Chess-Play" by William Ewart Napier
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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. -
The Modernized Grünfeld Defense
The Modernized Grünfeld Defense First edition 2020 by Thinkers Publishing Copyright © 2020 Yaroslav Zherebukh All rights reserved. No part of this publication may be reproduced, stored in a re- trieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior written permission from the publisher. All sales or enquiries should be directed to Thinkers Publishing, 9850 Landegem, Belgium. Email: [email protected] Website: www.thinkerspublishing.com Managing Editor: Romain Edouard Assistant Editor: Daniël Vanheirzeele Typesetting: Mark Haast Proofreading: Bob Bolliman Software: Hub van de Laar Cover Design: Iwan Kerkhof Graphic Artist: Philippe Tonnard Production: BESTinGraphics ISBN: 9789492510792 D/2020/13730/7 The Modernized Grünfeld Defense Yaroslav Zherebukh Thinkers Publishing 2020 Key to Symbols ! a good move ⩲ White stands slightly better ? a weak move ⩱ Black stands slightly better !! an excellent move ± White has a serious advantage ?? a blunder ∓ Black has a serious advantage !? an interesting move +- White has a decisive advantage ?! a dubious move -+ Black has a decisive advantage □ only move → with an attack N novelty ↑ with initiative ⟳ lead in development ⇆ with counterplay ⨀ zugzwang ∆ with the idea of = equality ⌓ better is ∞ unclear position ≤ worse is © with compensation for the + check sacrificed material # mate Table of Contents Key to Symbols ......................................................................................................... -
Taming Wild Chess Openings
Taming Wild Chess Openings How to deal with the Good, the Bad, and the Ugly over the chess board By International Master John Watson & FIDE Master Eric Schiller New In Chess 2015 1 Contents Explanation of Symbols ���������������������������������������������������������������� 8 Icons ��������������������������������������������������������������������������������� 9 Introduction �������������������������������������������������������������������������� 10 BAD WHITE OPENINGS ��������������������������������������������������������������� 18 Halloween Gambit: 1.e4 e5 2.♘f3 ♘c6 3.♘c3 ♘f6 4.♘xe5 ♘xe5 5.d4 . 18 Grünfeld Defense: The Gibbon: 1.d4 ♘f6 2.c4 g6 3.♘c3 d5 4.g4 . 20 Grob Attack: 1.g4 . 21 English Wing Gambit: 1.c4 c5 2.b4 . 25 French Defense: Orthoschnapp Gambit: 1.e4 e6 2.c4 d5 3.cxd5 exd5 4.♕b3 . 27 Benko Gambit: The Mutkin: 1.d4 ♘f6 2.c4 c5 3.d5 b5 4.g4 . 28 Zilbermints - Benoni Gambit: 1.d4 c5 2.b4 . 29 Boden-Kieseritzky Gambit: 1.e4 e5 2.♘f3 ♘c6 3.♗c4 ♘f6 4.♘c3 ♘xe4 5.0-0 . 31 Drunken Hippo Formation: 1.a3 e5 2.b3 d5 3.c3 c5 4.d3 ♘c6 5.e3 ♘e7 6.f3 g6 7.g3 . 33 Kadas Opening: 1.h4 . 35 Cochrane Gambit 1: 5.♗c4 and 5.♘c3 . 37 Cochrane Gambit 2: 5.d4 Main Line: 1.e4 e5 2.♘f3 ♘f6 3.♘xe5 d6 4.♘xf7 ♔xf7 5.d4 . 40 Nimzowitsch Defense: Wheeler Gambit: 1.e4 ♘c6 2.b4 . 43 BAD BLACK OPENINGS ��������������������������������������������������������������� 44 Khan Gambit: 1.e4 e5 2.♗c4 d5 . 44 King’s Gambit: Nordwalde Variation: 1.e4 e5 2.f4 ♕f6 . 45 King’s Gambit: Sénéchaud Countergambit: 1.e4 e5 2.f4 ♗c5 3.♘f3 g5 . -
Little Chess Evaluation Compendium by Lyudmil Tsvetkov, Sofia, Bulgaria
Little Chess Evaluation Compendium By Lyudmil Tsvetkov, Sofia, Bulgaria Version from 2012, an update to an original version first released in 2010 The purpose will be to give a fairly precise evaluation for all the most important terms. Some authors might find some interesting ideas. For abbreviations, p will mean pawns, cp – centipawns, if the number is not indicated it will be centipawns, mps - millipawns; b – bishop, n – knight, k- king, q – queen and r –rook. Also b will mean black and w – white. We will assume that the bishop value is 3ps, knight value – 3ps, rook value – 4.5 ps and queen value – 9ps. In brackets I will be giving purely speculative numbers for possible Elo increase if a specific function is implemented (only for the functions that might not be generally implemented). The exposition will be split in 3 parts, reflecting that opening, middlegame and endgame are very different from one another. The essence of chess in two words Chess is a game of capturing. This is the single most important thing worth considering. But in order to be able to capture well, you should consider a variety of other specific rules. The more rules you consider, the better you will be able to capture. If you consider 10 rules, you will be able to capture. If you consider 100 rules, you will be able to capture in a sufficiently good way. If you consider 1000 rules, you will be able to capture in an excellent way. The philosophy of chess Chess is a game of correlation, and not a game of fixed values. -
2009 U.S. Tournament.Our.Beginnings
Chess Club and Scholastic Center of Saint Louis Presents the 2009 U.S. Championship Saint Louis, Missouri May 7-17, 2009 History of U.S. Championship “pride and soul of chess,” Paul It has also been a truly national Morphy, was only the fourth true championship. For many years No series of tournaments or chess tournament ever held in the the title tournament was identi- matches enjoys the same rich, world. fied with New York. But it has turbulent history as that of the also been held in towns as small United States Chess Championship. In its first century and a half plus, as South Fallsburg, New York, It is in many ways unique – and, up the United States Championship Mentor, Ohio, and Greenville, to recently, unappreciated. has provided all kinds of entertain- Pennsylvania. ment. It has introduced new In Europe and elsewhere, the idea heroes exactly one hundred years Fans have witnessed of choosing a national champion apart in Paul Morphy (1857) and championship play in Boston, and came slowly. The first Russian Bobby Fischer (1957) and honored Las Vegas, Baltimore and Los championship tournament, for remarkable veterans such as Angeles, Lexington, Kentucky, example, was held in 1889. The Sammy Reshevsky in his late 60s. and El Paso, Texas. The title has Germans did not get around to There have been stunning upsets been decided in sites as varied naming a champion until 1879. (Arnold Denker in 1944 and John as the Sazerac Coffee House in The first official Hungarian champi- Grefe in 1973) and marvelous 1845 to the Cincinnati Literary onship occurred in 1906, and the achievements (Fischer’s winning Club, the Automobile Club of first Dutch, three years later. -
CONTENTS Contents
CONTENTS Contents Symbols 5 Preface 6 Introduction 9 1 Glossary of Attacking and Strategic Terms 11 2 Double Attack 23 2.1: Double Attacks with Queens and Rooks 24 2.2: Bishop Forks 31 2.3: Knight Forks 34 2.4: The Í+Ì Connection 44 2.5: Pawn Forks 45 2.6: The Discovered Double Attack 46 2.7: Another Type of Double Attack 53 Exercises 55 Solutions 61 3 The Role of the Pawns 65 3.1: Pawn Promotion 65 3.2: The Far-Advanced Passed Pawn 71 3.3: Connected Passed Pawns 85 3.4: The Pawn-Wedge 89 3.5: Passive Sacrifices 91 3.6: The Kamikaze Pawn 92 Exercises 99 Solutions 103 4 Attacking the Castled Position 106 4.1: Weakness in the Castled Position 106 4.2: Rooks and Files 112 4.3: The Greek Gift 128 4.4: Other Bishop Sacrifices 133 4.5: Panic on the Long Diagonal 143 4.6: The Knight Sacrifice 150 4.7: The Exchange Sacrifice 162 4.8: The Queen Sacrifice 172 Exercises 176 Solutions 181 5 Drawing Combinations 186 5.1: Perpetual Check 186 5.2: Repetition of Position 194 5.3: Stalemate 197 5.4: Fortress and Blockade 202 5.5: Positional Draws 204 Exercises 207 Solutions 210 6 Combined Tactical Themes 213 6.1: Material, Endings, Zugzwang 214 6.2: One Sacrifice after Another 232 6.3: Extraordinary Combinations 242 6.4: A Diabolical Position 257 Exercises 260 Solutions 264 7 Opening Disasters 268 7.1: Open Games 268 7.2: Semi-Open Games 274 7.3: Closed Games 288 8 Tactical Examination 304 Test 1 306 Test 2 308 Test 3 310 Test 4 312 Test 5 314 Test 6 316 Hints 318 Solutions 320 Index of Names 331 Index of Openings 335 THE ROLE OF THE PAWNS 3 The Role of the Pawns Ever since the distant days of the 18th century 3.1: Pawn Promotion (let us call it the time of the French Revolution, or of François-André Danican Philidor) we have known that “pawns are the soul of chess”. -
From Los Angeles to Reykjavik
FROM LOS ANGELES CHAPTER 5: TO REYKJAVIK 1963 – 68 In July 1963 Fridrik Ólafsson seized a against Reshevsky in round 10 Fridrik ticipation in a top tournament abroad, Fridrik spent most of the nice opportunity to take part in the admits that he “played some excellent which occured January 1969 in the “First Piatigorsky Cup” tournament in games in this tournament”. Dutch village Wijk aan Zee. five years from 1963 to Los Angeles, a world class event and 1968 in his home town the strongest one in the United States For his 1976 book Fridrik picked only Meanwhile from 1964 the new bian- Reykjavik, with law studies since New York 1927. The new World this one game from the Los Angeles nual Reykjavik chess international gave Champion Tigran Petrosian was a main tournament. We add a few more from valuable playing practice to both their and his family as the main attraction, and all the other seven this special event. For his birthday own chess hero and to the second best priorities. In 1964 his grandmasters had also participated at greetings to Fridrik in “Skák” 2005 Jan home players, plus provided contin- countrymen fortunately the Candidates tournament level. They Timman showed the game against Pal ued attention to chess when Fridrik Benkö from round 6. We will also have Ólafsson competed on home ground started the new biannual gathered in the exclusive Ambassador Hotel in Los Angeles for a complete a look at some critical games which against some famous foreign players. international tournament double round event of 14 rounds. -
White Knight Review Chess E-Magazine January/February - 2012 Table of Contents
Chess E-Magazine Interactive E-Magazine Volume 3 • Issue 1 January/February 2012 Chess Gambits Chess Gambits The Immortal Game Canada and Chess Anderssen- Vs. -Kieseritzky Bill Wall’s Top 10 Chess software programs C Seraphim Press White Knight Review Chess E-Magazine January/February - 2012 Table of Contents Editorial~ “My Move” 4 contents Feature~ Chess and Canada 5 Article~ Bill Wall’s Top 10 Software Programs 9 INTERACTIVE CONTENT ________________ Feature~ The Incomparable Kasparov 10 • Click on title in Table of Contents Article~ Chess Variants 17 to move directly to Unorthodox Chess Variations page. • Click on “White Feature~ Proof Games 21 Knight Review” on the top of each page to return to ARTICLE~ The Immortal Game 22 Table of Contents. Anderssen Vrs. Kieseritzky • Click on red type to continue to next page ARTICLE~ News Around the World 24 • Click on ads to go to their websites BOOK REVIEW~ Kasparov on Kasparov Pt. 1 25 • Click on email to Pt.One, 1973-1985 open up email program Feature~ Chess Gambits 26 • Click up URLs to go to websites. ANNOTATED GAME~ Bareev Vs. Kasparov 30 COMMENTARY~ “Ask Bill” 31 White Knight Review January/February 2012 White Knight Review January/February 2012 Feature My Move Editorial - Jerry Wall [email protected] Well it has been over a year now since we started this publication. It is not easy putting together a 32 page magazine on chess White Knight every couple of months but it certainly has been rewarding (maybe not so Review much financially but then that really never was Chess E-Magazine the goal). -
Königsgambit Autor: Steffen Format
C25-C39 Wiener Partie - Königsgambit 5. NOVEMBER 2019 Steffen Schmitt 0 Inhaltsverzeichnis WIENER PARTIE ................................................................................................................................................ 7 C25 WIENER PARTIE ................................................................................................................................................ 7 2. … Lb4 .......................................................................................................................................................... 8 Zhuravlev-Variante ...................................................................................................................................................... 9 2. … d6 ............................................................................................................................................................ 9 2. … d6 3. Lc4 ............................................................................................................................................................... 9 2. … Lc5 ......................................................................................................................................................... 10 Hammpe-Meitner-Variante ....................................................................................................................................... 10 2. … Lc5 3. Lc4 ........................................................................................................................................................... -
IVAN II Operating Manual Model 712
IVAN II Operating Manual Model 712 Congratulations on your purchase of Excalibur Electronics’ IVAN! You’ve purchased both your own personal chess trainer and a partner who’s always ready for a game—and who can improve as you do! Talking and audio sounds add anoth- Play a Game Right Away er dimension to your IVAN computer for After you have installed the batteries, the increased enjoyment and play value. display will show the chess board with all the pieces on their starting squares. Place Find the Pieces the plastic chess pieces on their start Turn Ivan over carefully with his chess- squares using the LCD screen as a guide. board facedown. Find the door marked The dot-matrix display will show “PIECE COMPARTMENT DOOR”. 01CHESS. This indicates you are at the Open it and remove the chess pieces. first move of the game and ready to play Replace the door and set the pieces aside chess. for now. Unless you instruct it otherwise, IVAN gives you the White pieces—the ones at Install the Batteries the bottom of the board. White always With Ivan facedown, find the door moves first. You’re ready to play! marked “BATTERY DOOR’. Open it and insert four (4) fresh, alkaline AA batteries Making your move in the battery holder. Note the arrange- Besides deciding on a good move, you ment of the batteries called for by the dia- have to move the piece in a way that Ivan gram in the holder. Make sure that the will recognize what's been played. Think positive tip of each battery matches up of communicating your move as a two- with the + sign in the battery compart- step process--registering the FROM ment so that polarity will be correct. -
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. -
Samuel Reshevsky – Lombardy U.S
(21) Samuel Reshevsky – Lombardy U.S. Championship New York, December 1957 King’s Indian Defense [E99] By this time, in the final and deciding round for the U.S. Championship, Bobby had retained a half-point lead (over Sammy). He was paired with the black pieces against Abe Turner. He had the better of the pairing. Yet Abe was a strong master and with white could be quite dangerous. And Bobby was only thirteen. He had some psychological disadvantage against his hefty opponent. Abe was an excellent speed player and always played for stakes, but not against the child Bobby, whom in practice he had beaten many games. Word was that both were content with a draw. Bobby was unwilling to risk a loss, altogether forfeiting his grip on sharing first. And on the other hand, Abe was openly unwilling to spoil the kid’s tournament! Reshevsky had the worse pairing. I am sure that in his mind, considering he had the white pieces, he expected to win. I had lost a game to him in our match the previous year, my only loss to him so far. But I had drawn eight other games with the former prodigy. Two of these came in the 1955 Rosenwald Tournament and five others in the match. Moreover, it had only been four months since my return from the World Junior, so he certainly had to consider me with some caution. Sammy figured the Turner game would end in a draw, and so it did well before the real conflict began in his game with me.