Game Theory for Economic Analysis provides information pertinent to the more general game-theoretical concept. This book discusses fundamental aspects of a social coalitional equilibrium. Organized into six chapters, this book begins with an overview of the mathematical tools and theorems that play critical roles in n-person game theory. This text then provides a systematic account for the first strand of n-person game theory and presents the mathematical foundation for economic analysis. Other chapters consider the concept of Nash equilibrium of a game in normal form, wherein a solution of a game is based on the postulate that each player behaves individualistically and passively. This book discusses as well the central concept of the core of a game in characteristic function form, with or without side-payments. The final chapter deals with the Shapley value of a side-payment game. This book is a valuable resource for economists, economic theorists, and research workers.
This book considers three relationships: law and economics; economics and game theory; and game theory and law. Economists teach lawyers that economic principles cut across and integrate seemingly different legal subjects such as contracts, torts, and property. Correspondingly, lawyers teach economists that legal rationality is a separate and distinct decision-making process that can be formalized by behavioral rules that are parallel to and comparable with the behavioral rules of economic rationality, that efficiency often must be constrained by legal goals such as equal protection of the laws, due process, and horizontal and distributional equity, and that the general case methodology of economics vs. the hard case methodology of law for determining the truth or falsity of economic theories and theorems sometimes conflict. Economics and Game Theory: Law and economics books focus on economic analysis of judges’ decisions in common law cases and have been mostly limited to contracts, torts, property, criminal law, and suit and settlement. There is usually no discussion of the many areas of law that require cooperative action such as is needed to provide economic infrastructure, control public “bad” type externalities, and make legislation. Game theory provides the bridge between competitive markets and the missing discussion of cooperative action in law and economics. How? Competitive markets are examples (subset) of the Prisoners’ Dilemma, which explains the conflict between individual self-interested behavior and cooperation both in economic markets and in legislative bodies and demonstrates the need for social infrastructure and regulation of pollution and global warming. Game Theory and Law: Lawsuits usually involve litigation between two parties, not the myriad participants in markets, so the assumption of self-interest constrained by markets does not carry over to legal disputes involving one-on-one bargaining in which the law gives one party superior bargaining power. Game theory models predict the effect of different legal institutions, rights, and rules on the outcome of such bargaining. Game theory also has a natural four-model framework which is used in this book to analyze the law and economics of civil obligation, which consists of torts (negligence), contracts, and unjust enrichment.
Mathematical economics and game theory approached with the fundamental mathematical toolbox of nonlinear functional analysis are the central themes of this text. Both optimization and equilibrium theories are covered in full detail. The book's 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. Mathematicians, mathematical economists, and operations research specialists will find that it provides a solid foundation in nonlinear functional analysis. This text begins by developing linear and convex analysis in the context of optimization theory. The treatment includes results on the existence and stability of solutions to optimization problems as well as an introduction to duality theory. The second part explores a number of topics in game theory and mathematical economics, including two-person games, which provide the framework to study theorems of nonlinear analysis. The text concludes with an introduction to non-linear analysis and optimal control theory, including an array of fixed point and subjectivity theorems that offer powerful tools in proving existence theorems.
This is the classic work upon which modern-day game theory is based. What began as a modest proposal that a mathematician and an economist write a short paper together blossomed, when Princeton University Press published Theory of Games and Economic Behavior. In it, John von Neumann and Oskar Morgenstern conceived a groundbreaking mathematical theory of economic and social organization, based on a theory of games of strategy. Not only would this revolutionize economics, but the entirely new field of scientific inquiry it yielded--game theory--has since been widely used to analyze a host of real-world phenomena from arms races to optimal policy choices of presidential candidates, from vaccination policy to major league baseball salary negotiations. And it is today established throughout both the social sciences and a wide range of other sciences.
How the works of Jane Austen show that game theory is present in all human behavior Game theory—the study of how people make choices while interacting with others—is one of the most popular technical approaches in social science today. But as Michael Chwe reveals in his insightful new book, Jane Austen explored game theory's core ideas in her six novels roughly two hundred years ago—over a century before its mathematical development during the Cold War. Jane Austen, Game Theorist shows how this beloved writer theorized choice and preferences, prized strategic thinking, and analyzed why superiors are often strategically clueless about inferiors. Exploring a diverse range of literature and folktales, this book illustrates the wide relevance of game theory and how, fundamentally, we are all strategic thinkers.
An introduction to one of the most powerful tools in modern economics Game Theory for Applied Economists introduces one of the most powerful tools of modern economics to a wide audience: those who will later construct or consume game-theoretic models. Robert Gibbons addresses scholars in applied fields within economics who want a serious and thorough discussion of game theory but who may have found other works too abstract. Gibbons emphasizes the economic applications of the theory at least as much as the pure theory itself; formal arguments about abstract games play a minor role. The applications illustrate the process of model building—of translating an informal description of a multi-person decision situation into a formal game-theoretic problem to be analyzed. Also, the variety of applications shows that similar issues arise in different areas of economics, and that the same game-theoretic tools can be applied in each setting. In order to emphasize the broad potential scope of the theory, conventional applications from industrial organization have been largely replaced by applications from labor, macro, and other applied fields in economics. The book covers four classes of games, and four corresponding notions of equilibrium: static games of complete information and Nash equilibrium, dynamic games of complete information and subgame-perfect Nash equilibrium, static games of incomplete information and Bayesian Nash equilibrium, and dynamic games of incomplete information and perfect Bayesian equilibrium.
Eminently suited to classroom use as well as individual study, Roger Myerson's introductory text provides a clear and thorough examination of the models, solution concepts, results, and methodological principles of noncooperative and cooperative game theory. Myerson introduces, clarifies, and synthesizes the extraordinary advances made in the subject over the past fifteen years, presents an overview of decision theory, and comprehensively reviews the development of the fundamental models: games in extensive form and strategic form, and Bayesian games with incomplete information. Game Theory will be useful for students at the graduate level in economics, political science, operations research, and applied mathematics. Everyone who uses game theory in research will find this book essential.
Introduces the game-theoretic approach of modelling economic behaviour and interaction, focusing on concepts and ideas from the field of game-theoretic models which find commonly used applications in economics. This book provides the reader with skills necessary to formalize economic games and to make them accessible for game theoretic analysis.
This book presents the huge variety of current contributions of game theory to economics. The impressive contributions fall broadly into two categories. Some lay out in a jargon free manner a particular branch of the theory, the evolution of one of its concepts, or a problem, that runs through its development. Others are original pieces of work tha
