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Computer science and economics have engaged in a lively interaction over the past fifteen years, resulting in the new field of algorithmic game theory. Many problems that are central to modern computer science, ranging from resource allocation in large networks to online advertising, involve interactions between multiple self-interested parties. Economics and game theory offer a host of useful models and definitions to reason about such problems. The flow of ideas also travels in the other direction, and concepts from computer science are increasingly important in economics. This book grew out of the author's Stanford University course on algorithmic game theory, and aims to give students and other newcomers a quick and accessible introduction to many of the most important concepts in the field. The book also includes case studies on online advertising, wireless spectrum auctions, kidney exchange, and network management.
Game theory. --- Algorithms. --- Algorism --- Algebra --- Arithmetic --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Foundations
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Behavioral science books are popping up on bestseller lists: Predictably Irrational; Thinking, Fast and Slow; Nudge; Decisive. Even the White House launched a Behavioral Insights Team to match the British Ministry of Nudges. Conspicuously absent from this conversation is the church. The Irrational Jesus bridges this gap. Ken Evers-Hood looks at Jesus through the lens of cognitive heuristics (mental shortcuts) and biases (blind spots) and makes the case that a fully human Jesus is predictably irrational--just like all of us. Find out how the Apostle Paul's community building mirrors a prisoner's dilemma game and how this makes Paul an irrational leader, too. Discover how playing better games in church can foster hopeful, flourishing communities. Improve your decision-making; learn when to plan for irrationality and when to live into it. The Irrational Jesus addresses these issues and more. Integrating the insights of behavioral economists such as Dan Ariely, the gameful thinking of Jane McGonigal, and cutting-edge ideas from decision theory, Evers-Hood articulates a behavioral theology for fully human pastors of fully human congregations--a fresh perspective that will change how pastors and other church leaders see themselves, the institutions they serve, and the scriptural and theological tradition.- back of book.
Christianity --- Economics --- Game theory --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Christianity and economics --- Economic aspects. --- Religious aspects --- Christianity. --- Decision making.
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This book treats extensive form game theory in full generality. It provides a framework that does not rely on any finiteness assumptions at all, yet covers the finite case. The presentation starts by identifying the appropriate concept of a game tree. This concept represents a synthesis of earlier approaches, including the graph-theoretical and the decision-theoretical ones. It then provides a general model of sequential, interpersonal decision making, called extensive decision problems. Extensive forms are a special case thereof, which is such that all strategy profiles induce outcomes and do so uniquely. Requiring the existence of immediate predecessors yields discrete extensive forms, which are still general enough to cover almost all applications. The treatment culminates in a characterization of the topologies on the plays of the game tree that admit equilibrium analysis.
Game theory. --- Economic theory. --- Economics. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Game Theory, Economics, Social and Behav. Sciences. --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Mathematics. --- Math --- Science --- Economic theory --- Political economy --- Social sciences --- Economic man
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This book about mathematics and methodology for economics is the result of the lifelong experience of the authors. It is written for university students as well as for students of applied sciences. This self-contained book does not assume any previous knowledge of high school mathematics and helps understanding the basics of economic theory-building. Starting from set theory it thoroughly discusses linear and non-linear functions, differential equations, difference equations, and all necessary theoretical constructs for building sound economic models. The authors also present a solid introduction to linear optimisation and game theory using production systems. A detailed discussion on market equilibrium, in particular on Nash Equilibrium, and on non-linear optimisation is also provided. Throughout the book the student is well supplied with numerous examples, some 2000 problems and their solutions to apply the knowledge to economic theories and models.
Game theory. --- Economic history. --- Economic theory. --- Economics. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Methodology/History of Economic Thought. --- Game Theory, Economics, Social and Behav. Sciences. --- Economic theory --- Political economy --- Economic conditions --- History, Economic --- Games, Theory of --- Theory of games --- Mathematics. --- History of Economic Thought/Methodology. --- Math --- Science --- Social sciences --- Economic man --- Economics --- Mathematical models --- Mathematics
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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 masters 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. This text is appropriate for introductory-to-intermediate courses in game theory at the upper undergraduate and master’s level.
Game theory. --- Behavioral economics. --- Economics. --- Game Theory. --- Game Theory, Economics, Social and Behav. Sciences. --- Behavioral/Experimental Economics. --- Behavioral economics --- Behavioural economics --- Games, Theory of --- Theory of games --- Mathematics. --- Mathematical models --- Mathematics --- Math --- Science --- (BISAC Subject Heading)MAT011000. --- (BISAC Subject Heading)PBUD.
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This book is the fourth in a multidisciplinary series which brings together leading researchers in the STEAM-H disciplines (Science, Technology, Engineering, Agriculture, Mathematics and Health) to present their perspective on advances in their own specific fields, and to generate a genuinely interdisciplinary collaboration that transcends parochial subject-matter boundaries. All contributions are carefully edited, peer-reviewed, reasonably self-contained, and pedagogically crafted for a multidisciplinary readership. Contributions are drawn from a variety of fields including mathematics, statistics, game theory and behavioral sciences, biomathematics and physical chemistry, computer science and human-centered computing. This volume is dedicated to Professor Christiane Rousseau, whose work inspires the STEAM-H series, in recognition of her passion for the mathematical sciences and her on-going initiative, the Mathematics of Planet Earth paradigm of interdisciplinarity. The volume's primary goal is to enhance interdisciplinary understanding between these areas of research by showing how new advances in a particular field can be relevant to open problems in another and how many disciplines contribute to a better understanding of relevant issues at the interface of mathematics and the sciences. The main emphasis is on important methods, research directions and applications of analysis within and beyond each field. As such, the volume aims to foster student interest and participation in the STEAM-H domain, as well as promote interdisciplinary research collaborations. The volume is valuable as a reference of choice and a source of inspiration for a broad spectrum of scientists, mathematicians, research students and postdoctoral fellows.
Mathematics. --- Game theory. --- Mathematical physics. --- Mathematical models. --- Mathematical Modeling and Industrial Mathematics. --- Game Theory, Economics, Social and Behav. Sciences. --- Mathematical Applications in the Physical Sciences. --- Mathematical Biology in General. --- Mathematics --- Mathematical and Computational Biology. --- Math --- Science --- Biomathematics. --- Physical mathematics --- Physics --- Games, Theory of --- Theory of games --- Mathematical models --- Models, Mathematical --- Simulation methods --- Biology
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The Handbook of Cliometrics is a milestone in the field of historical economics and econometric history through its emphasis on the concrete contribution of cliometrics to our knowledge in economics and history. The articles in the handbook authored by the leading scholars in the fields, stress the usefulness of cliometrics for economists, historians and social scientists in general. The Handbook offers a comprehensive coverage of topics with each article providing an overview of the contributions of cliometrics to a particular topic. The Handbook sets a new standard of quality in the field by offering a world-wide forum of discussion in cliometrics.
Economic Theory --- Business & Economics --- Economic theory. --- History. --- Econometrics. --- Mathematics. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- History, general. --- Game Theory, Economics, Social and Behav. Sciences. --- Math --- Science --- Economics, Mathematical --- Statistics --- Economic theory --- Political economy --- Social sciences --- Economic man --- Annals --- Auxiliary sciences of history --- Game theory. --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Quantitative Economics. --- Game Theory.
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Beginning with a concise introduction to the theory of mean-field games (MFGs), this book presents the key elements of the regularity theory for MFGs. It then introduces a series of techniques for well-posedness in the context of mean-field problems, including stationary and time-dependent MFGs, subquadratic and superquadratic MFG formulations, and distinct classes of mean-field couplings. It also explores stationary and time-dependent MFGs through a series of a-priori estimates for solutions of the Hamilton-Jacobi and Fokker-Planck equation. It shows sophisticated a-priori systems derived using a range of analytical techniques, and builds on previous results to explain classical solutions. The final chapter discusses the potential applications, models and natural extensions of MFGs. As MFGs connect common problems in pure mathematics, engineering, economics and data management, this book is a valuable resource for researchers and graduate students in these fields.
Mathematics. --- Game theory. --- System theory. --- Economic theory. --- Game Theory, Economics, Social and Behav. Sciences. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Systems Theory, Control. --- Mean field theory. --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Many-body problem --- Statistical mechanics --- Systems theory. --- Economic theory --- Political economy --- Social sciences --- Economic man --- Math --- Science --- Systems, Theory of --- Systems science --- Philosophy
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This state-of-the-art collection of papers on the theory of Cournotian competition focuses on two main subjects: oligopolistic Cournot competition and contests. The contributors present various applications of the Cournotian Equilibrium Theory, addressing topics such as equilibrium existence and uniqueness, equilibrium structure, dynamic processes, coalitional behavior and welfare. Special emphasis is placed on the aggregative nature of the games that are relevant to such theory. This contributed volume was written to celebrate the 80th birthday of Prof. Koji Okuguchi, a pioneer in oligopoly theory.
Game theory. --- Economic theory. --- Industrial organization. --- Economics. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Game Theory, Economics, Social and Behav. Sciences. --- Industrial Organization. --- Oligopolies --- Duopolies --- Mathematical models. --- Games, Theory of --- Theory of games --- Monopolies, Partial --- Partial monopolies --- Mathematical models --- Mathematics --- Competition, Imperfect --- Mathematics. --- Math --- Science --- Economic theory --- Political economy --- Social sciences --- Economic man --- Industries --- Organization --- Industrial concentration --- Industrial management --- Industrial sociology
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How does mathematics impact everyday events? The purpose of this book is to show a range of examples where mathematics can be seen at work in everyday life. From money (APR, mortgage repayments, personal finance), simple first and second order ODEs, sport and games (tennis, rugby, athletics, darts, tournament design, soccer, snooker), business (stock control, linear programming, check digits, promotion policies, investment), the social sciences (voting methods, Simpson’s Paradox, drug testing, measurements of inequality) to TV game shows and even gambling (lotteries, roulette, poker, horse racing), the mathematics behind commonplace events is explored. Fully worked examples illustrate the ideas discussed and each chapter ends with a collection of exercises. Everyday Mathematics supports other first year modules by giving students extra practice in working with calculus, linear algebra, geometry, trigonometry and probability. Secondary/high school level mathematics is all that is required for students to understand the material. Those students whose degree course includes writing an extended mathematical essay will find many suitable topics here, with pointers to extend and develop the material. .
Mathematical Theory --- Mathematics --- Physical Sciences & Mathematics --- Mathematics. --- Differential Equations. --- Mathematics, general. --- Ordinary Differential Equations. --- Game Theory, Economics, Social and Behav. Sciences. --- Mathematical Modeling and Industrial Mathematics. --- 517.91 Differential equations --- Differential equations --- Math --- Science --- Differential equations. --- Game theory. --- Mathematical models. --- Models, Mathematical --- Simulation methods --- Games, Theory of --- Theory of games --- Mathematical models
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