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Positional Games
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Download or read book Positional Games written by Dan Hefetz and published by Springer. This book was released on 2014-06-13 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Markov Decision Processes and Stochastic Positional Games by : Dmitrii Lozovanu
Download or read book Markov Decision Processes and Stochastic Positional Games written by Dmitrii Lozovanu and published by Springer Nature. This book was released on 2024-02-13 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Theory of Positional Games with Applications in Economics by : Iosif A. Krass
Download or read book The Theory of Positional Games with Applications in Economics written by Iosif A. Krass and published by Academic Press. This book was released on 2014-05-12 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Journal of Positional Chess Ideas: Winning Long Games by : Scott Elliott
Download or read book Journal of Positional Chess Ideas: Winning Long Games written by Scott Elliott and published by Lulu.com. This book was released on 2014-11-23 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Techniques of Positional Play by : Valeri Bronznik
Download or read book Techniques of Positional Play written by Valeri Bronznik and published by New In Chess. This book was released on 2014-02-18 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. ,
Book Synopsis Positional Chess Handbook by : Israel Gelfer
Download or read book Positional Chess Handbook written by Israel Gelfer and published by Courier Corporation. This book was released on 2013-07-24 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Game Theory by : Leon Aganesovich Petrosi?a?n
Download or read book Game Theory written by Leon Aganesovich Petrosi?a?n and published by World Scientific. This book was released on 2016 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mastering Positional Sacrifices by : Merijn van Delft
Download or read book Mastering Positional Sacrifices written by Merijn van Delft and published by New In Chess. This book was released on 2020-06-25 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most chess games of beginners and post-beginners are decided by fairly straightforward tactics. Anyone who wants to progress beyond this level and become a strong club player or a candidate master, needs to understand that somewhat mysterious-looking resource, the positional sacrifice. International Master Merijn van Delft has studied and loved positional sacrifices for as long as he can remember. This non-forcing tool is not just a surprising and highly effective way of creating a decisive advantage during a game. Positional sacrifices are also instruments of superior beauty. Van Delft has created a unique thematic structure for all types of positional sacrifices. He shows the early historical examples, explains which long-term goals are typical for each fundamental theme and presents lots of instructive modern examples. He then concentrates on those sacrifices that have become standard features of positional play. Solving the exercises he has added will further enhance your skills. Playing a positional sacrifice will always require courage. Merijn van Delft takes you by the hand and not only teaches the essential technical know-how, he also helps you to recognize the opportunities when to take the plunge. Mastering Positional Sacrifices is bound to become a modern-day classic.
Download or read book The Status Game written by Will Storr and published by William Collins. This book was released on 2021-09 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Sunday Times bestselling author of The Science of Storytelling comes a bold and ambitious investigation of status that will redefine human culture for our times There's something humans desire even more than gold. It's a fundamental drive that's common to all humanity, cutting across race, gender, age and culture. Our need for it is such that exactly how much of it we possess dramatically effects not only our happiness and well-being but also our physical health. It'sstatus, argues Will Storr. You can't understand human behaviour without understanding The Status Game. This game, which we are all playing, is not only the secret of our success, but also of our most evil behaviour. Everything is subordinate to status, and humans aren't unique in our complicity with it. By reflecting on the various ways humans negotiate this game - through status hierarchies, values, myths and sacred markers, Storr gives readers a master class in this most malevolent of social mysteries.
Book Synopsis Theory of Games and Statistical Decisions by : David A. Blackwell
Download or read book Theory of Games and Statistical Decisions written by David A. Blackwell and published by Courier Corporation. This book was released on 2012-06-14 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Modern Chess Strategy by : Ludek Pachman
Download or read book Modern Chess Strategy written by Ludek Pachman and published by Courier Corporation. This book was released on 2012-04-26 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis American Chess Bulletin by : Hartwig Cassell
Download or read book American Chess Bulletin written by Hartwig Cassell and published by . This book was released on 1915 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Control Under Lack of Information by : Andrew N. Krasovskii
Download or read book Control Under Lack of Information written by Andrew N. Krasovskii and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Thousand End-games ... by : Creassey Edward Cecil Tattersall
Download or read book A Thousand End-games ... written by Creassey Edward Cecil Tattersall and published by . This book was released on 1911 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Innovations and Advances in Computer Sciences and Engineering by : Tarek Sobh
Download or read book Innovations and Advances in Computer Sciences and Engineering written by Tarek Sobh and published by Springer Science & Business Media. This book was released on 2010-03-10 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis Classic Papers in Combinatorics by : Ira Gessel
Download or read book Classic Papers in Combinatorics written by Ira Gessel and published by Springer Science & Business Media. This book was released on 2010-10-06 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume surveys the development of combinatorics since 1930 by presenting in chronological order the fundamental results of the subject proved in over five decades of original papers by: T. van Aardenne-Ehrenfest.- R.L. Brooks.- N.G. de Bruijn.- G.F. Clements.- H.H. Crapo.- R.P. Dilworth.- J. Edmonds.- P. Erdös.- L.R. Ford, Jr.- D.R. Fulkerson.- D. Gale.- L. Geissinger.- I.J. Good.- R.L. Graham.- A.W. Hales.- P. Hall.- P.R. Halmos.- R.I. Jewett.- I. Kaplansky.- P.W. Kasteleyn.- G. Katona.- D.J. Kleitman.- K. Leeb.- B. Lindström.- L. Lovász.- D. Lubell.- C. St. J.A. Nash-Williams.- G. Pólya.-R. Rado.- F.P. Ramsey.- G.-C. Rota.- B.L. Rothschild.- H.J. Ryser.- C. Schensted.- M.P. Schützenberger.- R.P. Stanley.- G. Szekeres.- W.T. Tutte.- H.E. Vaughan.- H. Whitney.
Book Synopsis Playthings in Early Modernity by : Allison Levy
Download or read book Playthings in Early Modernity written by Allison Levy and published by Medieval Institute Publications. This book was released on 2017-02-22 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.