the theory of extensive form games springer series in game theory

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The Theory Of Extensive Form Games

Author : Carlos Alós-Ferrer
ISBN : 9783662499443
Genre : Business & Economics
File Size : 73. 19 MB
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This book treats extensive form game theory in full generality. It provides a framework that does not rely on any finiteness assumptions at all, yet covers the finite case. The presentation starts by identifying the appropriate concept of a game tree. This concept represents a synthesis of earlier approaches, including the graph-theoretical and the decision-theoretical ones. It then provides a general model of sequential, interpersonal decision making, called extensive decision problems. Extensive forms are a special case thereof, which is such that all strategy profiles induce outcomes and do so uniquely. Requiring the existence of immediate predecessors yields discrete extensive forms, which are still general enough to cover almost all applications. The treatment culminates in a characterization of the topologies on the plays of the game tree that admit equilibrium analysis.

Game Theory

Author : Hans Peters
ISBN : 9783662469507
Genre : Mathematics
File Size : 53. 24 MB
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This textbook presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It is the second, revised version of the successful 2008 edition. The book covers most topics of interest in game theory, including cooperative game theory. Part I presents introductions to all these topics on a basic yet formally precise level. It includes chapters on repeated games, social choice theory, and selected topics such as bargaining theory, exchange economies, and matching. Part II goes deeper into noncooperative theory and treats the theory of zerosum games, refinements of Nash equilibrium in strategic as well as extensive form games, and evolutionary games. Part III covers basic concepts in the theory of transferable utility games, such as core and balancedness, Shapley value and variations, and nucleolus. Some mathematical tools on duality and convexity are collected in Part IV. Every chapter in the book contains a problem section. Hints, answers and solutions are included.

Rationality In Extensive Form Games

Author : Andrés Perea
ISBN : 9781475733914
Genre : Business & Economics
File Size : 80. 68 MB
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I would like to use this preface to thank some persons and institutions which have been important during the various stages of writing this book. First of all, I am grateful to Kluwer Academic Publishers for giving me the opportunity to write this book. I started writing the book in 1998 while I was working at the Departament d'Economia i d'Historia Economica at Universidad Autonoma de Barcelona, and continued the writing job from september 1998 to september 2000 at the Departamento de Economfa at Universidad Carlos III de Madrid. The book has been completed while I was visiting the Department of Quantitative Economics at the University of Maastricht from october 2000 to august 2001. I wish to thank these three departments for their hospitality. The book has improved substantially by comments and critique from the following persons who have read parts of the manuscript: Geir Asheim, Eric van Damme, Janos Flesch, Mari-Angeles de Frutos, Diego Moreno, Hans Peters, Antonio Romero and Dries Vermeulen. I should also mention my discussions with Peter Wakker about the decision-theoretic foundations of noncooperative game theory, which have had an important impact on various parts of the book. Finally, I wish to express my warmest gratitude to my parents, my brother and my sister, and, last but not least, to Cati, to whom I dedicate this book.

Decision And Game Theory For Security

Author : Linda Bushnell
ISBN : 9783030015541
Genre : Computers
File Size : 30. 6 MB
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The 28 revised full papers presented together with 8 short papers were carefully reviewed and selected from 44 submissions.Among the topical areas covered were: use of game theory; control theory; and mechanism design for security and privacy; decision making for cybersecurity and security requirements engineering; security and privacy for the Internet-of-Things; cyber-physical systems; cloud computing; resilient control systems, and critical infrastructure; pricing; economic incentives; security investments, and cyber insurance for dependable and secure systems; risk assessment and security risk management; security and privacy of wireless and mobile communications, including user location privacy; sociotechnological and behavioral approaches to security; deceptive technologies in cybersecurity and privacy; empirical and experimental studies with game, control, or optimization theory-based analysis for security and privacy; and adversarial machine learning and crowdsourcing, and the role of artificial intelligence in system security.

Pareto Nash Stackelberg Game And Control Theory

Author : Valeriu Ungureanu
ISBN : 9783319751511
Genre : Computers
File Size : 65. 77 MB
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This book presents a comprehensive new, multi-objective and integrative view on traditional game and control theories. Consisting of 15 chapters, it is divided into three parts covering noncooperative games; mixtures of simultaneous and sequential multi-objective games; and multi-agent control of Pareto-Nash-Stackelberg-type games respectively. Can multicriteria optimization, game theory and optimal control be integrated into a unique theory? Are there mathematical models and solution concepts that could constitute the basis of a new paradigm? Is there a common approach and method to solve emerging problems? The book addresses these and other related questions and problems to create the foundation for the Pareto-Nash-Stackelberg Game and Control Theory. It considers a series of simultaneous/Nash and sequential/Stackelberg games, single-criterion and multicriteria/Pareto games, combining Nash and Stackelberg game concepts and Pareto optimization, as well as a range of notions related to system control. In addition, it considers the problems of finding and representing the entire set of solutions. Intended for researches, professors, specialists, and students in the areas of game theory, operational research, applied mathematics, economics, computer science and engineering, it also serves as a textbook for various courses in these fields.

Handbook Of Game Theory

Author : Petyon Young
ISBN : 9780444537676
Genre : Mathematics
File Size : 52. 7 MB
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The ability to understand and predict behavior in strategic situations, in which an individual’s success in making choices depends on the choices of others, has been the domain of game theory since the 1950s. Developing the theories at the heart of game theory has resulted in 8 Nobel Prizes and insights that researchers in many fields continue to develop. In Volume 4, top scholars synthesize and analyze mainstream scholarship on games and economic behavior, providing an updated account of developments in game theory since the 2002 publication of Volume 3, which only covers work through the mid 1990s. Focuses on innovation in games and economic behavior Presents coherent summaries of subjects in game theory Makes details about game theory accessible to scholars in fields outside economics

Russian Contributions To Game Theory And Equilibrium Theory

Author : Theo S. H. Driessen
ISBN : 9783540320616
Genre : Business & Economics
File Size : 58. 37 MB
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The purpose of this book is to report to the international readership on the sophisticated research by Russian game theorists during the two decades 1968 - 1988. The book includes a collection of contributions in game theory and the related field of equilibrium theory which never had been published in English before. A short historical survey on the development of game theory in the USSR before 1990 is given in the introduction.

Decision And Game Theory For Security

Author : Tansu Alpcan
ISBN : 9783642171963
Genre : Business & Economics
File Size : 66. 6 MB
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Securing complex and networked systems has become increasingly important as these systems play an indispensable role in modern life at the turn of the - formation age. Concurrently, security of ubiquitous communication, data, and computing poses novel research challenges. Security is a multi-faceted problem due to the complexity of underlying hardware, software, and network inter- pendencies as well as human and social factors. It involves decision making on multiple levels and multiple time scales, given the limited resources available to both malicious attackers and administrators defending networked systems. - cision and game theory provides a rich set of analyticalmethods and approaches to address various resource allocation and decision-making problems arising in security. This edited volume contains the contributions presented at the inaugural Conference on Decision and Game Theory for Security - GameSec 2010. These 18 articles (12 full and 6 short papers) are thematically categorized into the following six sections: – “Security investments and planning” contains two articles, which present optimization methods for (security) investments when facing adversaries. – “Privacy and anonymity” has three articles discussing location privacy, - line anonymity, and economic aspects of privacy. – “Adversarial and robust control” contains three articles, which investigate security and robustness aspects of control in networks. – “Networksecurityandbotnets”hasfourarticlesfocusingondefensivestra- giesagainstbotnetsaswellasdetectionofmaliciousadversariesinnetworks. – “Authorizationandauthentication”hasanarticleonpasswordpracticesand another one presenting a game-theoretic authorization model. – “Theory and algorithms for security” contains four articles on various th- retic and algorithmic aspects of security.

Foundations In Microeconomic Theory

Author : Matthew O. Jackson
ISBN : 3540740570
Genre : Business & Economics
File Size : 31. 83 MB
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This volume collects papers from Hugo Sonnenschein's students. It aims to demonstrate his tremendous impact as an advisor. The papers span decades and present some of the most important articles in microeconomic theory. Each paper is accompanied with a preface by the student providing background on the paper and indicating Hugo's influence on its genesis. The papers all lie in microeconomic theory, and moreover all make fundamental contributions to the foundations of the theory.

Social And Economic Networks In Cooperative Game Theory

Author : Marco Slikker
ISBN : 9781461515692
Genre : Business & Economics
File Size : 86. 1 MB
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Social and Economic Networks in Cooperative Game Theory presents a coherent overview of theoretical literature that studies the influence and formation of networks in social and economic situations in which the relations between participants who are not included in a particular participant's network are not of consequence to this participant. The material is organized in two parts. In Part I the authors concentrate on the question how network structures affect economic outcomes. Part II of the book presents the formation of networks by agents who engage in a network-formation process to be able to realize the possible gains from cooperation.

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