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Books > Science & Mathematics > Mathematics > Optimization > Game theory

The Infinite Game - How Great Businesses Achieve Long-Lasting Success (Hardcover): Simon Sinek The Infinite Game - How Great Businesses Achieve Long-Lasting Success (Hardcover)
Simon Sinek 1
R365 R286 Discovery Miles 2 860 Save R79 (22%) In stock

The New York Times-bestselling author of Start With Why, Leaders Eat Last, and Together Is Better offers a bold new approach to business strategy by asking one question: are you playing the finite game or the infinite game?

In The Infinite Game, Sinek applies game theory to explore how great businesses achieve long-lasting success. He finds that building long-term value and healthy, enduring growth - that playing the infinite game - is the only thing that matters to your business.

Mathematical Methods of Game and Economic Theory (Paperback, Revised ed.): Jean-Pierre Aubin Mathematical Methods of Game and Economic Theory (Paperback, Revised ed.)
Jean-Pierre Aubin
R649 R510 Discovery Miles 5 100 Save R139 (21%) Shipped within 7 - 11 working days

Mathematical economics and game theory approached with the fundamental mathematical toolbox of nonlinear functional analysis are the central themes of this text. Its central application is the fundamental economic problem of allocating scarce resources among competing agents, which leads to considerations of the interrelated applications in game theory and the theory of optimization. 1982 edition.

Positional Games (Paperback, 2014 ed.): Dan Hefetz, Michael Krivelevich, Milos Stojakovic, Tibor Szabo Positional Games (Paperback, 2014 ed.)
Dan Hefetz, Michael Krivelevich, Milos Stojakovic, Tibor Szabo
R521 R452 Discovery Miles 4 520 Save R69 (13%) Shipped within 7 - 11 working days

This text is based on a lecture course given by the authors in the framework of Oberwolfach Seminars at the Mathematisches Forschungsinstitut Oberwolfach in May, 2013. It is intended to serve as a thorough introduction to the rapidly developing field of positional games. This area constitutes an important branch of combinatorics, whose aim it is to systematically develop an extensive mathematical basis for a variety of two player perfect information games. These ranges from such popular games as Tic-Tac-Toe and Hex to purely abstract games played on graphs and hypergraphs. The subject of positional games is strongly related to several other branches of combinatorics such as Ramsey theory, extremal graph and set theory, and the probabilistic method. These notes cover a variety of topics in positional games, including both classical results and recent important developments. They are presented in an accessible way and are accompanied by exercises of varying difficulty, helping the reader to better understand the theory.The text will benefit both researchers and graduate students in combinatorics and adjacent fields."

Contest Theory - Incentive Mechanisms and Ranking Methods (Hardcover): Milan Vojnovic Contest Theory - Incentive Mechanisms and Ranking Methods (Hardcover)
Milan Vojnovic
R1,355 R1,285 Discovery Miles 12 850 Save R70 (5%) Shipped within 7 - 12 working days

Contests are prevalent in many areas, including sports, rent seeking, patent races, innovation inducement, labor markets, scientific projects, crowdsourcing and other online services, and allocation of computer system resources. This book provides unified, comprehensive coverage of contest theory as developed in economics, computer science, and statistics, with a focus on online services applications, allowing professionals, researchers and students to learn about the underlying theoretical principles and to test them in practice. The book sets contest design in a game-theoretic framework that can be used to model a wide-range of problems and efficiency measures such as total and individual output and social welfare, and offers insight into how the structure of prizes relates to desired contest design objectives. Methods for rating the skills and ranking of players are presented, as are proportional allocation and similar allocation mechanisms, simultaneous contests, sharing utility of productive activities, sequential contests, and tournaments.

The Politics of the First World War - A Course in Game Theory and International Security (Paperback): Scott Wolford The Politics of the First World War - A Course in Game Theory and International Security (Paperback)
Scott Wolford
R804 Discovery Miles 8 040 Shipped within 7 - 12 working days

The Great War is an immense, confusing and overwhelming historical conflict - the ideal case study for teaching game theory and international relations. Using thirteen historical puzzles, from the outbreak of the war and the stability of attrition, to unrestricted submarine warfare and American entry into the war, this book provides students with a rigorous yet accessible training in game theory. Each chapter shows, through guided exercises, how game theoretical models can explain otherwise challenging strategic puzzles, shedding light on the role of individual leaders in world politics, cooperation between coalitions partners, the effectiveness of international law, the termination of conflict, and the challenges of making peace. Its analytical history of World War I also surveys cutting edge political science research on international relations and the causes of war. Written by a leading game theorist known for his expertise of the war, this textbook includes useful student features such as chapter key terms, contemporary maps, a timeline of events, a list of key characters and additional end-of-chapter game-theoretic exercises.

Chicago Price Theory (Hardcover): Sonia Jaffe, Robert Minton, Casey B. Mulligan, Kevin M. Murphy Chicago Price Theory (Hardcover)
Sonia Jaffe, Robert Minton, Casey B. Mulligan, Kevin M. Murphy
R1,070 R858 Discovery Miles 8 580 Save R212 (20%) Shipped within 7 - 12 working days

An authoritative textbook based on the legendary economics course taught at the University of Chicago Price theory is a powerful analytical toolkit for measuring, explaining, and predicting human behavior in the marketplace. This incisive textbook provides an essential introduction to the subject, offering a diverse array of practical methods that empower students to learn by doing. Based on Economics 301, the legendary PhD course taught at the University of Chicago, the book emphasizes the importance of applying price theory in order to master its concepts. Chicago Price Theory features immersive chapter-length examples such as addictive goods, urban-property pricing, the consequences of prohibition, the value of a statistical life, and occupational choice. It looks at human behavior in the aggregate of an industry, region, or demographic group, but also provides models of individuals when they offer insights about the aggregate. The book explains the surprising answers that price theory can provide to practical questions about taxation, education, the housing market, government subsidies, and much more. Emphasizes the application of price theory, enabling students to learn by doing Features chapter-length examples such as addictive goods, urban-property pricing, the consequences of prohibition, and the value of a statistical life Supported by video lectures taught by Kevin M. Murphy and Gary Becker The video course enables students to learn the theory at home and practice the applications in the classroom

General Equilibrium and Game Theory - Ten Papers (Hardcover): Andreu Mas-Colell General Equilibrium and Game Theory - Ten Papers (Hardcover)
Andreu Mas-Colell
R969 R907 Discovery Miles 9 070 Save R62 (6%) Shipped within 7 - 12 working days

Andreu Mas-Colell revolutionized our understanding of competitive markets, price formation, and the behavior of market participants. General Equilibrium and Game Theory offers readers a compendium of his most important scholarly contributions, gathering in a single volume the groundbreaking papers that have solidified his standing as one of the preeminent economic theorists of our time. Built upon the foundations of neoclassical economics, Mas-Colell's work is distinguished by a mathematical and analytical elegance that brings theory closer to real-world situations. He overturns the standard assumption of general equilibrium theory-that markets are perfectly competitive and their participants are perfectly rational-and concludes that neither the law of supply and demand nor the existence of equilibrium prices depends on the rationality of agents. Similarly, Mas-Colell (working with Sergiu Hart) challenges classical game theory's reliance on rational behavior, demonstrating that adaptation and learning shape the dynamics of repeated games. Addressing central questions of finance, trade, industrial organization, and welfare economics, Mas-Colell shows the surprising power and versatility of differentiability and linear-space mathematical techniques, and he emphasizes the fruitfulness of cooperative game-theory approaches, such as Shapley value theory and the Bargaining Set, for understanding competition and distribution. General Equilibrium and Game Theory is a signal contribution to economic theory and an invaluable resource for anyone wishing to study the craft of a master of economic modeling.

Loose-Leaf Version for for All Practical Purposes (Loose-leaf, 10th ed.): Comap Loose-Leaf Version for for All Practical Purposes (Loose-leaf, 10th ed.)
Comap
R3,434 Discovery Miles 34 340 Shipped within 7 - 11 working days
Game Theory (Hardcover): Michael Maschler, Eilon Solan, Shmuel Zamir Game Theory (Hardcover)
Michael Maschler, Eilon Solan, Shmuel Zamir
R1,489 Discovery Miles 14 890 Shipped within 7 - 12 working days

Covering both noncooperative and cooperative games, this comprehensive introduction to game theory also includes some advanced chapters on auctions, games with incomplete information, games with vector payoffs, stable matchings and the bargaining set. Mathematically oriented, the book presents every theorem alongside a proof. The material is presented clearly and every concept is illustrated with concrete examples from a broad range of disciplines. With numerous exercises the book is a thorough and extensive guide to game theory from undergraduate through graduate courses in economics, mathematics, computer science, engineering and life sciences to being an authoritative reference for researchers.

How to Divide When There Isn't Enough - From Aristotle, the Talmud, and Maimonides to the Axiomatics of Resource... How to Divide When There Isn't Enough - From Aristotle, the Talmud, and Maimonides to the Axiomatics of Resource Allocation (Paperback)
William Thomson
R980 Discovery Miles 9 800 Shipped within 7 - 12 working days

How to Divide When There Isn't Enough develops a rigorous yet accessible presentation of the state-of-the-art for the adjudication of conflicting claims and the theory of taxation. It covers all aspects one may wish to know about claims problems: the most important rules, the most important axioms, and how these two sets are related. More generally, it also serves as an introduction to the modern theory of economic design, which in the last twenty years has revolutionized many areas of economics, generating a wide range of applicable allocations rules that have improved people's lives in many ways. In developing the theory, the book employs a variety of techniques that will appeal to both experts and non-experts. Compiling decades of research into a single framework, William Thomson provides numerous applications that will open a large number of avenues for future research.

Quantal Response Equilibrium - A Stochastic Theory of Games (Hardcover): Jacob K. Goeree, Charles A. Holt, Thomas R. Palfrey Quantal Response Equilibrium - A Stochastic Theory of Games (Hardcover)
Jacob K. Goeree, Charles A. Holt, Thomas R. Palfrey
R1,127 R851 Discovery Miles 8 510 Save R276 (24%) Shipped within 7 - 12 working days

Quantal Response Equilibrium presents a stochastic theory of games that unites probabilistic choice models developed in psychology and statistics with the Nash equilibrium approach of classical game theory. Nash equilibrium assumes precise and perfect decision making in games, but human behavior is inherently stochastic and people realize that the behavior of others is not perfectly predictable. In contrast, QRE models choice behavior as probabilistic and extends classical game theory into a more realistic and useful framework with broad applications for economics, political science, management, and other social sciences. Quantal Response Equilibrium spans the range from basic theoretical foundations to examples of how the principles yield useful predictions and insights in strategic settings, including voting, bargaining, auctions, public goods provision, and more. The approach provides a natural framework for estimating the effects of behavioral factors like altruism, reciprocity, risk aversion, judgment fallacies, and impatience. New theoretical results push the frontiers of models that include heterogeneity, learning, and well-specified behavioral modifications of rational choice and rational expectations. The empirical relevance of the theory is enhanced by discussion of data from controlled laboratory experiments, along with a detailed users' guide for estimation techniques. Quantal Response Equilibrium makes pioneering game-theoretic methods and interdisciplinary applications available to a wide audience.

Game Theory and Public Policy (Paperback, 2nd Revised edition): Roger A. McCain Game Theory and Public Policy (Paperback, 2nd Revised edition)
Roger A. McCain
R683 Discovery Miles 6 830 Shipped within 7 - 12 working days

Building on the success of the first edition, Game Theory and Public Policy, Second Edition provides a critical, selective review of key concepts in game theory with a view to their applications in public policy. The author further suggests modifications for some of the models (chiefly in cooperative game theory) to improve their applicability to economics and public policy. Roger McCain makes use of the analytical tools of game theory for the pragmatic purpose of identifying problems and exploring potential solutions, providing a toolkit for the analysis of public policy allowing for a clearer understanding of the public policy enterprise itself. His critical review of major topics from both cooperative and non-cooperative game theory includes less-known ideas and constructive proposals for new approaches. This revised edition features a new second half that focuses on biform games, combining cooperative and non-cooperative decisions in a simple and natural way to provide a working model of externalities that can be applied to issues such as monopoly policy and labor market policies. Drawing on comparatively well understood models in cooperative game theory and the author's own research on mathematical models of biform games, this unique approach and treatment of game theory, updated and expanded to stay on the cutting edge, will be a useful resource for students and scholars of economics and public policy, as well as for policymakers themselves.

Markets, Games, and Strategic Behavior - An Introduction to Experimental Economics (Second Edition) (Hardcover, 2nd School... Markets, Games, and Strategic Behavior - An Introduction to Experimental Economics (Second Edition) (Hardcover, 2nd School edition)
Charles A. Holt
R1,704 R1,209 Discovery Miles 12 090 Save R495 (29%) Shipped within 7 - 12 working days

From a pioneer in experimental economics, an expanded and updated edition of a textbook that brings economic experiments into the classroom Economics is rapidly becoming a more experimental science, and the best way to convey insights from this research is to engage students in classroom simulations that motivate subsequent discussions and reading. In this expanded and updated second edition of Markets, Games, and Strategic Behavior, Charles Holt, one of the leaders in experimental economics, provides an unparalleled introduction to the study of economic behavior, organized around risky decisions, games of strategy, and economic markets that can be simulated in class. Each chapter is based on a key experiment, presented with accessible examples and just enough theory. Featuring innovative applications from the lab and the field, the book introduces new research on a wide range of topics. Core chapters provide an introduction to the experimental analysis of markets and strategic decisions made in the shadow of risk or conflict. Instructors can then pick and choose among topics focused on bargaining, game theory, social preferences, industrial organization, public choice and voting, asset market bubbles, and auctions. Based on decades of teaching experience, this is the perfect book for any undergraduate course in experimental economics or behavioral game theory. New material on topics such as matching, belief elicitation, repeated games, prospect theory, probabilistic choice, macro experiments, and statistical analysis Participatory experiments that connect behavioral theory and laboratory research Largely self-contained chapters that can each be covered in a single class Guidance for instructors on setting up classroom experiments, with either hand-run procedures or free online software End-of-chapter problems, including some conceptual-design questions, with hints or partial solutions provided

Ignorance and Uncertainty (Paperback): Olivier Compte, Andrew Postlewaite Ignorance and Uncertainty (Paperback)
Olivier Compte, Andrew Postlewaite
R640 Discovery Miles 6 400 Shipped within 7 - 12 working days

Born of a belief that economic insights should not require much mathematical sophistication, this book proposes novel and parsimonious methods to incorporate ignorance and uncertainty into economic modeling, without complex mathematics. Economics has made great strides over the past several decades in modeling agents' decisions when they are incompletely informed, but many economists believe that there are aspects of these models that are less than satisfactory. Among the concerns are that ignorance is not captured well in most models, that agents' presumed cognitive ability is implausible, and that derived optimal behavior is sometimes driven by the fine details of the model rather than the underlying economics. Compte and Postlewaite lay out a tractable way to address these concerns, and to incorporate plausible limitations on agents' sophistication. A central aspect of the proposed methodology is to restrict the strategies assumed available to agents.

Game Theory and Public Policy (Hardcover, 2nd Revised edition): Roger A. McCain Game Theory and Public Policy (Hardcover, 2nd Revised edition)
Roger A. McCain
R2,309 Discovery Miles 23 090 Shipped within 7 - 12 working days

Building on the success of the first edition, Game Theory and Public Policy, Second Edition provides a critical, selective review of key concepts in game theory with a view to their applications in public policy. The author further suggests modifications for some of the models (chiefly in cooperative game theory) to improve their applicability to economics and public policy. Roger McCain makes use of the analytical tools of game theory for the pragmatic purpose of identifying problems and exploring potential solutions, providing a toolkit for the analysis of public policy allowing for a clearer understanding of the public policy enterprise itself. His critical review of major topics from both cooperative and non-cooperative game theory includes less-known ideas and constructive proposals for new approaches. This revised edition features a new second half that focuses on biform games, combining cooperative and non-cooperative decisions in a simple and natural way to provide a working model of externalities that can be applied to issues such as monopoly policy and labor market policies. Drawing on comparatively well understood models in cooperative game theory and the author's own research on mathematical models of biform games, this unique approach and treatment of game theory, updated and expanded to stay on the cutting edge, will be a useful resource for students and scholars of economics and public policy, as well as for policymakers themselves.

Game Theory - A Playful Introduction (Paperback): Matt DeVos, Deborah A. Kent Game Theory - A Playful Introduction (Paperback)
Matt DeVos, Deborah A. Kent
R1,139 R959 Discovery Miles 9 590 Save R180 (16%) Shipped within 7 - 12 working days

This book offers a gentle introduction to the mathematics of both sides of game theory: combinatorial and classical. The combination allows for a dynamic and rich tour of the subject united by a common theme of strategic reasoning. The first four chapters develop combinatorial game theory, beginning with an introduction to game trees and mathematical induction, then investigating the games of Nim and Hackenbush. The analysis of these games concludes with the cornerstones of the Sprague-Grundy Theorem and the Simplicity Principle. The last eight chapters of the book offer a scenic journey through the mathematical highlights of classical game theory. This contains a thorough treatment of zero-sum games and the von Neumann Minimax Theorem, as well as a student-friendly development and proof of the Nash Equilibrium Theorem. The Folk Theorem, Arrow's voting paradox, evolutionary biology, cake cutting, and other engaging auxiliary topics also appear. The book is designed as a textbook for an undergraduate mathematics class. With ample material and limited dependencies between the chapters, the book is adaptable to a variety of situations and a range of audiences. Instructors, students, and independent readers alike will appreciate the flexibility in content choices as well as the generous sets of exercises at various levels.

Game Theory and International Environmental Cooperation - Essential Readings (Hardcover): Michael Finus, Alejandro Caparros Game Theory and International Environmental Cooperation - Essential Readings (Hardcover)
Michael Finus, Alejandro Caparros
R9,299 Discovery Miles 92 990 Shipped within 7 - 12 working days

Key environmental issues, such as biodiversity and climate change, have in recent years become more pressing than ever. Where the critical papers in the early 1990s explained the difficulties of cooperation in tackling transboundary environmental problems, later works have analyzed the various alternatives, and increased our understanding of various institutional designs and negotiation protocols' impact on the success of cooperation. This collection brings together the most important articles on the game theoretic analysis of international environmental cooperation to both confront the cooperative and non-cooperative approaches to this, and demonstrate the diversity of methods used to analyze international environmental agreements.

Cycles, Crises and Innovation - Path to Sustainable Development - a Kaleckian-Schumpeterian Synthesis (Hardcover): Jerry... Cycles, Crises and Innovation - Path to Sustainable Development - a Kaleckian-Schumpeterian Synthesis (Hardcover)
Jerry Courvisanos
R2,429 Discovery Miles 24 290 Shipped within 7 - 12 working days

Cycles, crises and innovation are the major economic forces that shape capitalist economies. Using a critical realist political economy approach, the analysis in this fine work is based on the works of Michal Kalecki and Joseph Schumpeter - both of whom identify these three dynamic forces as plotting the path of economic development. Jerry Courvisanos' thought-provoking book examines how the rise of capital through investment enshrines innovation in profit and power which in turn determines the course of cycles and crises. The author concludes by arguing for strategic intervention by transformative eco-innovation as a public policy path to ecologically sustainable development. This interdisciplinary book will appeal to economists, innovation and entrepreneurship-based scholars, postgraduate students studying the political economy of both innovation and entrepreneurship, regional development planners and economic development policymakers. Anyone with a general interest in economics, politics and innovation or looking for a path out of the economic and ecological morass of current capitalism, will also find much to interest them in this book.

The Art of Strategy - A Game Theorist's Guide to Success in Business and Life (Paperback): Avinash K. Dixit, Barry J.... The Art of Strategy - A Game Theorist's Guide to Success in Business and Life (Paperback)
Avinash K. Dixit, Barry J. Nalebuff
R385 R298 Discovery Miles 2 980 Save R87 (23%) Shipped within 7 - 12 working days

Game theory means rigorous strategic thinking. It s the art of anticipating your opponent s next moves, knowing full well that your rival is trying to do the same thing to you. Though parts of game theory involve simple common sense, much is counterintuitive, and it can only be mastered by developing a new way of seeing the world. Using a diverse array of rich case studies from pop culture, TV, movies, sports, politics, and history the authors show how nearly every business and personal interaction has a game-theory component to it. Mastering game theory will make you more successful in business and life, and this lively book is the key to that mastery."

Games of No Chance 5 (Hardcover): Urban Larsson Games of No Chance 5 (Hardcover)
Urban Larsson
R2,438 Discovery Miles 24 380 Shipped within 7 - 12 working days

This book surveys the state-of-the-art in the theory of combinatorial games, that is games not involving chance or hidden information. Enthusiasts will find a wide variety of exciting topics, from a trailblazing presentation of scoring to solutions of three piece ending positions of bidding chess. Theories and techniques in many subfields are covered, such as universality, Wythoff Nim variations, misere play, partizan bidding (a.k.a. Richman games), loopy games, and the algebra of placement games. Also included are an updated list of unsolved problems, extremely efficient algorithms for taking and breaking games, a historical exposition of binary numbers and games by David Singmaster, chromatic Nim variations, renormalization for combinatorial games, and a survey of temperature theory by Elwyn Berlekamp, one of the founders of the field. The volume was initiated at the Combinatorial Game Theory Workshop, January 2011, held at the Banff International Research Station.

Bargaining and the Theory of Cooperative Games: John Nash and Beyond (Hardcover): William L. Thomson Bargaining and the Theory of Cooperative Games: John Nash and Beyond (Hardcover)
William L. Thomson
R7,424 Discovery Miles 74 240 Shipped within 7 - 12 working days

Building on the pioneering work by the Nobel Memorial Laureate, John Nash, Professor Thomson has brought together a broad selection of seminal articles which analyse and discuss bargaining and the theory of cooperative games. Beginning with a distinguished collection of papers discussing the origins of game theory, this volume systematically explores its development as a tool to illuminate economic behaviour. It includes the work of highly accomplished academics whose discoveries over the years have shaped the direction of this subject. With his insightful introduction, the editor has ensured that this indispensable book is suitable for anyone with an interest in cooperative gaming.

Paris-Princeton Lectures on Mathematical Finance 2013 - Editors: Vicky Henderson, Ronnie Sircar (Paperback, 2013 ed.): Ronnie... Paris-Princeton Lectures on Mathematical Finance 2013 - Editors: Vicky Henderson, Ronnie Sircar (Paperback, 2013 ed.)
Ronnie Sircar, Vicky Henderson; Fred Espen Benth, Dan Crisan, Paolo Guasoni, …
R1,823 R1,478 Discovery Miles 14 780 Save R345 (19%) Shipped within 7 - 12 working days

The current volume presents four chapters touching on some of the most important and modern areas of research in Mathematical Finance: asset price bubbles (by Philip Protter); energy markets (by Fred Espen Benth); investment under transaction costs (by Paolo Guasoni and Johannes Muhle-Karbe); and numerical methods for solving stochastic equations (by Dan Crisan, K. Manolarakis and C. Nee).The Paris-Princeton Lecture Notes on Mathematical Finance, of which this is the fifth volume, publish cutting-edge research in self-contained, expository articles from renowned specialists. The aim is to produce a series of articles that can serve as an introductory reference source for research in the field.

Game Theory - A Nontechnical Introduction (Paperback): Morton D. Davis Game Theory - A Nontechnical Introduction (Paperback)
Morton D. Davis
R217 R178 Discovery Miles 1 780 Save R39 (18%) Shipped within 7 - 12 working days

Fascinating, accessible introduction to enormously important intellectual system with numerous applications to social, economic, political problems. Newly revised edition offers overview of game theory, then lucid coverage of the two-person zero-sum game with equilibrium points; the general, two-person zero-sum game; utility theory; other topics. Problems at start of each chapter. Foreword to First Edition by Oskar Morgenstern. Bibliography.

Differential Forms (Paperback, Dover ed): Henri Cartan Differential Forms (Paperback, Dover ed)
Henri Cartan
R286 R232 Discovery Miles 2 320 Save R54 (19%) Shipped within 7 - 11 working days

Addressed to 2nd- and 3rd-year students, this work by a world-famous teacher skillfully spans the pure and applied branches, so that applied aspects gain in rigor while pure mathematics loses none of its dignity. Equally essential as a text, a reference, or simply as a brilliant mathematical exercise. 1971 edition.

Game Theory and the Law (Hardcover): Eric B. Rasmusen Game Theory and the Law (Hardcover)
Eric B. Rasmusen
R5,926 Discovery Miles 59 260 Shipped within 7 - 12 working days

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.

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