Epistemic Game Theory And Logic
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Epistemic Game Theory And Logic
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Author : Paul Weirich
language : en
Publisher: MDPI
Release Date : 2018-04-27
Epistemic Game Theory And Logic written by Paul Weirich and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-27 with Epistemics categories.
This book is a printed edition of the Special Issue "Epistemic Game Theory and Modal Logic" that was published in Games
Epistemic Logic And The Theory Of Games And Decisions
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Author : M. Bacharach
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Epistemic Logic And The Theory Of Games And Decisions written by M. Bacharach and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
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 Modal Logic
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Author : Herbert Gintis
language : en
Publisher:
Release Date : 2017
Epistemic Game Theory And Modal Logic written by Herbert Gintis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Business categories.
Game theory addresses situations with multiple agents in which the outcome of an agent's act depends on the acts of the other agents. The agents may be mindless organisms. Epistemic game theory addresses games in which the agents have minds. An agent reasons about the acts of other agents and-if the other agents observe the agent's act-reasons about the other agents' responses to the act. The agents use logic to draw conclusions about the prospects of the acts that they can perform. This Special Issue of Games deals with epistemic game theory and the contributions that logic makes to an agent's practical reasoning about the strategy to adopt in a game. Although behavioral studies are relevant, the emphasis is on rational reasoning. Models of such reasoning may deal with cognitively ideal agents as well as humans. Possible topics include the players' common knowledge of their game and their rationality; reasoning that supports the players' in playing their part in a Nash equilibrium of the game; backwards induction, its results, and the conditions that support it; forward induction; learning in sequential games or in repetitions of games; Hintikka models and Kripke models of agents' information; applications of modal logic's methods to epistemic logic; interactive epistemology; Bayesian game theory and Bayesian equilibrium; and games with imperfect, incomplete, or asymmetric information
Explaining Games
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Author : Boudewijn de Bruin
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-18
Explaining Games written by Boudewijn de Bruin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-18 with Science categories.
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.
Logic In Games
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Author : Johan Van Benthem
language : en
Publisher: MIT Press
Release Date : 2014-01-24
Logic In Games written by Johan Van Benthem and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-24 with Computers categories.
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.
The Language Of Game Theory
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Author : Adam Brandenburger
language : en
Publisher: World Scientific
Release Date : 2014
The Language Of Game Theory written by Adam Brandenburger and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Mathematics categories.
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."
Epistemic Game Theory
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Author : Andrés Perea
language : en
Publisher: Cambridge University Press
Release Date : 2012-06-07
Epistemic Game Theory written by Andrés Perea and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-07 with Business & Economics categories.
The first textbook to explain the principles of epistemic game theory.
Games Norms And Reasons
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Author : Johan van Benthem
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-03-30
Games Norms And Reasons written by Johan van Benthem and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-30 with Philosophy categories.
Games, Norms, and Reasons: Logic at the Crossroads provides an overview of modern logic focusing on its relationships with other disciplines, including new interfaces with rational choice theory, epistemology, game theory and informatics. This book continues a series called "Logic at the Crossroads" whose title reflects a view that the deep insights from the classical phase of mathematical logic can form a harmonious mixture with a new, more ambitious research agenda of understanding and enhancing human reasoning and intelligent interaction. The editors have gathered together articles from active authors in this new area that explore dynamic logical aspects of norms, reasons, preferences and beliefs in human agency, human interaction and groups. The book pays a special tribute to Professor Rohit Parikh, a pioneer in this movement.
Epistemic Logic And The Theory Of Games And Decisions
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Author : M. O. L. Bacharach
language : en
Publisher:
Release Date : 1997
Epistemic Logic And The Theory Of Games And Decisions written by M. O. L. Bacharach and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
The Logic Of Strategy
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Author : Cristina Bicchieri
language : en
Publisher: Oxford University Press
Release Date : 1999-09-02
The Logic Of Strategy written by Cristina Bicchieri and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-09-02 with Philosophy categories.
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.