Simple Adaptive Strategies From Regret Matching To Uncoupled Dynamics

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Simple Adaptive Strategies: From Regret-matching To Uncoupled Dynamics

Author : Sergiu Hart
Publisher : World Scientific
ISBN 13 : 9814401595
Total Pages : 335 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Simple Adaptive Strategies: From Regret-matching To Uncoupled Dynamics by : Sergiu Hart

Download or read book Simple Adaptive Strategies: From Regret-matching To Uncoupled Dynamics written by Sergiu Hart and published by World Scientific. This book was released on 2013-01-22 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects almost two decades of joint work of Sergiu Hart and Andreu Mas-Colell on game dynamics and equilibria. The starting point was the introduction of the adaptive strategy called regret-matching, which on the one hand is simple and natural, and on the other is shown to lead to correlated equilibria. This initial finding — boundedly rational behavior that yields fully rational outcomes in the long run — generated a large body of work on the dynamics of simple adaptive strategies. In particular, a natural condition on dynamics was identified: uncoupledness, whereby decision-makers do not know each other's payoffs and utilities (so, while chosen actions may be observable, the motivations are not). This condition turns out to severely limit the equilibria that can be reached. Interestingly, there are connections to the behavioral and neurobiological sciences and also to computer science and engineering (e.g., via notions of “regret”).Simple Adaptive Strategies is self-contained and unified in its presentation. Together with the formal treatment of concepts, theorems, and proofs, significant space is devoted to informal explanations and illuminating examples. It may be used for advanced graduate courses — in game theory, economics, mathematics, computer science, engineering — and for further research.

Prediction, Learning, and Games

Author : Nicolo Cesa-Bianchi
Publisher : Cambridge University Press
ISBN 13 : 113945482X
Total Pages : 4 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Prediction, Learning, and Games by : Nicolo Cesa-Bianchi

Download or read book Prediction, Learning, and Games written by Nicolo Cesa-Bianchi and published by Cambridge University Press. This book was released on 2006-03-13 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important text and reference for researchers and students in machine learning, game theory, statistics and information theory offers a comprehensive treatment of the problem of predicting individual sequences. Unlike standard statistical approaches to forecasting, prediction of individual sequences does not impose any probabilistic assumption on the data-generating mechanism. Yet, prediction algorithms can be constructed that work well for all possible sequences, in the sense that their performance is always nearly as good as the best forecasting strategy in a given reference class. The central theme is the model of prediction using expert advice, a general framework within which many related problems can be cast and discussed. Repeated game playing, adaptive data compression, sequential investment in the stock market, sequential pattern analysis, and several other problems are viewed as instances of the experts' framework and analyzed from a common nonstochastic standpoint that often reveals new and intriguing connections.

Partially Observed Markov Decision Processes

Author : Vikram Krishnamurthy
Publisher : Cambridge University Press
ISBN 13 : 1107134609
Total Pages : 491 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Partially Observed Markov Decision Processes by : Vikram Krishnamurthy

Download or read book Partially Observed Markov Decision Processes written by Vikram Krishnamurthy and published by Cambridge University Press. This book was released on 2016-03-21 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers formulation, algorithms, and structural results of partially observed Markov decision processes, whilst linking theory to real-world applications in controlled sensing. Computations are kept to a minimum, enabling students and researchers in engineering, operations research, and economics to understand the methods and determine the structure of their optimal solution.

Algorithmic Game Theory

Author : Ron Lavi
Publisher : Springer
ISBN 13 : 3662448033
Total Pages : 307 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Algorithmic Game Theory by : Ron Lavi

Download or read book Algorithmic Game Theory written by Ron Lavi and published by Springer. This book was released on 2014-09-05 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Symposium on Algorithmic Game Theory, SAGT 2014, held in Haifa, Israel, in October 2014. The 24 full papers and 5 short papers presented were carefully reviewed and selected from 65 submissions. They cover various important aspects of algorithmic game theory, such as matching theory, game dynamics, games of coordination, networks and social choice, markets and auctions, price of anarchy, computational aspects of games, mechanism design and auctions.

Mathematical Foundations of Game Theory

Author : Rida Laraki
Publisher : Springer Nature
ISBN 13 : 303026646X
Total Pages : 240 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Mathematical Foundations of Game Theory by : Rida Laraki

Download or read book Mathematical Foundations of Game Theory written by Rida Laraki and published by Springer Nature. This book was released on 2019-09-07 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a concise presentation of the mathematical foundations of Game Theory, with an emphasis on strategic analysis linked to information and dynamics. It is largely self-contained, with all of the key tools and concepts defined in the text. Combining the basics of Game Theory, such as value existence theorems in zero-sum games and equilibrium existence theorems for non-zero-sum games, with a selection of important and more recent topics such as the equilibrium manifold and learning dynamics, the book quickly takes the reader close to the state of the art. Applications to economics, biology, and learning are included, and the exercises, which often contain noteworthy results, provide an important complement to the text. Based on lectures given in Paris over several years, this textbook will be useful for rigorous, up-to-date courses on the subject. Apart from an interest in strategic thinking and a taste for mathematical formalism, the only prerequisite for reading the book is a solid knowledge of mathematics at the undergraduate level, including basic analysis, linear algebra, and probability.

Hardness of Approximation Between P and NP

Author : Aviad Rubinstein
Publisher : Morgan & Claypool
ISBN 13 : 1947487213
Total Pages : 321 pages
Book Rating : 4.9/5 (474 download)

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Book Synopsis Hardness of Approximation Between P and NP by : Aviad Rubinstein

Download or read book Hardness of Approximation Between P and NP written by Aviad Rubinstein and published by Morgan & Claypool. This book was released on 2019-06-07 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nash equilibrium is the central solution concept in Game Theory. Since Nash’s original paper in 1951, it has found countless applications in modeling strategic behavior of traders in markets, (human) drivers and (electronic) routers in congested networks, nations in nuclear disarmament negotiations, and more. A decade ago, the relevance of this solution concept was called into question by computer scientists, who proved (under appropriate complexity assumptions) that computing a Nash equilibrium is an intractable problem. And if centralized, specially designed algorithms cannot find Nash equilibria, why should we expect distributed, selfish agents to converge to one? The remaining hope was that at least approximate Nash equilibria can be efficiently computed. Understanding whether there is an efficient algorithm for approximate Nash equilibrium has been the central open problem in this field for the past decade. In this book, we provide strong evidence that even finding an approximate Nash equilibrium is intractable. We prove several intractability theorems for different settings (two-player games and many-player games) and models (computational complexity, query complexity, and communication complexity). In particular, our main result is that under a plausible and natural complexity assumption ("Exponential Time Hypothesis for PPAD"), there is no polynomial-time algorithm for finding an approximate Nash equilibrium in two-player games. The problem of approximate Nash equilibrium in a two-player game poses a unique technical challenge: it is a member of the class PPAD, which captures the complexity of several fundamental total problems, i.e., problems that always have a solution; and it also admits a quasipolynomial time algorithm. Either property alone is believed to place this problem far below NP-hard problems in the complexity hierarchy; having both simultaneously places it just above P, at what can be called the frontier of intractability. Indeed, the tools we develop in this book to advance on this frontier are useful for proving hardness of approximation of several other important problems whose complexity lies between P and NP: Brouwer’s fixed point, market equilibrium, CourseMatch (A-CEEI), densest k-subgraph, community detection, VC dimension and Littlestone dimension, and signaling in zero-sum games.

Econophysics of the Kolkata Restaurant Problem and Related Games

Author : Bikas K. Chakrabarti
Publisher : Springer
ISBN 13 : 3319613529
Total Pages : 212 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Econophysics of the Kolkata Restaurant Problem and Related Games by : Bikas K. Chakrabarti

Download or read book Econophysics of the Kolkata Restaurant Problem and Related Games written by Bikas K. Chakrabarti and published by Springer. This book was released on 2017-07-19 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the first comprehensive introduction to multi-agent, multi-choice repetitive games, such as the Kolkata Restaurant Problem and the Minority Game. It explains how the tangible formulations of these games, using stochastic strategies developed by statistical physicists employing both classical and quantum physics, have led to very efficient solutions to the problems posed. Further, it includes sufficient introductory notes on information-processing strategies employing both classical statistical physics and quantum mechanics. Games of this nature, in which agents are presented with choices, from among which their goal is to make the minority choice, offer effective means of modeling herd behavior and market dynamics and are highly relevant to assessing systemic risk. Accordingly, this book will be of interest to economists, physicists, and computer scientists alike.

Outcome-Driven Business Architecture

Author : Amit Tiwary
Publisher : CRC Press
ISBN 13 : 1498724302
Total Pages : 334 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Outcome-Driven Business Architecture by : Amit Tiwary

Download or read book Outcome-Driven Business Architecture written by Amit Tiwary and published by CRC Press. This book was released on 2018-08-06 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses business architecture as a basis for aligning efforts with outcomes. It views BA as complementary to enterprise architecture, where the focus of technological initiatives and inventories is to understand and improve business organization, business direction, and business decision-making. This book provides a practical, long-term view on BA. Based on the authors' consulting experience and industrial research, the material in this book is a valuable addition to the thought processes around BA and EA. The lead author has direct and practical experience with large clients in applying APQC capability framework for undertaking multiple enterprise-wide capability assessments.

AI 2019: Advances in Artificial Intelligence

Author : Jixue Liu
Publisher : Springer Nature
ISBN 13 : 3030352889
Total Pages : 622 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis AI 2019: Advances in Artificial Intelligence by : Jixue Liu

Download or read book AI 2019: Advances in Artificial Intelligence written by Jixue Liu and published by Springer Nature. This book was released on 2019-11-25 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 32nd Australasian Joint Conference on Artificial Intelligence, AI 2019, held in Adelaide, SA, Australia, in December 2019. The 48 full papers presented in this volume were carefully reviewed and selected from 115 submissions. The paper were organized in topical sections named: game and multiagent systems; knowledge acquisition, representation, reasoning; machine learning and applications; natural language processing and text analytics; optimization and evolutionary computing; and image processing.

Foundations of Complex-system Theories

Author : Sunny Y. Auyang
Publisher : Cambridge University Press
ISBN 13 : 9780521778268
Total Pages : 422 pages
Book Rating : 4.7/5 (782 download)

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Book Synopsis Foundations of Complex-system Theories by : Sunny Y. Auyang

Download or read book Foundations of Complex-system Theories written by Sunny Y. Auyang and published by Cambridge University Press. This book was released on 1998 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analyzes approaches to the study of complexity in the physical, biological, and social sciences.

Pareto-Nash-Stackelberg Game and Control Theory

Author : Valeriu Ungureanu
Publisher : Springer
ISBN 13 : 3319751514
Total Pages : 352 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Pareto-Nash-Stackelberg Game and Control Theory by : Valeriu Ungureanu

Download or read book Pareto-Nash-Stackelberg Game and Control Theory written by Valeriu Ungureanu and published by Springer. This book was released on 2018-03-09 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Strategic Learning and Its Limits

Author : H. Peyton Young
Publisher : Oxford University Press, USA
ISBN 13 : 0199269181
Total Pages : 178 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Strategic Learning and Its Limits by : H. Peyton Young

Download or read book Strategic Learning and Its Limits written by H. Peyton Young and published by Oxford University Press, USA. This book was released on 2004 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents

The Language of Game Theory

Author : Adam Brandenburger
Publisher : World Scientific
ISBN 13 : 981451344X
Total Pages : 298 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis The Language of Game Theory by : Adam Brandenburger

Download or read book The Language of Game Theory written by Adam Brandenburger and published by World Scientific. This book was released on 2014 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."

Models of Bounded Rationality and Mechanism Design

Author : Jacob Glazer
Publisher : World Scientific Publishing Company
ISBN 13 : 9813141336
Total Pages : 153 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Models of Bounded Rationality and Mechanism Design by : Jacob Glazer

Download or read book Models of Bounded Rationality and Mechanism Design written by Jacob Glazer and published by World Scientific Publishing Company. This book was released on 2016-08-22 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together the authors' joint papers from over a period of more than twenty years. The collection includes seven papers, each of which presents a novel and rigorous model in Economic Theory. All of the models are within the domain of implementation and mechanism design theories. These theories attempt to explain how incentive schemes and organizations can be designed with the goal of inducing agents to behave according to the designer's (principal's) objectives. Most of the literature assumes that agents are fully rational. In contrast, the authors inject into each model an element which conflicts with the standard notion of full rationality, demonstrating how such elements can dramatically change the mechanism design problem. Although all of the models presented in this volume touch on mechanism design issues, it is the formal modeling of bounded rationality that the authors are most interested in. A model of bounded rationality signifies a model that contains a procedural element of reasoning that is not consistent with full rationality. Rather than looking for a canonical model of bounded rationality, the articles introduce a variety of modeling devices that will capture procedural elements not previously considered, and which alter the analysis of the model. The book is a journey into the modeling of bounded rationality. It is a collection of modeling ideas rather than a general alternative theory of implementation.

Uncertainty Within Economic Models

Author : Lars Peter Hansen
Publisher : World Scientific
ISBN 13 : 9814578134
Total Pages : 483 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Uncertainty Within Economic Models by : Lars Peter Hansen

Download or read book Uncertainty Within Economic Models written by Lars Peter Hansen and published by World Scientific. This book was released on 2014-09-09 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by Lars Peter Hansen (Nobel Laureate in Economics, 2013) and Thomas Sargent (Nobel Laureate in Economics, 2011), Uncertainty within Economic Models includes articles adapting and applying robust control theory to problems in economics and finance. This book extends rational expectations models by including agents who doubt their models and adopt precautionary decisions designed to protect themselves from adverse consequences of model misspecification. This behavior has consequences for what are ordinarily interpreted as market prices of risk, but big parts of which should actually be interpreted as market prices of model uncertainty. The chapters discuss ways of calibrating agents' fears of model misspecification in quantitative contexts.

Language Of Game Theory, The: Putting Epistemics Into The Mathematics Of Games

Author : Adam Brandenburger
Publisher : World Scientific
ISBN 13 : 9814513458
Total Pages : 298 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Language Of Game Theory, The: Putting Epistemics Into The Mathematics Of Games by : Adam Brandenburger

Download or read book Language Of Game Theory, The: Putting Epistemics Into The Mathematics Of Games written by Adam Brandenburger and published by World Scientific. This book was released on 2014-03-12 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 — now called epistemic game theory — 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.

The Evolution of Senescence in the Tree of Life

Author : Richard P. Shefferson
Publisher : Cambridge University Press
ISBN 13 : 1108138608
Total Pages : 445 pages
Book Rating : 4.1/5 (81 download)

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Book Synopsis The Evolution of Senescence in the Tree of Life by : Richard P. Shefferson

Download or read book The Evolution of Senescence in the Tree of Life written by Richard P. Shefferson and published by Cambridge University Press. This book was released on 2017-02-23 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: The existing theories on the evolution of senescence assume that senescence is inevitable in all organisms. However, recent studies have shown that this is not necessarily true. A better understanding of senescence and its underlying mechanisms could have far-reaching consequences for conservation and eco-evolutionary research. This book is the first to offer interdisciplinary perspectives on the evolution of senescence in many species, setting the stage for further developments. It brings together new insights from a wide range of scientific fields and cutting-edge research done on a multitude of different animals (including humans), plants and microbes, giving the reader a complete overview of recent developments and of the controversies currently surrounding the topic. Written by specialists from a variety of disciplines, this book is a valuable source of information for students and researchers interested in ageing and life history traits and populations.