Chapter I Antichess
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A Combinatorial Game Theoretic Analysis of Chess Endgames
A COMBINATORIAL GAME THEORETIC ANALYSIS OF CHESS ENDGAMES QINGYUN WU, FRANK YU,¨ MICHAEL LANDRY 1. Abstract In this paper, we attempt to analyze Chess endgames using combinatorial game theory. This is a challenge, because much of combinatorial game theory applies only to games under normal play, in which players move according to a set of rules that define the game, and the last player to move wins. A game of Chess ends either in a draw (as in the game above) or when one of the players achieves checkmate. As such, the game of chess does not immediately lend itself to this type of analysis. However, we found that when we redefined certain aspects of chess, there were useful applications of the theory. (Note: We assume the reader has a knowledge of the rules of Chess prior to reading. Also, we will associate Left with white and Right with black). We first look at positions of chess involving only pawns and no kings. We treat these as combinatorial games under normal play, but with the modification that creating a passed pawn is also a win; the assumption is that promoting a pawn will ultimately lead to checkmate. Just using pawns, we have found chess positions that are equal to the games 0, 1, 2, ?, ", #, and Tiny 1. Next, we bring kings onto the chessboard and construct positions that act as game sums of the numbers and infinitesimals we found. The point is that these carefully constructed positions are games of chess played according to the rules of chess that act like sums of combinatorial games under normal play. -
Of Kings and Pawns
OF KINGS AND PAWNS CHESS STRATEGY IN THE ENDGAME ERIC SCHILLER Universal Publishers Boca Raton • 2006 Of Kings and Pawns: Chess Strategy in the Endgame Copyright © 2006 Eric Schiller All rights reserved. Universal Publishers Boca Raton , Florida USA • 2006 ISBN: 1-58112-909-2 (paperback) ISBN: 1-58112-910-6 (ebook) Universal-Publishers.com Preface Endgames with just kings and pawns look simple but they are actually among the most complicated endgames to learn. This book contains 26 endgame positions in a unique format that gives you not only the starting position, but also a critical position you should use as a target. Your workout consists of looking at the starting position and seeing if you can figure out how you can reach the indicated target position. Although this hint makes solving the problems easier, there is still plenty of work for you to do. The positions have been chosen for their instructional value, and often combined many different themes. You’ll find examples of the horse race, the opposition, zugzwang, stalemate and the importance of escorting the pawn with the king marching in front, among others. When you start out in chess, king and pawn endings are not very important because usually there is a great material imbalance at the end of the game so one side is winning easily. However, as you advance through chess you’ll find that these endgame positions play a great role in determining the outcome of the game. It is critically important that you understand when a single pawn advantage or positional advantage will lead to a win and when it will merely wind up drawn with best play. -
Solved Openings in Losing Chess
1 Solved Openings in Losing Chess Mark Watkins, School of Mathematics and Statistics, University of Sydney 1. INTRODUCTION Losing Chess is a chess variant where each player tries to lose all one’s pieces. As the naming of “Giveaway” variants has multiple schools of terminology, we state for definiteness that captures are compulsory (a player with multiple captures chooses which to make), a King can be captured like any other piece, Pawns can promote to Kings, and castling is not legal. There are competing rulesets for stalemate: International Rules give the win to the player on move, while FICS (Free Internet Chess Server) Rules gives the win to the player with fewer pieces (and a draw if equal). Gameplay under these rulesets is typically quite similar.1 Unless otherwise stated, we consider the “joint” FICS/International Rules, where a stalemate is a draw unless it is won under both rulesets. There does not seem to be a canonical place for information about Losing Chess. The ICGA webpage [H] has a number of references (notably [Li]) and is a reasonable historical source, though the page is quite old and some of the links are broken. Similarly, there exist a number of piecemeal Internet sites (I found the most useful ones to be [F1], [An], and [La]), but again some of these have not been touched in 5-10 years. Much of the information was either outdated or tangential to our aim of solving openings (in particular responses to 1. e3), We started our work in late 2011. The long-term goal was to weakly solve the game, presumably by showing that 1. -
UIL Text 111212
UIL Chess Puzzle Solvin g— Fall/Winter District 2016-2017 —Grades 4 and 5 IMPORTANT INSTRUCTIONS: [Test-administrators, please read text in this box aloud.] This is the UIL Chess Puzzle Solving Fall/Winter District Test for grades four and five. There are 20 questions on this test. You have 30 minutes to complete it. All questions are multiple choice. Use the answer sheet to mark your answers. Multiple choice answers pur - posely do not indicate check, checkmate, or e.p. symbols. You will be awarded one point for each correct answer. No deductions will be made for incorrect answers on this test. Finishing early is not rewarded, even to break ties. So use all of your time. Some of the questions may be hard, but all of the puzzles are interesting! Good luck and have fun! If you don’t already know chess notation, reading and referring to the section below on this page will help you. How to read and answer questions on this test Piece Names Each chessman can • To answer the questions on this test, you’ll also be represented need to know how to read chess moves. It’s by a symbol, except for the pawn. simple to do. (Figurine Notation) K King Q • Every square on the board has an “address” Queen R made up of a letter and a number. Rook B Bishop N Knight Pawn a-h (We write the file it’s on.) • To make them easy to read, the questions on this test use the figurine piece symbols on the right, above. -
Bibliography of Traditional Board Games
Bibliography of Traditional Board Games Damian Walker Introduction The object of creating this document was to been very selective, and will include only those provide an easy source of reference for my fu- passing mentions of a game which give us use- ture projects, allowing me to find information ful information not available in the substan- about various traditional board games in the tial accounts (for example, if they are proof of books, papers and periodicals I have access an earlier or later existence of a game than is to. The project began once I had finished mentioned elsewhere). The Traditional Board Game Series of leaflets, The use of this document by myself and published on my web site. Therefore those others has been complicated by the facts that leaflets will not necessarily benefit from infor- a name may have attached itself to more than mation in many of the sources below. one game, and that a game might be known Given the amount of effort this document by more than one name. I have dealt with has taken me, and would take someone else to this by including every name known to my replicate, I have tidied up the presentation a sources, using one name as a \primary name" little, included this introduction and an expla- (for instance, nine mens morris), listing its nation of the \families" of board games I have other names there under the AKA heading, used for classification. and having entries for each synonym refer the My sources are all in English and include a reader to the main entry. -
Lessons Learned: a Security Analysis of the Internet Chess Club
Lessons Learned: A Security Analysis of the Internet Chess Club John Black Martin Cochran Ryan Gardner University of Colorado Department of Computer Science UCB 430 Boulder, CO 80309 USA [email protected], [email protected], [email protected] Abstract between players. Each move a player made was transmit- ted (in the clear) to an ICS server, which would then relay The Internet Chess Club (ICC) is a popular online chess that move to the opponent. The server enforced the rules of server with more than 30,000 members worldwide including chess, recorded the position of the game after each move, various celebrities and the best chess players in the world. adjusted the ratings of the players according to the outcome Although the ICC website assures its users that the security of the game, and so forth. protocol used between client and server provides sufficient Serious chess players use a pair of clocks to enforce security for sensitive information to be transmitted (such as the requirement that players move in a reasonable amount credit card numbers), we show this is not true. In partic- of time: suppose Alice is playing Bob; at the beginning ular we show how a passive adversary can easily read all of a game, each player is allocated some number of min- communications with a trivial amount of computation, and utes. When Alice is thinking, her time ticks down; after how an active adversary can gain virtually unlimited pow- she moves, Bob begins thinking as his time ticks down. If ers over an ICC user. -
Chess Strategies for Beginners II Top Books for Beginners Chess Thinking
Chess Strategies for Beginners II Stop making silly Moves! Learn Chess Strategies for Beginners to play better chess. Stop losing making dumb moves. "When you are lonely, when you feel yourself an alien in the world, play Chess. This will raise your spirits and be your counselor in war." Aristotle Learn chess strategies first at Chess Strategies for Beginners I. After that come back here. Chess Formation Strategy I show you now how to start your game. Before you start to play you should know where to place your pieces - know the right chess formation strategy. Where do you place your pawns, knights and bishops, when do you castle and what happens to the queen and the rooks. When should you attack? Or do you have to attack at all? Questions over questions. I will give you a rough idea now. Please study the following chess strategies for beginners carefully. Read the Guidelines: Chess Formation Strategy. WRITE YOUR REVIEW ASK QUESTIONS HERE! Top Books For Beginners For beginners I recommend Logical Chess - Move by Move by Chernev because it explains every move. Another good book is the Complete Idiot's Guide to Chess that received very good reviews. Chess Thinking Now try to get mentally into the real game and try to understand some of the following positions. Some are difficult to master, but don't worry, just repeat them the next day to get used to chess thinking. Your brain has to adjust, that's all there is to it. Win some Positions here! - Chess Puzzles Did you manage it all right? It is necessary that you understand the following basic chess strategies for beginners called - Endgames or Endings, using the heavy pieces.(queen and rook are called heavy pieces) Check them out now! Rook and Queen Endgames - Basic Chess Strategies How a Beginner plays Chess Replay the games of a beginner. -
Fundamental Endings CYRUS LAKDAWALA
First Steps : Fundamental Endings CYRUS LAKDAWALA www.everymanchess.com About the Author Cyrus Lakdawala is an International Master, a former National Open and American Open Cham- pion, and a six-time State Champion. He has been teaching chess for over 30 years, and coaches some of the top junior players in the U.S. Also by the Author: Play the London System A Ferocious Opening Repertoire The Slav: Move by Move 1...d6: Move by Move The Caro-Kann: Move by Move The Four Knights: Move by Move Capablanca: Move by Move The Modern Defence: Move by Move Kramnik: Move by Move The Colle: Move by Move The Scandinavian: Move by Move Botvinnik: Move by Move The Nimzo-Larsen Attack: Move by Move Korchnoi: Move by Move The Alekhine Defence: Move by Move The Trompowsky Attack: Move by Move Carlsen: Move by Move The Classical French: Move by Move Larsen: Move by Move 1...b6: Move by Move Bird’s Opening: Move by Move Petroff Defence: Move by Move Fischer: Move by Move Anti-Sicilians: Move by Move Opening Repertoire ... c6 First Steps: the Modern 3 Contents About the Author 3 Bibliography 5 Introduction 7 1 Essential Knowledge 9 2 Pawn Endings 23 3 Rook Endings 63 4 Queen Endings 119 5 Bishop Endings 144 6 Knight Endings 172 7 Minor Piece Endings 184 8 Rooks and Minor Pieces 206 9 Queen and Other Pieces 243 4 Introduction Why Study Chess at its Cellular Level? A chess battle is no less intense for its lack of brevity. Because my messianic mission in life is to make the chess board a safer place for students and readers, I break the seal of confessional and tell you that some students consider the idea of enjoyable endgame study an oxymoron. -
Read Book Winning Chess Strategies
WINNING CHESS STRATEGIES PDF, EPUB, EBOOK Yasser Seirawan | 272 pages | 01 May 2005 | EVERYMAN CHESS | 9781857443851 | English | London, United Kingdom Winning Chess Strategies PDF Book Analyse Your Chess. Beyond what you can calculate, you must rely on strategy to guide you in finding the best plans and moves in a given position. Your biggest concern is controlling the center tiles, specifically the four in the very middle, when playing chess. One of the world's most creative players combines his attacking talent with the traditionally solid French structure, resulting in a powerful armoury of opening weapons. Later you'll notice that on occasion rarely it's best to ignore a principle of chess strategy in the opening; nothing here is carved in granite. Learn to castle. Article Summary. Press forward in groups. I have dozens of books, more than my local library, but they r not too precise to the point like your lessons. If you keep these points in your head, you'll find you can easily start improvising multi-move plans to win the game: Develop multiple pieces Rooks, Knights, Queen, Bishop early and often. Seldom will you move the same piece twice in the chess opening. In the endgame, the fight is less complicated and the weaknesses can be exploited easier. In the Endgame, however, Bishops can quickly move across the entire, much emptier board, while Knights are still slow. Products Posts. Nerves of steel have assured Magnus Carlsen supremacy in the chess world. Most games on this level are not decided by tiny advantages obtained in the opening. -
Rules & Regulations for the Candidates Tournament of the FIDE
Rules & regulations for the Candidates Tournament of the FIDE World Championship cycle 2012-2014 1. Organisation 1. 1 The Candidates Tournament to determine the challenger for the 2014 World Chess Championship Match shall be organised in the first quarter of 2014 and represent an integral part of the World Chess Championship regulations for the cycle 2012- 2014. Eight (8) players will participate in the Candidates Tournament and the winner qualifies for the World Chess Championship Match in the first quarter of 2014. 1. 2 Governing Body: the World Chess Federation (FIDE). For the purpose of creating the regulations, communicating with the players and negotiating with the organisers, the FIDE President has nominated a committee, hereby called the FIDE Commission for World Championships and Olympiads (hereinafter referred to as WCOC) 1. 3 FIDE, or its appointed commercial agency, retains all commercial and media rights of the Candidates Tournament, including internet rights. These rights can be transferred to the organiser upon agreement. 1. 4 Upon recommendation by the WCOC, the body responsible for any changes to these Regulations is the FIDE Presidential Board. 1. 5 At any time in the course of the application of these Regulations, any circumstances that are not covered or any unforeseen event shall be referred to the President of FIDE for final decision. 2. Qualification for the 2014 Candidates Tournament The players who qualify for the Candidates Tournament are determined according to the following, in order of priority: 2. 1 World Championship Match 2013 - The player who lost the 2013 World Championship Match qualifies. 2. 2 World Cup 2013 - The two (2) top winners of the World Cup 2013 qualify. -
No. 123 - (Vol.VIH)
No. 123 - (Vol.VIH) January 1997 Editorial Board editors John Roycrqfttf New Way Road, London, England NW9 6PL Edvande Gevel Binnen de Veste 36, 3811 PH Amersfoort, The Netherlands Spotlight-column: J. Heck, Neuer Weg 110, D-47803 Krefeld, Germany Opinions-column: A. Pallier, La Mouziniere, 85190 La Genetouze, France Treasurer: J. de Boer, Zevenenderdrffi 40, 1251 RC Laren, The Netherlands EDITORIAL achievement, recorded only in a scientific journal, "The chess study is close to the chess game was not widely noticed. It was left to the dis- because both study and game obey the same coveries by Ken Thompson of Bell Laboratories rules." This has long been an argument used to in New Jersey, beginning in 1983, to put the boot persuade players to look at studies. Most players m. prefer studies to problems anyway, and readily Aside from a few upsets to endgame theory, the give the affinity with the game as the reason for set of 'total information' 5-raan endgame their preference. Your editor has fought a long databases that Thompson generated over the next battle to maintain the literal truth of that ar- decade demonstrated that several other endings gument. It was one of several motivations in might require well over 50 moves to win. These writing the final chapter of Test Tube Chess discoveries arrived an the scene too fast for FIDE (1972), in which the Laws are separated into to cope with by listing exceptions - which was the BMR (Board+Men+Rules) elements, and G first expedient. Then in 1991 Lewis Stiller and (Game) elements, with studies firmly identified Noam Elkies using a Connection Machine with the BMR realm and not in the G realm. -
Pop-Up Course Catalogue (May 2020) Please Read Through the Following Course Descriptions to Help You Make Your Choices for Indep
Pop-Up Course Catalogue (May 2020) Please read through the following course descriptions to help you make your choices for independent work and pop-up courses during the weeks of May 11th through the 29th. You will complete a separate Google Form indicating your choices for pop-up courses. Three-Week Offerings (These are classes that will run for all three weeks; you must take all three weeks unless otherwise indicated.) Course Name Teacher Course Description Things Are Looking Up: Ms. Labieniec In this course students will explore some of the most fundamental aspects Astronomy and Your of astronomy with the goal of achieving a better understanding of our Backyard Sky place in the cosmos. Week 1: The scale of space, Week 2: The Scale of time, Week 3: We are stardust. Students will learn to recognize common objects in the night sky and will maintain a weekly observing journal. No telescope necessary! Kia Ora: The Films of Ms. Hatcher In February 2020, Taika Waititi became the first person of indigenous Taika Waititi descent to win an Oscar for his screenplay of Jojo Rabbit. Before he became a fixture in Hollywood, Waititi made a name for himself by writing, directing, and acting in quirky independent films in his native New Zealand. This course will cover three of his first full-length films: The Hunt for the Wilderpeople (week 1), Boy (week 2), and Eagle vs. Shark (week 3). We will explore the ways that Waititi combines his Maori heritage, his Kiwi sense of humor, and his love of the natural beauty of New Zealand in his films.