The 100 Endgames You Must Know Workbook
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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. -
Computer Analysis of World Chess Champions 65
Computer Analysis of World Chess Champions 65 COMPUTER ANALYSIS OF WORLD CHESS CHAMPIONS1 Matej Guid2 and Ivan Bratko2 Ljubljana, Slovenia ABSTRACT Who is the best chess player of all time? Chess players are often interested in this question that has never been answered authoritatively, because it requires a comparison between chess players of different eras who never met across the board. In this contribution, we attempt to make such a comparison. It is based on the evaluation of the games played by the World Chess Champions in their championship matches. The evaluation is performed by the chess-playing program CRAFTY. For this purpose we slightly adapted CRAFTY. Our analysis takes into account the differences in players' styles to compensate the fact that calm positional players in their typical games have less chance to commit gross tactical errors than aggressive tactical players. Therefore, we designed a method to assess the difculty of positions. Some of the results of this computer analysis might be quite surprising. Overall, the results can be nicely interpreted by a chess expert. 1. INTRODUCTION Who is the best chess player of all time? This is a frequently posed and interesting question, to which there is no well founded, objective answer, because it requires a comparison between chess players of different eras who never met across the board. With the emergence of high-quality chess programs a possibility of such an objective comparison arises. However, so far computers were mostly used as a tool for statistical analysis of the players' results. Such statistical analyses often do neither reect the true strengths of the players, nor do they reect their quality of play. -
ZUGZWANGS in CHESS STUDIES G.Mcc. Haworth,1 H.M.J.F. Van Der
See discussions, stats, and author profiles for this publication at: https://www.researchgate.net/publication/290629887 Zugzwangs in Chess Studies Article in ICGA journal · June 2011 DOI: 10.3233/ICG-2011-34205 CITATION READS 1 2,142 3 authors: Guy McCrossan Haworth Harold M.J.F. Van der Heijden University of Reading Gezondheidsdienst voor Dieren 119 PUBLICATIONS 354 CITATIONS 49 PUBLICATIONS 1,232 CITATIONS SEE PROFILE SEE PROFILE Eiko Bleicher 7 PUBLICATIONS 12 CITATIONS SEE PROFILE Some of the authors of this publication are also working on these related projects: Chess Endgame Analysis View project The Skilloscopy project View project All content following this page was uploaded by Guy McCrossan Haworth on 23 January 2017. The user has requested enhancement of the downloaded file. 82 ICGA Journal June 2011 NOTES ZUGZWANGS IN CHESS STUDIES G.McC. Haworth,1 H.M.J.F. van der Heijden and E. Bleicher Reading, U.K., Deventer, the Netherlands and Berlin, Germany ABSTRACT Van der Heijden’s ENDGAME STUDY DATABASE IV, HHDBIV, is the definitive collection of 76,132 chess studies. The zugzwang position or zug, one in which the side to move would prefer not to, is a frequent theme in the literature of chess studies. In this third data-mining of HHDBIV, we report on the occurrence of sub-7-man zugs there as discovered by the use of CQL and Nalimov endgame tables (EGTs). We also mine those Zugzwang Studies in which a zug more significantly appears in both its White-to-move (wtm) and Black-to-move (btm) forms. We provide some illustrative and extreme examples of zugzwangs in studies. -
2020-21 Candidates Tournament ROUND 9
2020-21 Candidates Tournament ROUND 9 CATALAN OPENING (E05) easy to remove and will work together with the GM Anish Giri (2776) other pieces to create some long-term ideas. GM Wang Hao (2763) A game between two other top players went: 2020-2021 Candidates Tournament 14. Rac1 Nb4 15. Rfd1 Ra6 (15. ... Bxf3! 16. Bxf3 Yekaterinburg, RUS (9.3), 04.20.2021 c6 is the most solid approach in my opinion. I Annotations by GM Jacob Aagaard cannot see a valid reason why the bishop on f3 for Chess Life Online is a strong piece.) 16. Qe2 Nbd5 17. Nb5 Ne7 18. The Game of the Day, at least in terms of Nd2 Bxg2 19. Kxg2 Nfd5 20. Nc4 Ng6 21. Kh1 drama, was definitely GM Ding Liren versus Qe7 22. b3 Rd8 23. Rd2 Raa8 24. Rdc2 Nb4 25. GM Maxime Vachier-Lagrave. Drama often Rd2 Nd5 26. Rdc2, and the game was drawn in Ivanchuk – Dominguez Perez, Varadero 2016. means bad moves, which was definitely the case there. Equally important for the tournament 14. ... Bxg2 15. Kxg2 c6 16. h3!N 8. ... Bd7 standings was the one win of the day. GM Anish Giri moves into shared second place with this The bishop is superfluous and will be The real novelty of the game, and not a win over GM Wang Hao. exchanged. spectacular one. The idea is simply that the king The narrative of the game is a common one hides on h2 and in many situations leaves the 9. Qxc4 Bc6 10. Bf4 Bd6 11. -
I Make This Pledge to You Alone, the Castle Walls Protect Our Back That I Shall Serve Your Royal Throne
AMERA M. ANDERSEN Battlefield of Life “I make this pledge to you alone, The castle walls protect our back that I shall serve your royal throne. and Bishops plan for their attack; My silver sword, I gladly wield. a master plan that is concealed. Squares eight times eight the battlefield. Squares eight times eight the battlefield. With knights upon their mighty steed For chess is but a game of life the front line pawns have vowed to bleed and I your Queen, a loving wife and neither Queen shall ever yield. shall guard my liege and raise my shield Squares eight times eight the battlefield. Squares eight time eight the battlefield.” Apathy Checkmate I set my moves up strategically, enemy kings are taken easily Knights move four spaces, in place of bishops east of me Communicate with pawns on a telepathic frequency Smash knights with mics in militant mental fights, it seems to be An everlasting battle on the 64-block geometric metal battlefield The sword of my rook, will shatter your feeble battle shield I witness a bishop that’ll wield his mystic sword And slaughter every player who inhabits my chessboard Knight to Queen’s three, I slice through MCs Seize the rook’s towers and the bishop’s ministries VISWANATHAN ANAND “Confidence is very important—even pretending to be confident. If you make a mistake but do not let your opponent see what you are thinking, then he may overlook the mistake.” Public Enemy Rebel Without A Pause No matter what the name we’re all the same Pieces in one big chess game GERALD ABRAHAMS “One way of looking at chess development is to regard it as a fight for freedom. -
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. -
3 After the Tournament
Important Dates for 2018-19 Important Changes early Sept. Chess Manual & Rule Book posted online TERMS & CONDITIONS November 1 Preliminary list of entries posted online V-E-3 Removes all restrictions on pairing teams at the state December 1 Official Entry due tournament. The result will be that teams from the same Official Entry should be submitted online by conference may be paired in any round. your school’s official representative. V- E-6 Provides that sectional tournament will only be paired There is no entry fee, but late entries will incur after registration is complete so that last-minute with- a $100 late fee. drawals can be taken into account. December 1 Updated list of entries posted online IX-G-4 Clarifies that the use of a smartwatch by a player is ille- gal, with penalties similar to the use of a cell phone. December 1 List of Participants form available online Contact your activities director for your login ID and password. VII-C-1,4,5,6 and VIII-D-1,2,4 Failure to fill out this form by the deadline con- Eliminates individual awards at all levels of the stitutes withdrawal from the tournament. tournament. Eliminates the requirement that a player stay on one board for the entire tournament. Allows January 2 Required rules video posted players to shift up and down to a different board, while January 16 Deadline to view online rules presentation remaining in the "Strength Order" declared by the Deadline to submit List of Participants (final coach prior to the start of the tournament. -
More About Checkmate
MORE ABOUT CHECKMATE The Queen is the best piece of all for getting checkmate because it is so powerful and controls so many squares on the board. There are very many ways of getting CHECKMATE with a Queen. Let's have a look at some of them, and also some STALEMATE positions you must learn to avoid. You've already seen how a Rook can get CHECKMATE XABCDEFGHY with the help of a King. Put the Black King on the side of the 8-+k+-wQ-+( 7+-+-+-+-' board, the White King two squares away towards the 6-+K+-+-+& middle, and a Rook or a Queen on any safe square on the 5+-+-+-+-% same side of the board as the King will give CHECKMATE. 4-+-+-+-+$ In the first diagram the White Queen checks the Black King 3+-+-+-+-# while the White King, two squares away, stops the Black 2-+-+-+-+" King from escaping to b7, c7 or d7. If you move the Black 1+-+-+-+-! King to d8 it's still CHECKMATE: the Queen stops the Black xabcdefghy King moving to e7. But if you move the Black King to b8 is CHECKMATE! that CHECKMATE? No: the King can escape to a7. We call this sort of CHECKMATE the GUILLOTINE. The Queen comes down like a knife to chop off the Black King's head. But there's another sort of CHECKMATE that you can ABCDEFGH do with a King and Queen. We call this one the KISS OF 8-+k+-+-+( DEATH. Put the Black King on the side of the board, 7+-wQ-+-+-' the White Queen on the next square towards the middle 6-+K+-+-+& and the White King where it defends the Queen and you 5+-+-+-+-% 4-+-+-+-+$ get something like our next diagram. -
Do First Mover Advantages Exist in Competitive Board Games: the Importance of Zugzwang
DO FIRST MOVER ADVANTAGES EXIST IN COMPETITIVE BOARD GAMES: THE IMPORTANCE OF ZUGZWANG Douglas L. Micklich Illinois State University [email protected] ABSTRACT to the other player(s) in the game (Zagal, et.al., 2006) Examples of such games are chess and Connect-Four. The players try to The ability to move first in competitive games is thought to be secure some sort of first-mover advantage in trying to attain the sole determinant on who wins the game. This study attempts some advantage of position from which a lethal attack can be to show other factors which contribute and have a non-linear mounted. The ability to move first in competitive board games effect on the game’s outcome. These factors, although shown to has thought to have resulted more often in a situation where that be not statistically significant, because of their non-linear player, the one moving first, being victorious. The person relationship have some positive correlations to helping moving first will normally try to take control from the outset and determine the winner of the game. force their opponent into making moves that they would not otherwise have made. This is a strategy which Allis refers to as “Zugzwang”, which is the principle of having to play a move INTRODUCTION one would rather not. To be able to ensure that victory through a gained advantage In Allis’s paper “A Knowledge-Based Approach of is attained, a position must first be determined. SunTzu in the Connect-Four: The Game is Solved: White Wins”, the author “Art of War” described position in this manner: “this position, a states that the player of the black pieces can follow strategic strategic position (hsing), is defined as ‘one that creates a rules by which they can at least draw the game provided that the situation where we can use ‘the individual whole to attack our player of the red pieces does not start in the middle column (the rival’s) one, and many to strike a few’ – that is, to win the (Allis, 1992). -
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. -
A Feast of Chess in Time of Plague – Candidates Tournament 2020
A FEAST OF CHESS IN TIME OF PLAGUE CANDIDATES TOURNAMENT 2020 Part 1 — Yekaterinburg by Vladimir Tukmakov www.thinkerspublishing.com Managing Editor Romain Edouard Assistant Editor Daniël Vanheirzeele Translator Izyaslav Koza Proofreader Bob Holliman Graphic Artist Philippe Tonnard Cover design Mieke Mertens Typesetting i-Press ‹www.i-press.pl› First edition 2020 by Th inkers Publishing A Feast of Chess in Time of Plague. Candidates Tournament 2020. Part 1 — Yekaterinburg Copyright © 2020 Vladimir Tukmakov All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior written permission from the publisher. ISBN 978-94-9251-092-1 D/2020/13730/26 All sales or enquiries should be directed to Th inkers Publishing, 9850 Landegem, Belgium. e-mail: [email protected] website: www.thinkerspublishing.com TABLE OF CONTENTS KEY TO SYMBOLS 5 INTRODUCTION 7 PRELUDE 11 THE PLAY Round 1 21 Round 2 44 Round 3 61 Round 4 80 Round 5 94 Round 6 110 Round 7 127 Final — Round 8 141 UNEXPECTED CONCLUSION 143 INTERIM RESULTS 147 KEY TO SYMBOLS ! a good move ?a weak move !! an excellent move ?? a blunder !? an interesting move ?! a dubious move only move =equality unclear position with compensation for the sacrifi ced material White stands slightly better Black stands slightly better White has a serious advantage Black has a serious advantage +– White has a decisive advantage –+ Black has a decisive advantage with an attack with initiative with counterplay with the idea of better is worse is Nnovelty +check #mate INTRODUCTION In the middle of the last century tournament compilations were ex- tremely popular. -
Chess Endgame News
Chess Endgame News Article Published Version Haworth, G. (2014) Chess Endgame News. ICGA Journal, 37 (3). pp. 166-168. ISSN 1389-6911 Available at http://centaur.reading.ac.uk/38987/ It is advisable to refer to the publisher’s version if you intend to cite from the work. See Guidance on citing . Publisher: The International Computer Games Association All outputs in CentAUR are protected by Intellectual Property Rights law, including copyright law. Copyright and IPR is retained by the creators or other copyright holders. Terms and conditions for use of this material are defined in the End User Agreement . www.reading.ac.uk/centaur CentAUR Central Archive at the University of Reading Reading’s research outputs online 166 ICGA Journal September 2014 CHESS ENDGAME NEWS G.McC. Haworth1 Reading, UK This note investigates the recently revived proposal that the stalemated side should lose, and comments further on the information provided by the FRITZ14 interface to Ronald de Man’s DTZ50 endgame tables (EGTs). Tables 1 and 2 list relevant positions: data files (Haworth, 2014b) provide chess-line sources and annotation. Pos.w-b Endgame FEN Notes g1 3-2 KBPKP 8/5KBk/8/8/p7/P7/8/8 b - - 34 124 Korchnoi - Karpov, WCC.5 (1978) g2 3-3 KPPKPP 8/6p1/5p2/5P1K/4k2P/8/8/8 b - - 2 65 Anand - Kramnik, WCC.5 (2007) 65. … Kxf5 g3 3-2 KRKRB 5r2/8/8/8/8/3kb3/3R4/3K4 b - - 94 109 Carlsen - van Wely, Corus (2007) 109. … Bxd2 == g4 7-7 KQR..KQR.. 2Q5/5Rpk/8/1p2p2p/1P2Pn1P/5Pq1/4r3/7K w Evans - Reshevsky, USC (1963), 49.