Why did countries engage in a nuclear arms race? How do we make decisions when we don’t have all the information? What makes international environmental cooperation possible? Game theory is the study
The mathematical study of games is an intriguing endeavor with implications and applications that reach far beyond tic-tac-toe, chess, and poker to economics, business, and even biology and politics.
An introduction to game theory that offers not only theoretical tools but also the intuition and behavioral insights to apply these tools to real-world situations.This introductory text on game theory provides students with both the theoretical tools to analyze situations through the logic of game theory and the intuition and behavioral insights to apply these tools to real-world situations. It is unique among game theory texts in offering a clear, formal introduction to standard game theory while incorporating evidence from experimental data and introducing recent behavioral models. Students will not only learn about incentives, how to represent situations as games, and what agents “should” do in these situations, but they will also be presented with evidence that either confirms the theoretical assumptions or suggests a way in which the theory might be updated.Features:Each chapter begins with a motivating example that can be run as an experiment and ends with a discussion of the beh
This book, originally published in 1990, deals with the stabilisation and control of an economic system in a dynamic setting. Unlike studies which consider only the case of centralised policy-making, Professor Petit examines both the situation in which policy decisions are taken by a single policy-maker and the case of group policy-making. The wide-ranging economic implications of the use of these methods are thoroughly discussed. The tools of optimal control and differential game theory, and their advantages and drawbacks, are examined, along with methodological implications of introducing expectations into the policy problem. This lucid and comprehensive study of control theory and dynamic games will be of great use both to economists interested in learning mathematical methods and to mathematicians interested in their economic applications.
In introducing new students to game development there are two crucial components to consider: the theory behind video games (design) and the practical creation of games (implementation). This book pro
There are a number of important questions associated with statistical experiments: when does one given experiment yield more information than another; how can we measure the difference in information; how fast does information accumulate by repeating the experiment? The means of answering such questions has emerged from the work of Wald, Blackwell, LeCam and others and is based on the ideas of risk and deficiency. The present work which is devoted to the various methods of comparing statistical experiments, is essentially self-contained, requiring only some background in measure theory and functional analysis. Chapters introducing statistical experiments and the necessary convex analysis begin the book and are followed by others on game theory, decision theory and vector lattices. The notion of deficiency, which measures the difference in information between two experiments, is then introduced. The relation between it and other concepts, such as sufficiency, randomisation, distance, or
An essential exploration of video game aesthetic that decenters the human player and challenges what it means to play.Do we play video games or do video games play us? Is nonhuman play a mere paradox or the future of gaming? And what do video games have to do with quantum theory? In Playing at a Distance, Sonia Fizek engages with these and many more daunting questions, forging new ways to think and talk about games and play that decenter the human player and explore a variety of play formats and practices that require surprisingly little human action. Idling in clicker games, wandering in walking simulators, automating gameplay with bots, or simply watching games rather than playing them―Fizek shows how these seemingly marginal cases are central to understanding how we play in the digital age. Introducing the concept of distance, Fizek reorients our view of computer-mediated play. To “play at a distance,” she says, is to delegate the immediate action to the machine and to become partic
Common Pool Resources include, for instance, fishing grounds, irrigation systems, forests and the atmosphere. Now more than ever, how we responsibly share and use those goods is a vital issue. This textbook introduces students of economics, business and policy studies to the key issues in the field. It uses a game-theory approach to help readers understand the mathematical representation of how to find equilibrium behavior in CPRs, how to identify the socially optimal appropriation, and how to measure the inefficiencies that arise. Algebra and calculus steps are clearly explained, so students can more easily reproduce the analysis and apply it in their own research. Finally, the book also summarizes experimental studies that tested theoretical results in controlled environments, introducing readers to a literature that has expanded over the last decades, and provides references for further reading.
Common Pool Resources include, for instance, fishing grounds, irrigation systems, forests and the atmosphere. Now more than ever, how we responsibly share and use those goods is a vital issue. This textbook introduces students of economics, business and policy studies to the key issues in the field. It uses a game-theory approach to help readers understand the mathematical representation of how to find equilibrium behavior in CPRs, how to identify the socially optimal appropriation, and how to measure the inefficiencies that arise. Algebra and calculus steps are clearly explained, so students can more easily reproduce the analysis and apply it in their own research. Finally, the book also summarizes experimental studies that tested theoretical results in controlled environments, introducing readers to a literature that has expanded over the last decades, and provides references for further reading.
There are a number of important questions associated with statistical experiments: when does one given experiment yield more information than another; how can we measure the difference in information; how fast does information accumulate by repeating the experiment? The means of answering such questions has emerged from the work of Wald, Blackwell, LeCam and others and is based on the ideas of risk and deficiency. The present work which is devoted to the various methods of comparing statistical experiments, is essentially self-contained, requiring only some background in measure theory and functional analysis. Chapters introducing statistical experiments and the necessary convex analysis begin the book and are followed by others on game theory, decision theory and vector lattices. The notion of deficiency, which measures the difference in information between two experiments, is then introduced. The relation between it and other concepts, such as sufficiency, randomisation, distance, or
