Positional Games
Positional Games

Author: Dan Hefetz

Publisher: Springer

Published: 2014-06-13

Total Pages: 154

ISBN-13: 3034808259

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This text is based on a lecture course given by the authors in the framework of Oberwolfach Seminars at the Mathematisches Forschungsinstitut Oberwolfach in May, 2013. It is intended to serve as a thorough introduction to the rapidly developing field of positional games. This area constitutes an important branch of combinatorics, whose aim it is to systematically develop an extensive mathematical basis for a variety of two player perfect information games. These ranges from such popular games as Tic-Tac-Toe and Hex to purely abstract games played on graphs and hypergraphs. The subject of positional games is strongly related to several other branches of combinatorics such as Ramsey theory, extremal graph and set theory, and the probabilistic method. These notes cover a variety of topics in positional games, including both classical results and recent important developments. They are presented in an accessible way and are accompanied by exercises of varying difficulty, helping the reader to better understand the theory. The text will benefit both researchers and graduate students in combinatorics and adjacent fields.

Markov Decision Processes and Stochastic Positional Games
Markov Decision Processes and Stochastic Positional Games

Author: Dmitrii Lozovanu

Publisher: Springer Nature

Published: 2024-02-13

Total Pages: 412

ISBN-13: 3031401808

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This book presents recent findings and results concerning the solutions of especially finite state-space Markov decision problems and determining Nash equilibria for related stochastic games with average and total expected discounted reward payoffs. In addition, it focuses on a new class of stochastic games: stochastic positional games that extend and generalize the classic deterministic positional games. It presents new algorithmic results on the suitable implementation of quasi-monotonic programming techniques. Moreover, the book presents applications of positional games within a class of multi-objective discrete control problems and hierarchical control problems on networks. Given its scope, the book will benefit all researchers and graduate students who are interested in Markov theory, control theory, optimization and games.

The Theory of Positional Games with Applications in Economics
The Theory of Positional Games with Applications in Economics

Author: Iosif A. Krass

Publisher: Academic Press

Published: 2014-05-12

Total Pages: 236

ISBN-13: 1483258084

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The Theory of Positional Games with Applications in Economics deals with information and probabilistic extension of games in extensive forms, in normal forms, and to the existence of solutions of infinite games. The text also explains the application of existence of a solution to a von Neumann model with conflict interaction, and the theory of differential games based on Isaac's equations. The text describes in detail the definitions of a difference game, control sets of players, general strategies, optimal behavioral strategies. Isaac's approach to differential games is based primarily on the assumption of the sufficient smoothness of a Bellman's function. Bellman's function becomes smooth if control functions satisfy certain regularity conditions and smoothness conditions. Other approaches to differential games include the geometric properties of games and those of Avner Friedman and Nokolai Krasovsky. The computation of behavioral strategies in the Friedman approach is primarily based on Isaac's approach. Krasovky's approach is somewhat a generalization of both the geometrical approach and Friedman's approximation approach. The book is suitable for economists, statistician, mathematicians, students or professors of economics, business, and games theory.

Techniques of Positional Play
Techniques of Positional Play

Author: Valeri Bronznik

Publisher: New In Chess

Published: 2014-02-18

Total Pages: 255

ISBN-13: 9056914731

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Opening preparation is useful, but understanding the middlegame is much more important. This book, an improved edition of a Russian classic, teaches amateur chess players 45 extremely effective skills in a crystal-clear manner. Quite a few of the ideas presented here will surprise the reader, because they offer solutions for problems the club player is only subconsciously aware. How do you activate your rook pawn? How do you prevent your opponent from opening a file? How do you restrict the efficacy of your opponents pieces? Which rook belongs on the c-, d- or e-file? What is the best way to exchange a piece? How do you castle artificially? In most cases the techniques are easy to understand and memorize. Bronznik and Terekhin do not burden the reader with deep analysis and only present those variations that are really necessary to get the point. There is a special training section at the end of the book where you can test your skills. ,

Positional Chess Handbook
Positional Chess Handbook

Author: Israel Gelfer

Publisher: Courier Corporation

Published: 2013-07-24

Total Pages: 232

ISBN-13: 0486316793

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Learn to develop a more powerful strategic game. Key squares, bad bishops, pawn structures, other examples appear in ascending difficulty, with cross-references. For players at every level. 495 black-and-white illustrations.

Frontiers of Dynamic Games
Frontiers of Dynamic Games

Author: Leon A. Petrosyan

Publisher: Springer Nature

Published: 2019-09-25

Total Pages: 345

ISBN-13: 3030236994

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This book is devoted to game theory and its applications to environmental problems, economics, and management. It collects contributions originating from the 12th International Conference on “Game Theory and Management” 2018 (GTM2018) held at Saint Petersburg State University, Russia, from 27 to 29 June 2018.

Advances in Computer Games
Advances in Computer Games

Author: Mark H.M. Winands

Publisher: Springer

Published: 2017-12-21

Total Pages: 254

ISBN-13: 3319716492

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This book constitutes the refereed conference proceedings of the 15th International Conference, ACG 2017, held in Leiden, The Netherlands, in July 2017.The 19 revised full papers were selected from 23 submissions and cover a wide range of computer games. They are grouped in four classes according to the order of publication: games and puzzles, go and chess, machine learning and MCTS, and gaming.

Algorithmic Aspects in Information and Management
Algorithmic Aspects in Information and Management

Author: Andrew Goldberg

Publisher: Springer

Published: 2009-06-18

Total Pages: 335

ISBN-13: 3642021581

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This book constitutes the proceedings of the 5th International Conference on Algorithmic Aspects in Information Management, AAIM 2009, held in San Francisco, CA, USA, in June 2009. The 25 papers presented together with the abstracts of two invited talks were carefully reviewed and selected for inclusion in this book. While the areas of information management and management science are full of algorithmic challenges, the proliferation of data (Internet, biology, finance etc) has called for the design of efficient and scalable algorithms and data structures for their management and processing. This conference is intended for original algorithmic research on immediate applications and/or fundamental problems pertinent to information management and management science, broadly construed. The conference aims at bringing together researchers in Computer Science, Operations Research, Economics, Game Theory, and related disciplines.

Lectures in Game Theory for Computer Scientists
Lectures in Game Theory for Computer Scientists

Author: Krzysztof R. Apt

Publisher: Cambridge University Press

Published: 2011-01-06

Total Pages: 308

ISBN-13: 113949418X

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Games provide mathematical models for interaction. Numerous tasks in computer science can be formulated in game-theoretic terms. This fresh and intuitive way of thinking through complex issues reveals underlying algorithmic questions and clarifies the relationships between different domains. This collection of lectures, by specialists in the field, provides an excellent introduction to various aspects of game theory relevant for applications in computer science that concern program design, synthesis, verification, testing and design of multi-agent or distributed systems. Originally devised for a Spring School organised by the GAMES Networking Programme in 2009, these lectures have since been revised and expanded, and range from tutorials concerning fundamental notions and methods to more advanced presentations of current research topics. This volume is a valuable guide to current research on game-based methods in computer science for undergraduate and graduate students. It will also interest researchers working in mathematical logic, computer science and game theory.

More Games of No Chance
More Games of No Chance

Author: Richard Nowakowski

Publisher: Cambridge University Press

Published: 2002-11-25

Total Pages: 552

ISBN-13: 9780521808323

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This 2003 book provides an analysis of combinatorial games - games not involving chance or hidden information. It contains a fascinating collection of articles by some well-known names in the field, such as Elwyn Berlekamp and John Conway, plus other researchers in mathematics and computer science, together with some top game players. The articles run the gamut from theoretical approaches (infinite games, generalizations of game values, 2-player cellular automata, Alpha-Beta pruning under partial orders) to other games (Amazons, Chomp, Dot-and-Boxes, Go, Chess, Hex). Many of these advances reflect the interplay of the computer science and the mathematics. The book ends with a bibliography by A. Fraenkel and a list of combinatorial game theory problems by R. K. Guy. Like its predecessor, Games of No Chance, this should be on the shelf of all serious combinatorial games enthusiasts.