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Books > Science & Mathematics > Mathematics > Optimization > Game theory
The rise of game theory has made bargaining one of the core issues in economic theory. Written at a theoretical and conceptual level, the book develops a framework for the analysis of bargaining processes. The framework focuses on the dynamic of the bargaining process, which is in contrast to much previous theoretical work on the subject, and most notably to the approaches stemming from game theory. Chapters include: * Decision-Making and Expectations in Theories of Bargaining * Decision-Making and Expectations in a Game Theory Model * Limitations of the Environment Concept * Game Theory as a Basis for a Theory of Bargaining * The Decision/Expectation/adjustment Approach * The Adjustment Process * Direct Interdependence and the Consistency of Decisions
This textbook presents worked-out exercises on game theory with detailed step-by-step explanations. While most textbooks on game theory focus on theoretical results, this book focuses on providing practical examples in which students can learn to systematically apply theoretical solution concepts to different fields of economics and business. The text initially presents games that are required in most courses at the undergraduate level and gradually advances to more challenging games appropriate for graduate level courses. The first six chapters cover complete-information games, separately analyzing simultaneous-move and sequential-move games, with applications in industrial economics, law, and regulation. Subsequent chapters dedicate special attention to incomplete information games, such as signaling games, cheap talk games, and equilibrium refinements, emphasizing common steps and including graphical illustrations to focus students' attention on the most relevant payoff comparisons at each point of the analysis. In addition, exercises are ranked according to their difficulty, with a letter (A-C) next to the exercise number. This allows students to pace their studies and instructors to structure their classes accordingly. By providing detailed worked-out examples, this text gives students at various levels the tools they need to apply the tenets of game theory in many fields of business and economics. The second edition of the text has been revised to provide additional exercises at the introductory and intermediate level, expanding the scope of the book to be appropriate for upper undergraduate students looking to improve their understanding of the subject. The second edition also includes a new chapter devoted entirely to cheap talk games. Revised to appeal to a larger audience of instructors and students, this text is appropriate for introductory-to-intermediate courses in game theory at the upper undergraduate and graduate levels.
Many of today's most commercially successful videogames, from Call of Duty to Company of Heroes, are war-themed titles that play out in what are framed as authentic real-world settings inspired by recent news headlines or drawn from history. While such games are marketed as authentic representations of war, they often provide a selective form of realism that eschews problematic, yet salient aspects of war. In addition, changes in the way Western states wage and frame actual wars makes contemporary conflicts increasingly resemble videogames when perceived from the vantage point of Western audiences. This interdisciplinary volume brings together scholars from games studies, media and cultural studies, politics and international relations, and related fields to examine the complex relationships between military-themed videogames and real-world conflict, and to consider how videogames might deal with history, memory, and conflict in alternative ways. It asks: What is the role of videogames in the formation and negotiation of cultural memory of past wars? How do game narratives and designs position the gaming subject in relation to history, war and militarism? And how far do critical, anti-war/peace games offer an alternative or challenge to mainstream commercial titles?
This book describes highly applicable mathematics without using calculus or limits in general. The study agrees with the opinion that the traditional calculus/analysis is not necessarily the only proper grounding for academics who wish to apply mathematics. The choice of topics is based on a desire to present those facets of mathematics which will be useful to economists and social/behavioral scientists. The volume is divided into seven chapters. Chapter I presents a brief review of the solution of systems of linear equations by the use of matrices. Chapter III introduces the theory of probability. The rest of the book deals with new developments in mathematics such as linear and dynamic programming, the theory of networks and the theory of games. These developments are generally recognized as the most important field in the new mathematics' and they also have specific applications in the management sciences.
Dynamic optimization is rocket science and more. This volume teaches how to harness the modern theory of dynamic optimization to solve practical problems, not only from space flight but also in emerging social applications such as the control of drugs, corruption, and terror. These innovative domains are usefully thought about in terms of populations, incentives, and interventions, concepts which map well into the framework of optimal dynamic control. This volume is designed to be a lively introduction to the mathematics and a bridge to these hot topics in the economics of crime for current scholars. We celebrate Pontryagin s Maximum Principle that crowning intellectual achievement of human understanding and push its frontiers by exploring models that display multiple equilibria whose basins of attraction are separated by higher-dimensional DNSS "tipping points." That rich theory is complemented by numerical methods available through a companion web site."
This book both summarizes the basic theory of evolutionary games and explains their developing applications, giving special attention to the 2-player, 2-strategy game. This game, usually termed a "2x2 game" in the jargon, has been deemed most important because it makes it possible to posit an archetype framework that can be extended to various applications for engineering, the social sciences, and even pure science fields spanning theoretical biology, physics, economics, politics, and information science. The 2x2 game is in fact one of the hottest issues in the field of statistical physics. The book first shows how the fundamental theory of the 2x2 game, based on so-called replicator dynamics, highlights its potential relation with nonlinear dynamical systems. This analytical approach implies that there is a gap between theoretical and reality-based prognoses observed in social systems of humans as well as in those of animal species. The book explains that this perceived gap is the result of an underlying reciprocity mechanism called social viscosity. As a second major point, the book puts a sharp focus on network reciprocity, one of the five fundamental mechanisms for adding social viscosity to a system and one that has been a great concern for study by statistical physicists in the past decade. The book explains how network reciprocity works for emerging cooperation, and readers can clearly understand the existence of substantial mechanics when the term "network reciprocity" is used. In the latter part of the book, readers will find several interesting examples in which evolutionary game theory is applied. One such example is traffic flow analysis. Traffic flow is one of the subjects that fluid dynamics can deal with, although flowing objects do not comprise a pure fluid but, rather, are a set of many particles. Applying the framework of evolutionary games to realistic traffic flows, the book reveals that social dilemma structures lie behind traffic flow.
This book is focused on the discussion of the traffic assignment problem, the mathematical and practical meaning of variables, functions and basic principles. This work gives information about new approaches, methods and algorithms based on original methodological technique, developed by authors in their publications for the past several years, as well as corresponding prospective implementations. The book may be of interest to a wide range of readers, such as civil engineering students, traffic engineers, developers of traffic assignment algorithms etc. The obtained results here are to be used in both practice and theory. This book is devoted to the traffic assignment problem, formulated in a form of nonlinear optimization program. The most efficient solution algorithms related to the problem are based on its structural features and practical meaning rather than on standard nonlinear optimization techniques or approaches. The authors have carefully considered the meaning of the traffic assignment problem for efficient algorithms development.
The financial market melt-down of the years 2007-2009 has posed great challenges for studies on financial economics. This financial economics text focuses on the dynamic interaction of financial markets and economic activity. The financial market to be studied here encompasses the money and bond market, credit market, stock market and foreign exchange market; economic activity includes the actions and interactions of firms, banks, households, governments and countries. The book shows how economic activity affects asset prices and the financial market, and how asset prices and financial market volatility and crises impact economic activity. The book offers extensive coverage of new and advanced topics in financial economics such as the term structure of interest rates, credit derivatives and credit risk, domestic and international portfolio theory, multi-agent and evolutionary approaches, capital asset pricing beyond consumption-based models, and dynamic portfolio decisions. Moreover a completely new section of the book is dedicated to the recent financial market meltdown of the years 2007-2009. Emphasis is placed on empirical evidence relating to episodes of financial instability and financial crises in the U.S. and in Latin American, Asian and Euro-area countries. Overall, the book explains what researchers and practitioners in the financial sector need to know about the financial-real interaction, and what practitioners and policy makers need to know about the financial market.
Game Theory and the Law is a collection of previously published articles in which ideas from game theory and the economics of asymmetric information are applied to legal issues. Game theory's method is to simplify a situation by describing it in terms of players, actions, payoffs, after which the players' strategic interactions can be described. Whether used explicitly or implicitly, this is a highly useful approach to law. This important volume collects together the classic articles on the subject together with surveys of the approach and illustrative examples of the use of game theory in law.
Das im heutigen Berufsalltag so wichtige und allgegenwartige "treffsichere Umgehen" mit mathematischen Methoden und Modellen setzt voraus, dass Studierende die relevanten Werkzeuge kennen und verstehen, sie auswahlen und anwenden sowie erzielte Ergebnis (auf Plausibilitat) prufen, bewerten und je nach Bedarf auf andere Fragestellungen transferieren bzw. zum Problemloesen einsetzen koennen. Ausgehend von der Schulmathematik vermitteln die Autoren dem Leser diese berufsrelevanten Fertigkeiten didaktisch hervorragend und gut zuganglich. Dabei ist jedes Kapitel neben vielen Aufgaben mit Loesungen mit einem Eingangs- und einem Ausgangstest versehen, um eine effiziente Lernkontrolle zu ermoeglichen.
The wise win before they fight, while the ignorant fight to win. So wrote Zhuge Liang, the great Chinese military strategist. He was referring to battlefield tactics, but the same can be said about any strategic situation. Even seemingly certain defeat can be turned into victory whether in battle, business, or life by those with the strategic vision to recognize how to change the game to their own advantage. The aim of David McAdams s Game-Changer is nothing less than to empower you with this wisdom not just to win in every strategic situation (or game ) you face but to change those games and the ecosystems in which they reside to transform your life and our lives together for the better. Game-Changer develops six basic ways to change games commitment, regulation, cartelization, retaliation, trust, and relationships enlivened by countless colorful characters and unforgettable examples from the worlds of business, medicine, finance, military history, crime, sports, and more. The book then digs into several real-world strategic challenges, such as how to keep prices low on the Internet, how to restore the public s lost trust in for-charity telemarketers, and even how to save mankind from looming and seemingly unstoppable drug-resistant disease. In each case, McAdams uses the game-theory approach developed in the book to identify the strategic crux of the problem and then leverages that game-awareness to brainstorm ways to change the game to solve or at least mitigate the underlying problem. So get ready for a fascinating journey. You ll emerge a deeper strategic thinker, poised to change and win all the games you play. In doing so, you can also make the world a better place. Just one Game-Changer is] enough to seed and transform an entire organization into a more productive, happier, and altogether better place, McAdams writes. Just imagine what we can do together."
This book analyzes the following four distinct, although not dissimilar, areas of social choice theory and welfare economics: nonstrategic choice, Harsanyi's aggregation theorems, distributional ethics and strategic choice. While for aggregation of individual ranking of social states, whether the persons behave strategically or non-strategically, the decision making takes place under complete certainty; in the Harsanyi framework uncertainty has a significant role in the decision making process. Another ingenious characteristic of the book is the discussion of ethical approaches to evaluation of inequality arising from unequal distributions of achievements in the different dimensions of human well-being. Given its wide coverage, combined with newly added materials, end-chapter problems and bibliographical notes, the book will be helpful material for students and researchers interested in this frontline area research. Its lucid exposition, along with non-technical and graphical illustration of the concepts, use of numerical examples, makes the book a useful text.
In the quarter of a century since three mathematicians and game theorists collaborated to create Winning Ways for Your Mathematical Plays, the book has become the definitive work on the subject of mathematical games. Now carefully revised and broken down into four volumes to accommodate new developments, the Second Edition retains the original's wealth of wit and wisdom. The authors' insightful strategies, blended with their witty and irreverent style, make reading a profitable pleasure. In Volume 2, the authors have a Change of Heart, bending the rules established in Volume 1 to apply them to games such as Cut-cake and Loopy Hackenbush. From the Table of Contents: - If You Can't Beat 'Em, Join 'Em! - Hot Bottles Followed by Cold Wars - Games Infinite and Indefinite - Games Eternal--Games Entailed - Survival in the Lost World
Gaming the Market: Applying Game Theory to Create Winning Trading Strategies is the first book to show investors how game theory is applicable to decisions about buying and selling stocks, bonds, mutual funds, futures, and options. As a practical trading guide, Gaming the Market will help investors master this revolutionary approach, and employ it to their advantage. Although game theory has been studied since the 1940s, it has only recently been applied to the world of finance. Game theory champions garnered the 1994 Nobel Prize in Economics, and, today, this theory is used to analyze everything from the baseball strike to FCC auctions. Increasingly, game theory is making its mark as a potent tool for traders. In Gaming the Market, economist Ronald B. Shelton provides a model that enables traders to predict profitability and, as a result, make effective buy and sell decisions. Stated simply, game theory is the study of conflict based on a formal approach to decision making that views decisions as choices made in a game. Whether playing individually or in a group, each player in a conflict has more than one course of action available to him, and the outcome of the "game" depends on the interaction of the strategies pursued by each. Shelton offers real-world examples that reveal how the principles of game theory drive financial markets --and how these same principles can be used to develop winning investment strategies. Through Shelton's organized and precise explanations--he uses familiar games such as chess and checkers to illustrate his points --readers gain a solid understanding of the key principles of game theory before applying them to actual financial market situations. Gaming the Market examines the interaction between price fluctuations and risk acceptance levels and gradually constructs a game theory model which proves that there are probability-based formulas for determining the profitability of any given trade. With appendixes on T-Bond futures, mathematical representations of the model, and QuickBasic code for calculating relative frequencies, Gaming the Market provides a thorough overview of the rules and strategies of game theory. This indispensable reference will prove invaluable to novice and seasoned players alike. Are the markets a game? What are the rules? Who are the players? How can you, as a player, come up with a winning strategy? Now, acclaimed economist Ronald B. Shelton shows you how to master the power of game theory in the first trader's guide to this revolutionary approach to investment decisions! "It's not often that a refreshingly new idea appears in the field of trading strategies or risk management, but Ronald B. Shelton has taken pieces from game theory and betting strategies and transformed them into a new, visual way to make trading decisions. . . . He has been able to put a value on trading situations which can increase your ability to manage risk as well as clarify expectations --both essential ingredients for success." --from the Foreword by Perry Kaufman author of The New Commodity Trading Systems and Methods. "Gaming the Market is a very welcome and most useful new guide to playing profitably in the biggest and most complex game ever devised -- speculating in the financial markets. Investors and traders who study this book will gain valuable insights into the real nature of the markets and willlearn how to play the game to win." --Thomas A. Bierovic, President, Synergy Futures. "Ronald B. Shelton has extended the field of excursion analysis with an innovative and provocative book that is sure to be widely read--and controversial. By examining the actual distributions of price excursion, he shows a technique to estimate your odds going in on a new position, and within the context of game theory, how to evaluate those chances. All traders and analysts seeking objective bases for trading will want to read this book." --John Sweeney, Technical Editor, Technical Analysis of Stocks and Commodities magazine.
In this concise book based on his Arne Ryde Lectures in 2002, Young suggests a conceptual framework for studying strategic learning and highlights theoretical developments in the area. He discusses the interactive learning problem; reinforcement and regret; equilibrium; conditional no-regret learning; prediction, postdiction, and calibration; fictitious play and its variants; Bayesian learning; and hypothesis testing. Young's framework emphasizes the amount of information required to implement different types of learning rules, criteria for evaluating their performance, and alternative notions of equilibrium to which they converge. He also stresses the limits of what can be achieved: for a given type of game and a given amount of information, there may exist no learning procedure that satisfies certain reasonable criteria of performance and convergence. In short, Young has provided a valuable primer that delineates what we know, what we would like to know, and the limits of what we can know, when we try to learn about a system that is composed of other learners.
A host of digital affordances, including reduced cost production tools, open distribution platforms, and ubiquitous connectivity, have engendered the growth of indie games among makers and users, forcing critics to reconsider the question of who makes games and why. Taking seriously this new mode of cultural produciton compells analysts to reconsider the blurred boundaries and relations of makers, users and texts as well as their respective relationship to cultural power and hierarchy. The contributions to Indie Games in the Digital Age consider these questions and examine a series of firms, makers, games and scenes, ranging from giants like Nintendo and Microsoft to grassroots games like Cards Against Humanity and Stardew Valley, to chart more precisely the productive and instructive disruption that this new site of cultural production offers.
Joel Watson has refined his successful text to make it even more student-friendly. A number of sections have been added, and numerous chapters have been substantially revised. Dozens of new exercises have been added, along with solutions to selected exercises. Chapters are short and focused, with just the right amount of mathematical content and end-of-chapter exercises. New passages walk students through tricky topics.
Agent systems are being used to model complex systems like societies, markets and biological systems. In this book we investigate issues of agent systems related to convergence and interactivity using techniques from agent based modelling to simulate complex systems, and demonstrate that interactivity/exchange and convergence in multi-agent systems are issues that are significantly interrelated. Topic and features: - Introduces the state of the art in multi-agent systems, with an emphasis on agent-based computational economics. - Sheds light on the fundamental concepts behind the stability of multi-agent systems. - Investigates knowledge exchange among agents, the rationale behind it and its effects on the ecosystem. - Explores how information provided through interaction with the system can be used to optimise its performance. - Describes a pricing strategy for a realistic large-scale distributed system. This book supplies a comprehensive resource and will be invaluable reading for researchers and postgraduates studying this topic.
This volume brings together the collected contributions of Dirk Bergemann and Juuso Valimaki, on the theme of learning, experimentation and intertemporal incentives, spanning over two decades of thought (1996 to 2019).The collection starts with a comprehensive introduction to the recent developments of dynamic mechanism design with a primary focus on the quasilinear case. The authors describe socially optimal and revenue optimal dynamic mechanism. They cover models of sequential screening and revenue maximizing auctions with dynamically changing bidder types, and also discuss models of information management where the mechanism designer can control (at least partially) the stochastic process governing the agent's types.Consolidating the research agenda on learning, experimentation, and dynamic mechanism design, which has been prominent in the area of economic theory, the authors present for the first time the main results of the research agenda in this volume.
In this book, different quantitative approaches to the study of electoral systems have been developed: game-theoretic, decision-theoretic, statistical, probabilistic, combinatorial, geometric, and optimization ones. All the authors are prominent scholars from these disciplines. Quantitative approaches offer a powerful tool to detect inconsistencies or poor performance in actual systems. Applications to concrete settings such as EU, American Congress, regional, and committee voting are discussed.
This book develops a mathematical framework for modeling and
optimizing interference-coupled multiuser systems. At the core of
this framework is the concept of general interference functions,
which provides a simple means of characterizing interdependencies
between users. The entire analysis builds on the two core axioms
scale-invariance and monotonicity.
An invaluable study aid for students of game theory Solutions Manual to accompany Game Theory: An Introduction, 2nd Edition provides complete explanations and fully worked solutions for the problems posed in the text. Although designed as a supplement to Game Theory, this solutions guide is versatile enough to act as an independent review of key topics, regardless of which textbook you are using. Each solution includes the original question as well as all given data, and clear, concise language describes the approach and reasoning that yields the correct solution.
The purpose of this book is to present unpublished papers at the cutting edge of research on dialetheism and to reflect recent work on the applications of the theory. It includes contributions from some of the most respected scholars in the field, as well as from young, up-and-coming philosophers working on dialetheism. Moving from the fringes of philosophy to become a main player in debates concerning truth and the logical paradoxes, dialetheism has thrived since the publication of Graham Priest's In Contradiction, and several of the papers find their roots in a conference on dialetheism held in Glasgow to mark the 25th anniversary of Priest's book. The content presented here demonstrates the considerable body of work produced in this field in recent years. With a broad focus, this book also addresses the applications of dialetheism outside the more familiar area of the logical paradoxes, and includes pieces discussing the application of dialetheism in metaphysics, philosophy of language, and philosophy of mind.
Electoral promises help to win votes and political candidates, or parties should strategically choose what they can deliver to win an election. Past game-theoretical studies tend to ignore electoral promises and this book sheds illuminating light on the functions and effects of electoral promises on policies or electoral outcomes through game theory models. This book provides a basic framework for game-theoretical analysis of electoral promises. The book also includes cases to illustrate real life applications of these theories. |
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