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.

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 second of three volumes surveying the state of the art in Game Theory and its applications to many and varied fields, in particular to economics. The chapters in the present volume are contributed by outstanding authorities, and provide comprehensive coverage and precise statements of the main results in each area. The applications include empirical evidence. The following topics are covered: communication and correlated equilibria, coalitional games and coalition structures, utility and subjective probability, common knowledge, bargaining, zero-sum games, differential games, and applications of game theory to signalling, moral hazard, search, evolutionary biology, international relations, voting procedures, social choice, public economics, politics, and cost allocation. This handbook will be of interest to scholars in economics, political science, psychology, mathematics and biology. For more information on the Handbooks in Economics series, please see our home page on http://www.elsevier.nl/locate/hes

Comprises lectures given at Tel Aviv University and Oxford University in 1990.

'These two volumes constitute an impressive collection of selected path-breaking works of Professor Selten. . . . Edward Elgar Publications deserve merit for bringing out most frequently-cited and prominent articles of Professor Selten in a conveniently available package.' - K. Ravikumar, Journal of Scientific and Industrial Research In 1994, the Nobel Prize was awarded to Reinhard Selten, John Nash and John Harsanyi, for pioneering analysis in game theory. Selten was the first to refine the Nash equilibrium concept of non-cooperative games for analysing dynamic strategic interaction and to apply these concepts to analyses of oligopoly.

Game theory is the study of strategic behavior in situations in which the decision makers are aware of the interdependence of their actions. This innovative textbook introduces students to the most basic principles of game theory - move and countermove - with an emphasis on real-world business and economic applications. Students with a background in principles of economics and business mathematics can readily understand most of the material.Demonstration problems in each chapter are designed to enhance the student's understanding of the concepts presented in the text. Many chapters include non-technical applications designed to further the student's intuitive understanding of strategic behavior. Case studies help underscore the usefulness of game theory for analyzing real-world situations. Each chapter concludes with a review and questions and exercises. An online Instructor's Manual with test bank is available to professors who adopt the text.

This work explains that equilibrium is the long-run outcome of a process in which non-fully rational players search for optimality over time. The models they e×plore provide a foundation for equilibrium theory and suggest ways for economists to evaluate and modify traditional equilibrium concepts.