Epistemic Logic And The Theory Of Games And Decisions

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Epistemic Logic and the Theory of Games and Decisions

Author : M. Bacharach,Louis André Gerard-Varet,Philippe Mongin,H.S. Shin
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 49,6 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9781461311393

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Epistemic Logic and the Theory of Games and Decisions by M. Bacharach,Louis André Gerard-Varet,Philippe Mongin,H.S. Shin Pdf

The convergence of game theory and epistemic logic has been in progress for two decades and this book explores this further by gathering specialists from different professional communities, i.e., economics, mathematics, philosophy, and computer science. This volume considers the issues of knowledge, belief and strategic interaction, with each contribution evaluating the foundational issues. In particular, emphasis is placed on epistemic logic and the representative topics of backward induction arguments and syntax/semantics and the logical omniscience problem. Part I of this collection deals with iterated knowledge in the multi-agent context, and more particularly with common knowledge. The first two papers in Part II of the collection address the so-called logical omniscience problem, a problem which has attracted much attention in the recent epistemic logic literature, and is pertinent to some of the issues discussed by decision theorists under the heading 'bounded rationality'. The remaining two chapters of section II provide two quite different angles on the strength of S5 (or the partitional model of information)- and so two different reasons for eschewing the strong form of logical omniscience implicit in S5. Part III gives attention to application to game theory and decision theory.

Epistemic Game Theory and Logic

Author : Paul Weirich
Publisher : MDPI
Page : 189 pages
File Size : 53,5 Mb
Release : 2018-04-27
Category : Epistemics
ISBN : 9783038424222

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Epistemic Game Theory and Logic by Paul Weirich Pdf

This book is a printed edition of the Special Issue "Epistemic Game Theory and Modal Logic" that was published in Games

Logic and the Foundations of Game and Decision Theory - LOFT 8

Author : Giacomo Bonanno,Benedikt Löwe,Wiebe van der Hoek
Publisher : Springer
Page : 207 pages
File Size : 52,8 Mb
Release : 2010-08-19
Category : Computers
ISBN : 9783642151644

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Logic and the Foundations of Game and Decision Theory - LOFT 8 by Giacomo Bonanno,Benedikt Löwe,Wiebe van der Hoek Pdf

This book constitutes the refereed proceedings of the 8th International Conference on Logic and the Foundations of the Theory of Game and Decision Theory, LOFT8 2008, held in Amsterdam, The Netherlands, July 2008. This volume is based on a selection of the presented papers and invited talks. They survived a thorough and lengthy reviewing process. The LOFT conferences are interdisciplinary events that bring together researchers from a variety of fields: computer science, economics, game theory, linguistics, logic, multi-agent systems, psychology, philosophy, social choice and statistics. Its focus is on the general issue of rationality and agency. The papers collected in this volume reflect the contemporary interests and interdisciplinary scope of the LOFT conferences.

Epistemic Game Theory

Author : Andrés Perea
Publisher : Cambridge University Press
Page : 581 pages
File Size : 44,9 Mb
Release : 2012-06-07
Category : Business & Economics
ISBN : 9781107008915

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Epistemic Game Theory by Andrés Perea Pdf

The first textbook to explain the principles of epistemic game theory.

The Logic of Strategy

Author : Cristina Bicchieri,Richard C. Jeffrey,Brian Skyrms
Publisher : Oxford University Press, USA
Page : 208 pages
File Size : 50,8 Mb
Release : 1999
Category : Game theory
ISBN : 9780195117158

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The Logic of Strategy by Cristina Bicchieri,Richard C. Jeffrey,Brian Skyrms Pdf

Edited by three leading figures in the field, this exciting volume presents cutting-edge work in decision theory by a distinguished international roster of contributors. These mostly unpublished papers address a host of crucial areas in the contemporary philosophical study of rationality and knowledge. Topics include causal versus evidential decision theory, game theory, backwards induction, bounded rationality, counterfactual reasoning in games and in general, analyses of the famous common knowledge assumptions in game theory, and evaluations of the normal versus extensive form formulations of complex decision problems.

The Language of Game Theory

Author : Adam Brandenburger
Publisher : World Scientific
Page : 298 pages
File Size : 41,6 Mb
Release : 2014
Category : Mathematics
ISBN : 9789814513449

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The Language of Game Theory by Adam Brandenburger Pdf

This volume contains eight papers written by Adam Brandenburger and his co-authors over a period of 25 years. These papers are part of a program to reconstruct game theory in order to make how players reason about a game a central feature of the theory. The program OCo now called epistemic game theory OCo extends the classical definition of a game model to include not only the game matrix or game tree, but also a description of how the players reason about one another (including their reasoning about other players' reasoning). With this richer mathematical framework, it becomes possible to determine the implications of how players reason for how a game is played. Epistemic game theory includes traditional equilibrium-based theory as a special case, but allows for a wide range of non-equilibrium behavior. Sample Chapter(s). Foreword (39 KB). Introduction (132 KB). Chapter 1: An Impossibility Theorem on Beliefs in Games (299 KB). Contents: An Impossibility Theorem on Beliefs in Games (Adam Brandenburger and H Jerome Keisler); Hierarchies of Beliefs and Common Knowledge (Adam Brandenburger and Eddie Dekel); Rationalizability and Correlated Equilibria (Adam Brandenburger and Eddie Dekel); Intrinsic Correlation in Games (Adam Brandenburger and Amanda Friedenberg); Epistemic Conditions for Nash Equilibrium (Robert Aumann and Adam Brandenburger); Lexicographic Probabilities and Choice Under Uncertainty (Lawrence Blume, Adam Brandenburger, and Eddie Dekel); Admissibility in Games (Adam Brandenburger, Amanda Friedenberg and H Jerome Keisler); Self-Admissible Sets (Adam Brandenburger and Amanda Friedenberg). Readership: Graduate students and researchers in the fields of game theory, theoretical computer science, mathematical logic and social neuroscience."

Explaining Games

Author : Boudewijn de Bruin
Publisher : Springer Science & Business Media
Page : 178 pages
File Size : 54,6 Mb
Release : 2010-08-18
Category : Science
ISBN : 9781402099069

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Explaining Games by Boudewijn de Bruin Pdf

Does game theory - the mathematical theory of strategic interaction - provide genuine explanations of human behaviour? Can game theory be used in economic consultancy or other normative contexts? Explaining Games: The Epistemic Programme in Game Theory - the first monograph on the philosophy of game theory - is a bold attempt to combine insights from epistemic logic and the philosophy of science to investigate the applicability of game theory in such fields as economics, philosophy and strategic consultancy. De Bruin proves new mathematical theorems about the beliefs, desires and rationality principles of individual human beings, and he explores in detail the logical form of game theory as it is used in explanatory and normative contexts. He argues that game theory reduces to rational choice theory if used as an explanatory device, and that game theory is nonsensical if used as a normative device. A provocative account of the history of game theory reveals that this is not bad news for all of game theory, though. Two central research programmes in game theory tried to find the ultimate characterisation of strategic interaction between rational agents. Yet, while the Nash Equilibrium Refinement Programme has done badly thanks to such research habits as overmathematisation, model-tinkering and introversion, the Epistemic Programme, De Bruin argues, has been rather successful in achieving this aim.

New Perspectives on Games and Interaction

Author : Krzysztof R. Apt,Robert Van Rooij
Publisher : Amsterdam University Press
Page : 331 pages
File Size : 47,6 Mb
Release : 2008
Category : Games & Activities
ISBN : 9789089640574

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New Perspectives on Games and Interaction by Krzysztof R. Apt,Robert Van Rooij Pdf

This volume is a collection of papers presented at the 2007 colloquium on new perspectives on games and interaction at the Royal Dutch Academy of Sciences in Amsterdam.

Information, Interaction, and Agency

Author : Wiebe van der Hoek
Publisher : Springer Science & Business Media
Page : 334 pages
File Size : 41,8 Mb
Release : 2005-12-06
Category : Philosophy
ISBN : 9781402040948

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Information, Interaction, and Agency by Wiebe van der Hoek Pdf

Contemporary epistemological and cognitive studies, as well as recent trends in computer science and game theory have revealed an increasingly important and intimate relationship between Information, Interaction, and Agency. Agents perform actions based on the available information and in the presence of other interacting agents. From this perspective Information, Interaction, and Agency neatly ties together classical themes like rationality, decision-making and belief revision with games, strategies and learning in a multi-agent setting. Unified by the central notions Information, Interaction, and Agency, the essays in this volume provide refreshing methodological perspectives on belief revision, dynamic epistemic logic, von Neumann games, and evolutionary game theory; all of which in turn are central approaches to understanding our own rationality and that of other agents.

Logic and the Foundations of Game and Decision Theory (LOFT 7)

Author : Giacomo Bonanno,Wiebe Hoek,Michael J. Wooldridge
Publisher : Leiden University Press
Page : 0 pages
File Size : 41,7 Mb
Release : 2008
Category : Computers
ISBN : 9089640266

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Logic and the Foundations of Game and Decision Theory (LOFT 7) by Giacomo Bonanno,Wiebe Hoek,Michael J. Wooldridge Pdf

This volume is a collects papers originally presented at the 7th Conference on Logic and the Foundations of Game and Decision Theory (LOFT), held at the University of Liverpool in July 2006. LOFT is a key venue for presenting research at the intersection of logic, economics, and computer science, and this collection gives a lively and wide-ranging view of an exciting and rapidly growing area.

Knowledge, Belief, and Strategic Interaction

Author : Cristina Bicchieri
Publisher : Cambridge University Press
Page : 444 pages
File Size : 43,5 Mb
Release : 1992-08-28
Category : Education
ISBN : 9780521416740

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Knowledge, Belief, and Strategic Interaction by Cristina Bicchieri Pdf

A group of pre-eminent figures offer a conspectus of the interaction of game theory, logic and episemology in the formal models of knowledge, belief, deliberation and learning.

Models of Strategic Reasoning

Author : Johan van Benthem,Sujata Ghosh,Rineke Verbrugge
Publisher : Springer
Page : 333 pages
File Size : 48,5 Mb
Release : 2016-01-08
Category : Mathematics
ISBN : 9783662485408

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Models of Strategic Reasoning by Johan van Benthem,Sujata Ghosh,Rineke Verbrugge Pdf

Strategic behavior is the key to social interaction, from the ever-evolving world of living beings to the modern theatre of designed computational agents. Strategies can make or break participants’ aspirations, whether they are selling a house, playing the stock market, or working toward a treaty that limits global warming. This book aims at understanding the phenomenon of strategic behavior in its proper width and depth. A number of experts have combined forces in order to create a comparative view of the different frameworks for strategic reasoning in social interactions that have been developed in game theory, computer science, logic, linguistics, philosophy, and cognitive and social sciences. The chapters are organized in three topic-based sections, namely reasoning about games; formal frameworks for strategies; and strategies in social situations. The book concludes with a discussion on the future of logical studies of strategies.

Logic in Games

Author : Johan Van Benthem
Publisher : MIT Press
Page : 567 pages
File Size : 44,7 Mb
Release : 2014-01-24
Category : Computers
ISBN : 9780262019903

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Logic in Games by Johan Van Benthem Pdf

A comprehensive examination of the interfaces of logic, computer science, and game theory, drawing on twenty years of research on logic and games. This book draws on ideas from philosophical logic, computational logic, multi-agent systems, and game theory to offer a comprehensive account of logic and games viewed in two complementary ways. It examines the logic of games: the development of sophisticated modern dynamic logics that model information flow, communication, and interactive structures in games. It also examines logic as games: the idea that logical activities of reasoning and many related tasks can be viewed in the form of games. In doing so, the book takes up the “intelligent interaction” of agents engaging in competitive or cooperative activities and examines the patterns of strategic behavior that arise. It develops modern logical systems that can analyze information-driven changes in players' knowledge and beliefs, and introduces the “Theory of Play” that emerges from the combination of logic and game theory. This results in a new view of logic itself as an interactive rational activity based on reasoning, perception, and communication that has particular relevance for games. Logic in Games, based on a course taught by the author at Stanford University, the University of Amsterdam, and elsewhere, can be used in advanced seminars and as a resource for researchers.

Readings in Formal Epistemology

Author : Horacio Arló-Costa,Vincent F. Hendricks,Johan van Benthem
Publisher : Springer
Page : 937 pages
File Size : 49,7 Mb
Release : 2016-06-07
Category : Philosophy
ISBN : 9783319204512

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Readings in Formal Epistemology by Horacio Arló-Costa,Vincent F. Hendricks,Johan van Benthem Pdf

This volume presents 38 classic texts in formal epistemology, and strengthens the ties between research into this area of philosophy and its neighbouring intellectual disciplines. The editors provide introductions to five subsections: Bayesian Epistemology, Belief Change, Decision Theory, Interactive Epistemology and Epistemic Logic. 'Formal epistemology' is a term coined in the late 1990s for a new constellation of interests in philosophy, the origins of which are found in earlier works of epistemologists, philosophers of science and logicians. It addresses a growing agenda of problems concerning knowledge, belief, certainty, rationality, deliberation, decision, strategy, action and agent interaction – and it does so using methods from logic, probability, computability, decision and game theory. The volume also includes a thorough index and suggestions for further reading, and thus offers a complete teaching and research package for students as well as research scholars of formal epistemology, philosophy, logic, computer science, theoretical economics and cognitive psychology.