Mathematics

Game Theory

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Distributed Strategic Learning for Wireless Engineers

Hamidou Tembine
October 12, 2017

Although valued for its ability to allow teams to collaborate and foster coalitional behaviors among the participants, game theory’s application to networking systems is not without challenges. Distributed Strategic Learning for Wireless Engineers illuminates the promise of learning in dynamic...

Stochastic H2/H 8 Control: A Nash Game Approach

Weihai Zhang, Lihua Xie, Bor-Sen Chen
July 18, 2017

The H∞ control has been one of the important robust control approaches since the 1980s. This book extends the area to nonlinear stochastic H2/H∞ control, and studies more complex and practically useful mixed H2/H∞ controller synthesis rather than the pure H∞ control. Different from the commonly...

Introduction to Theory of Control in Organizations

Vladimir N. Burkov, Mikhail Goubko, Nikolay Korgin, Dmitry Novikov
July 01, 2017

Introduction to Theory of Control in Organizations explains how methodologies from systems analysis and control theory, including game and graph theory, can be applied to improve organizational management. The theory presented extends the traditional approach to management science by introducing...

Mathematics in Games, Sports, and Gambling: The Games People Play, Second Edition

Ronald J. Gould
November 02, 2015

Mathematics in Games, Sports, and Gambling: The Games People Play, Second Edition demonstrates how discrete probability, statistics, and elementary discrete mathematics are used in games, sports, and gambling situations. With emphasis on mathematical thinking and problem solving, the text draws on...

Acting Strategically Using Drama Theory

James William Bryant
October 09, 2015

In today’s confrontational and connected world, communication is the key strategic act. This book uses drama theory—a radical extension of game theory—to show how best to communicate so as to manage the emotionally charged confrontations occurring in any worthwhile relationship. Alongside a toolset...

Essential Mathematics for Games and Interactive Applications, Third Edition

James M. Van Verth, Lars M. Bishop
August 26, 2015

Expert Guidance on the Math Needed for 3D Game ProgrammingDeveloped from the authors’ popular Game Developers Conference (GDC) tutorial, Essential Mathematics for Games and Interactive Applications, Third Edition illustrates the importance of mathematics in 3D programming. It shows you how to...

Adversarial Risk Analysis

David L. Banks, Jesus M. Rios Aliaga, David Rios Insua
June 30, 2015

Flexible Models to Analyze Opponent Behavior A relatively new area of research, adversarial risk analysis (ARA) informs decision making when there are intelligent opponents and uncertain outcomes. Adversarial Risk Analysis develops methods for allocating defensive or offensive resources against...

The Mathematics of Games: An Introduction to Probability

David G. Taylor
December 01, 2014

The Mathematics of Games: An Introduction to Probability takes an inquiry-based approach to teaching the standard material for an introductory probability course. It also discusses different games and ideas that relate to the law of large numbers, as well as some more mathematical topics not...

Reflexion and Control: Mathematical Models

Dmitry A. Novikov, Alexander G. Chkhartishvili
March 03, 2014

This book is dedicated to modern approaches to mathematical modeling of reflexive processes in control. The authors consider reflexive games that describe the gametheoretical interaction of agents making decisions based on a hierarchy of beliefs regarding (1) essential parameters (informational...

Mathematical Card Magic: Fifty-Two New Effects

Colm Mulcahy
September 04, 2013

Mathematical card effects offer both beginning and experienced magicians an opportunity to entertain with a minimum of props. Featuring mostly original creations, Mathematical Card Magic: Fifty-Two New Effects presents an entertaining look at new mathematically based card tricks. Each chapter...

Game Design Theory: A New Philosophy for Understanding Games

Keith Burgun
August 13, 2012

Despite the proliferation of video games in the twenty-first century, the theory of game design is largely underdeveloped, leaving designers on their own to understand what games really are. Helping you produce better games, Game Design Theory: A New Philosophy for Understanding Games presents...

Games, Puzzles, and Computation

Robert A. Hearn, Erik D. Demaine
June 30, 2009

The authors show that there are underlying mathematical reasons for why games and puzzles are challenging (and perhaps why they are so much fun). They also show that games and puzzles can serve as powerful models of computation—quite different from the usual models of automata and circuits—offering...

Conferences

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