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Books > Science & Mathematics > Mathematics > Optimization > Game theory
In everyday life we must often reach decisions while knowing that the outcome will not only depend on our own choice, but also on the choices of others. These situations are the focus of epistemic game theory. Unlike classical game theory, it explores how people may reason about their opponents before they make their final choice in a game. Packed with examples and practical problems based on stories from everyday life, this is the first textbook to explain the principles of epistemic game theory. Each chapter is dedicated to one particular, natural way of reasoning. The book then shows how each of these ways of reasoning will affect the final choices that can rationally be made and how these choices can be found by iterative procedures. Moreover, it does so in a way that uses elementary mathematics and does not presuppose any previous knowledge of game theory.
Game theory is concerned with strategic interaction among several decision-makers. In such strategic encounters, all players are aware of the fact that their actions affect the other players. Game theory analyzes how these strategic, interactive considerations may affect the players' decisions and influence the final outcome. This textbook focuses on applications of complete-information games in economics and management, as well as in other fields such as political science, law and biology. It guides students through the fundamentals of game theory by letting examples lead the way to the concepts needed to solve them. It provides opportunities for self-study and self-testing through an extensive pedagogical apparatus of examples, questions and answers. The book also includes more advanced material suitable as a basis for seminar papers or elective topics, including rationalizability, stability of equilibria (with discrete-time dynamics), games and evolution, equilibrium selection and global games.
Learn how to analyse and manage evolutionary and sequential user behaviours in modern networks, and how to optimize network performance by using indirect reciprocity, evolutionary games, and sequential decision making. Understand the latest theory without the need to go through the details of traditional game theory. With practical management tools to regulate user behaviour, and simulations and experiments with real data sets, this is an ideal tool for graduate students and researchers working in networking, communications, and signal processing.
This book includes the best studies on the results of the International Scientific and Practical Conference "New behaviors of market players in the digital economy," which was held by the Institute of Scientific Communications on July 8, 2021, online, in YouTube format. This book is devoted to the study of digital economy markets from the standpoint of various market players-society (consumers), entrepreneurship, and the state-from the standpoint of various sciences-economic, managerial, social, and legal-which ensures the multidisciplinarity of the book. The uniqueness of the book lies in the application of a new scientific and methodological approach to the study of digital economy markets-simulation modeling. The advantages of a game-based scientific and methodological approach to reducing the uncertainty of economic processes and systems-a combination of quantitative and qualitative analytical methods, a systematic consideration of economic processes and systems from a socio-economic point of view-make it especially suitable for studying digital economy markets. The book identifies the impact of globalization and digitalization on the modern economy and industry markets. The trends and features of the use of advanced technologies in the digital economy markets are studied. The modern practices of business management and business integration in the digital economy are considered. The foundations of economic security and sustainable development of markets and enterprises in the digital economy are revealed. The book is suitable for scientists studying the markets of the digital economy, who will find in it scientific and methodological recommendations and developments on the application of game theory, as well as ready simulation models of the digital economy markets.
In a series of conversational essays, this textbook discusses the manner in which economic thought addresses a broad array of everyday issues beyond classical textbook treatments. In the spirit of popular economics books, the author uncovers economic issues and solutions from individuals, businesses, society, and the country as a whole in a decidedly non-technical and relatable manner. Should the federal government mandate use of child safety seats on commercial airlines? Can genetic information substitute for a college degree? The contents of this book touch on many of these contemporary topics in an accessible way. Addressing undergraduate and graduate students, as well as scholars in different fields of economics, this book is a must-read for everybody interested in a better understanding of economic thought.
This gentle introduction to logic and model theory is based on a systematic use of three important games in logic: the semantic game; the Ehrenfeucht Fraisse game; and the model existence game. The third game has not been isolated in the literature before but it underlies the concepts of Beth tableaux and consistency properties. Jouko Vaananen shows that these games are closely related and in turn govern the three interrelated concepts of logic: truth, elementary equivalence and proof. All three methods are developed not only for first order logic but also for infinitary logic and generalized quantifiers. Along the way, the author also proves completeness theorems for many logics, including the cofinality quantifier logic of Shelah, a fully compact extension of first order logic. With over 500 exercises this book is ideal for graduate courses, covering the basic material as well as more advanced applications.
This book is an original-the first-ever treatment of the mathematics of Luck. Setting out from the principle that luck can be measured by the gap between reasonable expectation and eventual realization, the book develops step-by-step a mathematical theory that accommodates the entire range of our pre-systematic understanding of the way in which luck functions in human affairs. In so moving from explanatory exposition to mathematical treatment, the book provides a clear and accessible account of the way in which luck assessment enters into the calculations of rational decision theory.
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.
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.
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
When should you adopt an aggressive business strategy? How do we make decisions when we don't have all the information? What makes international environmental cooperation possible? Game theory is the study of how we make a decision when the outcome of our moves depends on the decisions of someone else. Economists Ivan and Tuvana Pastine explain why, in these situations, we sometimes cooperate, sometimes clash, and sometimes act in a way that seems completely random. Stylishly brought to life by award-winning cartoonist Tom Humberstone, Game Theory will help readers understand behaviour in everything from our social lives to business, global politics to evolutionary biology. It provides a thrilling new perspective on the world we live in.
This Palgrave Pivot examines monotone games and studies incentives and outcomes when there are multiple players, and how the decision of each player affects the well-being of others in particular ways. Games with strategic complements exhibit codirectional incentives, or incentives for each player to move in the same direction as other players. Games with strategic substitutes exhibit contradirectional incentives, or incentives for each player to move in the direction opposite to other players. Monotone games include both types of players: some players have incentives to move in the same direction as other players and some players have incentives to move in the direction opposite to other players. This book develops the theory of monotone games in a new and unified manner and presents many applications. Incentives and outcomes studied in monotone games occur in a variety of disciplines, including biology, business, computer science, economics, mathematics, medicine, philosophy, political science, and psychology, among others. The book identifies unifying threads across different cases, showing how newer results are similar to or different from previous results, and how readers may better understand them under the umbrella of monotone games.
Few branches of mathematics have been more influential in the social sciences than game theory. In recent years, it has become an essential tool for all social scientists studying the strategic behaviour of competing individuals, firms and countries. However, the mathematical complexity of game theory is often very intimidating for students who have only a basic understanding of mathematics. Insights into Game Theory addresses this problem by providing students with an understanding of the key concepts and ideas of game theory without using formal mathematical notation. The authors use four very different topics (college admission, social justice and majority voting, coalitions and co-operative games, and a bankruptcy problem from the Talmud) to investigate four areas of game theory. The result is a fascinating introduction to the world of game theory and its increasingly important role in the social sciences.
Few branches of mathematics have been more influential in the social sciences than game theory. In recent years, it has become an essential tool for all social scientists studying the strategic behaviour of competing individuals, firms and countries. However, the mathematical complexity of game theory is often very intimidating for students who have only a basic understanding of mathematics. Insights into Game Theory addresses this problem by providing students with an understanding of the key concepts and ideas of game theory without using formal mathematical notation. The authors use four very different topics (college admission, social justice and majority voting, coalitions and co-operative games, and a bankruptcy problem from the Talmud) to investigate four areas of game theory. The result is a fascinating introduction to the world of game theory and its increasingly important role in the social sciences.
This contributed volume presents the state-of-the-art of games and dynamic games, featuring several chapters based on plenary sessions at the ISDG-China Chapter Conference on Dynamic Games and Game Theoretic Analysis, which was held from August 3-5, 2017 at the Ningbo campus of the University of Nottingham, China. The chapters in this volume will provide readers with paths to further research, serving as a testimony to the vitality of the field. Experts cover a range of theory and applications related to games and dynamic games, with topics including: Dynamically stable cooperative provision of public goods under non-transferable utility Strongly time-consistent solutions in cooperative dynamic games Incentive Stackelberg games for stochastic systems Static and inverse Stackelberg games in political economy Cournot and Betrand competition on symmetric R&D networks Numerical Nash equilibria using curvilinear multistart algorithm Markov chain approximation numerical scheme for infinite-horizon mean field games Frontiers in Games and Dynamic Games will appeal to an interdisciplinary audience of researchers, practitioners, and graduate students interested in games and dynamic games.
The game of Dots-and-Boxes, the popular game in which two players take turns connecting an array of dots to form squares, or "boxes" has long been considered merely a child's game. In this book, however, the author reveals the surprising complexity of the game, along with advanced strategies that will allow the reader to win at any level of gameplay desired. This book is an essential guide to the game of Dots-and-Boxes and its mathematical underpinnings. Chapters of strategy are interspersed with dozens of sample problems and their solutions. Furthermore, the strategies can be applied to several other games, such as Strings-and-Coins and Nimstring.
What if life is a game? Are you winning? Have you even decided what 'winning' is? Game design could be defined in many ways, but here the term is used to denote the practice of creating choices. Designing a game, in this sense, involves crafting limits, rewards, incentives, and risks in such a way that the person who interacts with the game - the player - makes choices that have consequences. Edward Castronova urges readers to think about the fundamentals of the human condition and compare them to different games that we all know. In some ways, life is like an idle game: providing unchallenging distractions that fit easily into a person's daily routine. In other ways, life is like the game Minesweeper: You poke in different places to learn about what you don't know, taking care to avoid big explosions. Or, life is like a role-playing game: You adopt a persona and speak your part, always seeking adventure. Bringing together questions relating to diverse fields - such as politics, economics, sociology and philosophy - Castronova persuades readers to broaden the scope of game design to answer questions about life's everyday obstacles. The object of this book is to take seriously the idea that life is a game. The goal is not to make readers wealthier or healthier. Its goal is to go on a journey into the human condition, with game design as a guide.
In recent decades game theory-the mathematics of rational decision-making by interacting individuals-has assumed a central place in our understanding of capitalist markets, the evolution of social behavior in animals, and even the ethics of altruism and fairness in human beings. With game theory's ubiquity, however, has come a great deal of misunderstanding. Critics of the contemporary social sciences view it as part of an unwelcome trend toward the marginalization of historicist and interpretive styles of inquiry, and many accuse its proponents of presenting a thin and empirically dubious view of human choice. The World the Game Theorists Made seeks to explain the ascendency of game theory, focusing on the poorly understood period between the publication of John von Neumann and Oscar Morgenstern's seminal Theory of Games and Economic Behavior in 1944 and the theory's revival in economics in the 1980s. Drawing on a diverse collection of institutional archives, personal correspondence and papers, and interviews, Paul Erickson shows how game theory offered social scientists, biologists, military strategists, and others a common, flexible language that could facilitate wide-ranging thought and debate on some of the most critical issues of the day.
This book constitutes revised selected and extended papers presented at track 4 of the Conference on Computer Science and Intelligence Systems, FedCSIS 2020, which took place in Sofia, Bulgaria, during September 6-9, 2020. The FedCSIS Information Systems and Technologies Track included AIST 2020, DSH 2020, ISM 2020, and KAM 2020. For this track, a total of 29 submissions was received from which a total of 5 full and 3 short papers was accepted for publication in this volume. The papers were organized in topical sections named: improving project management methods; numerical methods of solving management problems; and technological infrastructure for business excellence.
This textbook covers microeconomic theory at the level of intermediate and advanced undergraduates. It is also intended as an introduction for those with other intellectual and academic backgrounds who may not necessarily agree with "mainstream" economists but at least are interested knowing how they think and see things. The book provides thorough explanations of definitions and assumptions that the theory is based upon. It provides comprehensive accounts of motivations and reservations behind the theory. As well, it precisely presents the logical process of how the assumptions lead to the conclusion, conveying the intuition and the key of the arguments. An abundance of topics is included here: individual choice, general equilibrium, partial equilibrium, game theory, imperfect competition, transaction under incomplete information, market failures, welfare economics, social choice and mechanism design. The book is a valuable resource for any reader studying or simply interested in microeconomic theory.
The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories.
This book is the first to present in a systematic manner the application of game theory to fisheries management at both international and national levels. Strategic interaction among fishers and nations exploiting fishery resources is an inescapable fact of life. This has long been recognized at the international level, and is becoming increasingly recognized at the national/regional level. It follows, therefore, that, in order to be able to analyse effectively the management of these resources, the theory of strategic interaction game theory must be brought to bear. In this book the step-by-step development of the game theory is accompanied by numerous applications to the real world of fisheries management policy. As such, it is designed to appeal to policy makers and stakeholders, as well as to graduate students in Economics.
This book provides a contemporary treatment of quantitative economics, with a focus on data science. The book introduces the reader to R and RStudio, and uses expert Hadley Wickham's tidyverse package for different parts of the data analysis workflow. After a gentle introduction to R code, the reader's R skills are gradually honed, with the help of "your turn" exercises. At the heart of data science is data, and the book equips the reader to import and wrangle data, (including network data). Very early on, the reader will begin using the popular ggplot2 package for visualizing data, even making basic maps. The use of R in understanding functions, simulating difference equations, and carrying out matrix operations is also covered. The book uses Monte Carlo simulation to understand probability and statistical inference, and the bootstrap is introduced. Causal inference is illuminated using simulation, data graphs, and R code for applications with real economic examples, covering experiments, matching, regression discontinuity, difference-in-difference, and instrumental variables. The interplay of growth related data and models is presented, before the book introduces the reader to time series data analysis with graphs, simulation, and examples. Lastly, two computationally intensive methods-generalized additive models and random forests (an important and versatile machine learning method)-are introduced intuitively with applications. The book will be of great interest to economists-students, teachers, and researchers alike-who want to learn R. It will help economics students gain an intuitive appreciation of applied economics and enjoy engaging with the material actively, while also equipping them with key data science skills.
The contributions included in the volume are drawn from presentations at ODS2019 - International Conference on Optimization and Decision Science, which was the 49th annual meeting of the Italian Operations Research Society (AIRO) held at Genoa, Italy, on 4-7 September 2019. This book presents very recent results in the field of Optimization and Decision Science. While the book is addressed primarily to the Operations Research (OR) community, the interdisciplinary contents ensure that it will also be of very high interest for scholars and researchers from many scientific disciplines, including computer sciences, economics, mathematics, and engineering. Operations Research is known as the discipline of optimization applied to real-world problems and to complex decision-making fields. The focus is on mathematical and quantitative methods aimed at determining optimal or near-optimal solutions in acceptable computation times. This volume not only presents theoretical results but also covers real industrial applications, making it interesting for practitioners facing decision problems in logistics, manufacturing production, and services. Readers will accordingly find innovative ideas from both a methodological and an applied perspective. |
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