Introduction to the Theory of Games

Introduction to the Theory of Games
Author: Jeno Szép
Publisher: Springer Science & Business Media
Total Pages: 409
Release: 2012-12-06
Genre: Mathematics
ISBN: 9400951930

Approach your problems from the right It isn't that they can't see the solution. end and begin with the answers. Then It is that they can't see the problem. one day, perhaps you will find the final question. G. K. Chesterton. The Scandal of Father Brown 'The Point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Min kowsky lemma, coding theory and the structure of water meet one another in packing and covering theory: quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces.

Introduction to the Theory of Games

Introduction to the Theory of Games
Author: J. C. C. McKinsey
Publisher: Courier Corporation
Total Pages: 402
Release: 2012-11-14
Genre: Mathematics
ISBN: 0486154424

This comprehensive overview of the mathematical theory of games illustrates applications to situations involving conflicts of interest, including economic, social, political, and military contexts. Advanced calculus a prerequisite. Includes 51 figures and 8 tables. 1952 edition.

Bargaining Solutions and Stationary Sets in N-person Games

Bargaining Solutions and Stationary Sets in N-person Games
Author: Robert James Weber
Publisher:
Total Pages: 196
Release: 1974
Genre: Game theory
ISBN:

The formal proceedings of an n-person cooperative game can be modelled as a multi-stage negotiation process. At each stage, coalitions may object to the proposal at hand. If a particular objection is given recognition, then the non-objecting players respond to that objection in such a manner that a new proposal results from the objection and response. An equilibrium collection of strategies in this negotiation game may be viewed as a 'standard of behavior' to which no nonconformist pressures exist. This paper explores the relationship between the set of proposals to which no objections are made in such an equilibrium collection, and the von Neumann-Morgenstern stable sets of the original game. (Modified author abstract).

Stochastic Differential Games. Theory and Applications

Stochastic Differential Games. Theory and Applications
Author: Kandethody M. Ramachandran
Publisher: Springer Science & Business Media
Total Pages: 253
Release: 2012-01-05
Genre: Mathematics
ISBN: 9491216473

The subject theory is important in finance, economics, investment strategies, health sciences, environment, industrial engineering, etc.

Game Theory

Game Theory
Author: Steve Tadelis
Publisher: Princeton University Press
Total Pages: 416
Release: 2013-01-06
Genre: Business & Economics
ISBN: 0691129088

The definitive introduction to game theory This comprehensive textbook introduces readers to the principal ideas and applications of game theory, in a style that combines rigor with accessibility. Steven Tadelis begins with a concise description of rational decision making, and goes on to discuss strategic and extensive form games with complete information, Bayesian games, and extensive form games with imperfect information. He covers a host of topics, including multistage and repeated games, bargaining theory, auctions, rent-seeking games, mechanism design, signaling games, reputation building, and information transmission games. Unlike other books on game theory, this one begins with the idea of rationality and explores its implications for multiperson decision problems through concepts like dominated strategies and rationalizability. Only then does it present the subject of Nash equilibrium and its derivatives. Game Theory is the ideal textbook for advanced undergraduate and beginning graduate students. Throughout, concepts and methods are explained using real-world examples backed by precise analytic material. The book features many important applications to economics and political science, as well as numerous exercises that focus on how to formalize informal situations and then analyze them. Introduces the core ideas and applications of game theory Covers static and dynamic games, with complete and incomplete information Features a variety of examples, applications, and exercises Topics include repeated games, bargaining, auctions, signaling, reputation, and information transmission Ideal for advanced undergraduate and beginning graduate students Complete solutions available to teachers and selected solutions available to students

Proceedings of the Princeton Symposium on Mathematical Programming

Proceedings of the Princeton Symposium on Mathematical Programming
Author: Harold William Kuhn
Publisher: Princeton University Press
Total Pages: 627
Release: 2015-03-08
Genre: Mathematics
ISBN: 1400869935

This volume contains thirty-three selected general research papers devoted to the theory and application of the mathematics of constrained optimization, including linear programming and its extensions to convex programming, general nonlinear programming, integer programming, and programming under uncertainty. Originally published in 1971. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Assets, Beliefs, and Equilibria in Economic Dynamics

Assets, Beliefs, and Equilibria in Economic Dynamics
Author: Charalambos D. Aliprantis
Publisher: Springer Science & Business Media
Total Pages: 756
Release: 2004
Genre: Business & Economics
ISBN: 9783540009115

A collection of papers dealing with a broad range of topics in mathematical economics, game theory and economic dynamics. The contributions present both theoretical and applied research. The volume is dedicated to Mordecai Kurz. The papers were presented in a special symposium co-hosted by the Stanford University Department of Economics and by the Stanford Institute of Economic Policy Research in August 2002.

Dynamic Games and Applications in Economics

Dynamic Games and Applications in Economics
Author: Tamer Başar
Publisher: Springer Science & Business Media
Total Pages: 299
Release: 2012-12-06
Genre: Business & Economics
ISBN: 3642616364

This volume contains eleven articles which deal with different aspects of dynaoic and differential game theory and its applications in economic modeling and decision making. All but one of these were presented as invited papers in special sessions I organized at the 7th Annual Conference on Economic Dynamics and Control in London, England, during the period June 26-28, 1985. The first article, which comprises Chapter 1, provides a general introduction to the topic of dynamic and differential game theory, discusses various noncooperative equilibrium solution concepts, includ ing Nash, Stackelberg, and Consistent Conjectural Variations equilibria, and a number of issues such as feedback and time-consistency. The second chapter deals with the role of information in Nash equilibria and the role of leadership in Stackelberg problems. A special type of a Stackelberg problem is the one in which one dominant player (leader) acquires dynamic information involving the actions of the others (followers), and constructs policies (so-called incentives) which enforce a certain type of behavior on the followers; Chapter 3 deals with such a class of problems and presents some new theoretical results on the existence of affine incentive policies. The topic of Chapter 4 is the computation of equilibria in discounted stochastic dynamic games. Here, for problems with finite state and decision spaces, existing algorithms are reviewed, with a comparative study of their speeds of convergence, and a new algorithm for the computation of nonzero-sum game equilibria is presented.

Interactive Decision Making

Interactive Decision Making
Author: Liping Fang
Publisher: John Wiley & Sons
Total Pages: 242
Release: 1993-10-18
Genre: Technology & Engineering
ISBN: 9780471592372

A comprehensive procedure for systematically examining actual disputes. Clearly explains the theory and practice of this novel approach to conflict modeling, analysis and resolution. Based upon ideas from both graph and game theories, it extends the realm of multiple objective-multiple-participant decision making in useful directions. Includes a wealth of illustrations and a computer disk.