Game Theory

This book surveys the state-of-the-art in the theory of combinatorial games, that is games not involving chance or hidden information. Enthusiasts will find a wide variety of exciting topics, from a trailblazing presentation of scoring to solutions of three piece ending positions of bidding chess. Theories and techniques in many subfields are covered, such as universality, Wythoff Nim variations, misère play, partizan bidding (a.k.a. Richman games), loopy games, and the algebra of placement games.

Combinatorial Games are the strategy games that people like to play. They differ from economic games in that there are two players who play alternately with no hidden cards and no dice, for example Chess, Checkers and Go. They have a non-obvious mathematical structure that allows players to analyze these games in the abstract.

Stochastic games provide a versatile model for reactive systems that are reactive systems by random events. This book advances the algorithmic theory of stochastic games to incorporate multiple players, whose objectives are not necessarily conflicting.

Game theory addresses situations with multiple agents in which the outcome of an agent's act depends on the acts of the other agents. The agents may be mindless organisms. Epistemic game theory addresses games in which the agents have minds.

This fascinating look at combinatorial games, that is, games not involving chance or hidden information, offers updates on standard games such as Go and Hex, on impartial games such as Chomp and Wythoff's Nim, and on aspects of games with infinitesimal values, plus analyses of the complexity of some games and puzzles and surveys on algorithmic game theory, on playing to lose, and on coping with cycles. The volume is rounded out with an up-to-date bibliography by Fraenkel and, for readers eager to get their hands dirty, a list of unsolved problems by Guy and Nowakowski. Highlights include some of Siegel's groundbreaking work on loopy games, the unveiling by Friedman and Landsberg of the use of renormalization to give very intriguing results about Chomp, and Nakamura's "Counting Liberties in Capturing Races of Go." Like its predecessors, this book should be on the shelf of all serious games enthusiasts.

This fascinating collection of articles by some of the top names in the field is a state-of-the-art look at combinatorial games. The articles run the gamut from new theoretical approaches, where computer science now plays as much of a role as mathematics, to the very latest in some of the hottest games, such as Amazons, Chomp, Dot-and-Boxes, Go, Chess, Hex.

Is Nine-Men's Morris, in the hands of perfect players, a win for white or for black--or a draw? Can king, rook, and knight always defeat king and two knights in chess? What can Go players learn from economists? What are nimbers, tinies, switches, minies? This book deals with combinatorial games, that is, games not involving chance or hidden information. Their study is at once old and young: though some games, such as chess, have been analyzed for centuries, the first full analysis of a nontrivial combinatorial game (Nim) only appeared in 1902.

Game theory provides a powerful mathematical framework that can accommodate the preferences and requirements of various stakeholders in a given process as regards the outcome of the process. The chapters' contents in this book will give an impetus to the application of game theory to the modeling and analysis of modern communication, biology engineering, transportation, etc...

Striking an appropriate balance of mathematical and analytical rigor, Strategy and Conflict: A Non-Technical Introduction to Game Theory teaches by example. While Game Theoretic principles are the same across the board, learners typically relate better to examples from their own fields, and McCain provides illustrations everyone can relate to. In addition, the book is organized along the lines of the Karplus Learning Cycle, making it appealing to readers with contrasting learning styles. - This text refers to an out of print or unavailable edition of this title.

The game is on. Do you know how to play? Game theory sets out to explore what can be said about making decisions which go beyond accepting the rules of a game. Since 1942, a well elaborated mathematical apparatus has been developed to do so; but there is more. During the last three decades game theoretic reasoning has popped up in many other fields as well - from engineering to biology and psychology. New simulation tools and network analysis have made game theory omnipresent these days.

This is a two-volume set that provides an introduction to non-cooperative Game Theory. Volume 1 covers the basic concepts, while Volume 2 is devoted to advanced topics.

Game Theory is an excellent topic for a non-majors quantitative course as it develops mathematical models to understand human behavior in social, political, and economic settings. The variety of applications can appeal to a broad range of students. Additionally, students can learn mathematics through playing games, something many choose to do in their spare time!

One of the problems in economics that economists have devoted a considerable amount of attention in prevalent years has been to ensure consistency in the models they employ. Assuming markets to be generally in some state of equilibrium, it is asked under what circumstances such equilibrium is possible.

A guide to implement and analyze Agent-Based Models within the framework of Evolutionary Game Theory, using NetLogo. This book will help you learn new and exciting ways of understanding evolutionary systems.