Positional Games

Author : Dan Hefetz,Michael Krivelevich,Miloš Stojaković,Tibor Szabó
Publisher : Springer
Page : 154 pages
File Size : 55,8 Mb
Release : 2014-06-13
Category : Mathematics
ISBN : 9783034808255

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Positional Games by Dan Hefetz,Michael Krivelevich,Miloš Stojaković,Tibor Szabó Pdf

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.

Author : Dmitrii Lozovanu,Stefan Wolfgang Pickl
Publisher : Springer Nature
Page : 412 pages
File Size : 40,7 Mb
Release : 2024-02-13
Category : Business & Economics
ISBN : 9783031401800

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Markov Decision Processes and Stochastic Positional Games by Dmitrii Lozovanu,Stefan Wolfgang Pickl Pdf

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.

Author : Iosif A. Krass,Shawkat M. Hammoudeh
Publisher : Academic Press
Page : 236 pages
File Size : 44,9 Mb
Release : 2014-05-12
Category : Business & Economics
ISBN : 9781483258089

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The Theory of Positional Games with Applications in Economics by Iosif A. Krass,Shawkat M. Hammoudeh Pdf

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.

Author : Scott Elliott
Publisher : Lulu.com
Page : 181 pages
File Size : 49,6 Mb
Release : 2014-11-23
Category : Games & Activities
ISBN : 9781312699663

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Journal of Positional Chess Ideas: Winning Long Games by Scott Elliott Pdf

World Chess Champion Magnus Carlsen is the inspiration behind this book because of his ability to play all phases of the game equally well: opening, middle-game, and endgame. The aim of this book is to improve the positional level of play in all three phases of intermediate tournament players.

Author : Israel Gelfer
Publisher : Courier Corporation
Page : 232 pages
File Size : 41,7 Mb
Release : 2013-07-24
Category : Games & Activities
ISBN : 9780486316796

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Positional Chess Handbook by Israel Gelfer Pdf

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.

Author : Leon Aganesovich Petrosi?a?n,Nikola? Anatol?evich Zenkevich
Publisher : World Scientific
Page : 564 pages
File Size : 54,5 Mb
Release : 2016
Category : Mathematics
ISBN : 9789814725392

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Game Theory by Leon Aganesovich Petrosi?a?n,Nikola? Anatol?evich Zenkevich Pdf

Game theory is a branch of modern applied mathematics that aims to analyze various problems of conflict between parties that have opposed, similar or simply different interests. Games are grouped into several classes according to some important features. In this volume zero-sum two-person games, strategic n-person games in normal form, cooperative games, games in extensive form with complete and incomplete information, differential pursuit games and differential cooperative n-person games are considered.

Author : Michael T. Goodrich,Roberto Tamassia,Michael H. Goldwasser
Publisher : John Wiley & Sons
Page : 736 pages
File Size : 42,5 Mb
Release : 2014-01-28
Category : Computers
ISBN : 9781118771334

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Data Structures and Algorithms in Java by Michael T. Goodrich,Roberto Tamassia,Michael H. Goldwasser Pdf

The design and analysis of efficient data structures has long been recognized as a key component of the Computer Science curriculum. Goodrich, Tomassia and Goldwasser's approach to this classic topic is based on the object-oriented paradigm as the framework of choice for the design of data structures. For each ADT presented in the text, the authors provide an associated Java interface. Concrete data structures realizing the ADTs are provided as Java classes implementing the interfaces. The Java code implementing fundamental data structures in this book is organized in a single Java package, net.datastructures. This package forms a coherent library of data structures and algorithms in Java specifically designed for educational purposes in a way that is complimentary with the Java Collections Framework.

Author : David A. Blackwell,M. A. Girshick
Publisher : Courier Corporation
Page : 388 pages
File Size : 55,8 Mb
Release : 2012-06-14
Category : Mathematics
ISBN : 9780486150895

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Theory of Games and Statistical Decisions by David A. Blackwell,M. A. Girshick Pdf

Evaluating statistical procedures through decision and game theory, as first proposed by Neyman and Pearson and extended by Wald, is the goal of this problem-oriented text in mathematical statistics. First-year graduate students in statistics and other students with a background in statistical theory and advanced calculus will find a rigorous, thorough presentation of statistical decision theory treated as a special case of game theory. The work of Borel, von Neumann, and Morgenstern in game theory, of prime importance to decision theory, is covered in its relevant aspects: reduction of games to normal forms, the minimax theorem, and the utility theorem. With this introduction, Blackwell and Professor Girshick look at: Values and Optimal Strategies in Games; General Structure of Statistical Games; Utility and Principles of Choice; Classes of Optimal Strategies; Fixed Sample-Size Games with Finite Ω and with Finite A; Sufficient Statistics and the Invariance Principle; Sequential Games; Bayes and Minimax Sequential Procedures; Estimation; and Comparison of Experiments. A few topics not directly applicable to statistics, such as perfect information theory, are also discussed. Prerequisites for full understanding of the procedures in this book include knowledge of elementary analysis, and some familiarity with matrices, determinants, and linear dependence. For purposes of formal development, only discrete distributions are used, though continuous distributions are employed as illustrations. The number and variety of problems presented will be welcomed by all students, computer experts, and others using statistics and game theory. This comprehensive and sophisticated introduction remains one of the strongest and most useful approaches to a field which today touches areas as diverse as gambling and particle physics.

Author : Ludek Pachman
Publisher : Courier Corporation
Page : 336 pages
File Size : 47,7 Mb
Release : 2012-04-26
Category : Games & Activities
ISBN : 9780486135700

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Modern Chess Strategy by Ludek Pachman Pdf

The use of the queen, the active king, exchanges, pawn play, the center, weak squares, more. Often considered the most important book on strategy. 298 diagrams.

Author : Andrew N. Krasovskii,Nikolai N. Krasovskii
Publisher : Springer Science & Business Media
Page : 335 pages
File Size : 48,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461225683

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Control Under Lack of Information by Andrew N. Krasovskii,Nikolai N. Krasovskii Pdf

The mathematical theory of control, essentially developed during the last decades, is used for solving many problems of practical importance. The efficiency of its applications has increased in connection with the refine ment of computer techniques and the corresponding mathematical soft ware. Real-time control schemes that include computer-realized blocks are, for example, attracting ever more attention. The theory of control provides abstract models of controlled systems and the processes realized in them. This theory investigates these models, proposes methods for solv ing the corresponding problems and indicates ways to construct control algorithms and the methods of their computer realization. The usual scheme of control is the following: There is an object F whose state at every time instant t is described by a phase variable x. The object is subjected to a control action u. This action is generated by a control device U. The object is also affected by a disturbance v generated by the environment. The information on the state of the system is supplied to the generator U by the informational variable y. The mathematical character of the variables x, u, v and yare determined by the nature of the system.

Author : Tarek Sobh
Publisher : Springer Science & Business Media
Page : 569 pages
File Size : 55,7 Mb
Release : 2010-03-10
Category : Technology & Engineering
ISBN : 9789048136582

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Innovations and Advances in Computer Sciences and Engineering by Tarek Sobh Pdf

Innovations and Advances in Computer Sciences and Engineering includes a set of rigorously reviewed world-class manuscripts addressing and detailing state-of-the-art research projects in the areas of Computer Science, Software Engineering, Computer Engineering, and Systems Engineering and Sciences. Innovations and Advances in Computer Sciences and Engineering includes selected papers form the conference proceedings of the International Conference on Systems, Computing Sciences and Software Engineering (SCSS 2008) which was part of the International Joint Conferences on Computer, Information and Systems Sciences and Engineering (CISSE 2008).

Author : Allison Levy
Publisher : Medieval Institute Publications
Page : 354 pages
File Size : 43,5 Mb
Release : 2017-02-22
Category : History
ISBN : 9781580442619

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Playthings in Early Modernity by Allison Levy Pdf

An innovative volume of fifteen interdisciplinary essays at the nexus of material culture, performance studies, and game theory, Playthings in Early Modernity emphasizes the rules of the game(s) as well as the breaking of those rules. Thus, the titular "plaything" is understood as both an object and a person, and play, in the early modern world, is treated not merely as a pastime, a leisurely pursuit, but as a pivotal part of daily life, a strategic psychosocial endeavor.

Author : Vadim Malvone,Aniello Murano
Publisher : Springer Nature
Page : 571 pages
File Size : 44,5 Mb
Release : 2023-09-06
Category : Computers
ISBN : 9783031432644

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Multi-Agent Systems by Vadim Malvone,Aniello Murano Pdf

This volume LNCS 14282 constitutes the refereed proceedings of the 20th European Conference EUMAS 2023, held in Naples, Italy, during September 2023. This volume includes 24 full papers and 5 short papers, carefully selected from 47 submissions. Additionally, the volume features 16 short papers, rigorously reviewed from 20 submissions for the PhD day. The conference focused on the theory and practice of autonomous agents and multi-agent systems, covering a wide range of topics.

Author : Lloyd S. Shapley,Martin Shubik
Publisher : Unknown
Page : 108 pages
File Size : 51,8 Mb
Release : 1972
Category : Economics
ISBN : NWU:35556017529744

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Game Theory in Economics by Lloyd S. Shapley,Martin Shubik Pdf

Author : Samuel Reshevsky
Publisher : Unknown
Page : 0 pages
File Size : 51,9 Mb
Release : 2002
Category : Chess
ISBN : 081293475X

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The Art of Positional Play by Samuel Reshevsky Pdf

Written by a legendary grandmaster, this book is a,collection of top-level games focusing on,positional elements.