoral students studying game theory.
Category: Mathematics

Game Theory And Applications

Author : Leon A. Petrosjan
ISBN : 1600214681
Genre : Mathematics
File Size : 63.36 MB
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This book brings together papers of well-known specialists in game theory and adjacent problems. It presents the basic results in dynamic games, stochastic games, applications of game theoretical methods in ecology and economics and methodological aspects of game theory.
Category: Mathematics

Advances In Dynamic Games

Author : Vlastimil Křivan
ISBN : 9783319026909
Genre : Mathematics
File Size : 81.41 MB
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This contributed volume focuses on aspects of dynamic game theory including differential games, evolutionary games, and stochastic games. It covers theoretical developments, algorithmic methods, and applications to fields as varied as mathematical biology, environmental management, economics, engineering, guidance and control, and social interaction. It will be of interest to an interdisciplinary audience of researchers, practitioners, and advanced graduate students. Advances in Dynamic Games presents state-of-the-art research that serves as a testament to the vitality and growth of the field of dynamic games and their applications. Its contributions, written by experts in their respective disciplines, are outgrowths of presentations originally given at the 15th International Symposium of Dynamic Games and Applications held July 19–22, 2012, in Byšice, Czech Republic.
Category: Mathematics

Advances In Dynamic Games

Author : Andrzej S. Nowak
ISBN : 9780817644291
Genre : Business & Economics
File Size : 49.17 MB
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This book focuses on various aspects of dynamic game theory, presenting state-of-the-art research and serving as a guide to the vitality and growth of the field. A valuable reference for researchers and practitioners in dynamic game theory, it covers a broad range of topics and applications, including repeated and stochastic games, differential dynamic games, optimal stopping games, and numerical methods and algorithms for solving dynamic games. The diverse topics included will also benefit researchers and graduate students in applied mathematics, economics, engineering, systems and control, and environmental science.
Category: Business & Economics