U.S. Copyright Protection for Our World Chess Champions: a Futile Zugzwang
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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. -
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. -
Regulations for the FIDE World Chess Cup 2015 1
Regulations for the FIDE World Chess Cup 2015 1. Organisation 1.1 The FIDE World Chess Cup (World Cup) is an integral part of the World Championship Cycle 2014-2016. 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 World Chess Cup 2015, including internet rights. 1.4 Upon recommendation by the WCOC, the body responsible for any changes to these Regulations is the FIDE Presidential Board. 2. Qualifying Events for World Cup 2015 2. 1. National Chess Championships - National Chess Championships are the responsibility of the Federations who retain all rights in their internal competitions. 2. 2. Zonal Tournaments - Zonals can be organised by the Continents according to their regulations that have to be approved by the FIDE Presidential Board. 2. 3. Continental Chess Championships - The Continents, through their respective Boards and in co-operation with FIDE, shall organise Continental Chess Championships. The regulations for these events have to be approved by the FIDE Presidential Board nine months before they start if they are to be part of the qualification system of the World Chess Championship cycle. 2. 3. 1. FIDE shall guarantee a minimum grant of USD 92,000 towards the total prize fund for Continental Championships, divided among the following continents: 1. Americas 32,000 USD (minimum prize fund in total: 50,000 USD) 2. -
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. -
JUNE 1950 EVERY SECOND MONTH T BIR.THDAY WEEK.END TOURNA^Rtents T SOUTHSEA TOURNEY T Overseos & N.Z
rTE ]IEW ZEALAII[I Vol. 3-No. 14 JUNE 1950 EVERY SECOND MONTH t BIR.THDAY WEEK.END TOURNA^rtENTS t SOUTHSEA TOURNEY t Overseos & N.Z. Gomes ,1 ts t PROBLEMS + TH E SLAV DEFENCE :-, - t lr-;ifliir -rr.]t l TWO SH ILLIN GS "Jl 3 OIIDSSPLAYBBSe LIBBABY 3 ,,C BOOKS BOOKS H E INTER SOLD BY Fol rvhich tir THE NEW ZEATAND CHESSPLAYER ANNUAL 256 DOMTNION ROAD, LIFI AUCKLAND. PHONE 64-277 (Ne In ordering, merely quote Editor and I catalogue number shown. Postage: Add one penny in every Z/- Champion anr Australia. GAMES G l3-Fifty Great Games of Modern Chess- Golombek. G l-My Best Well annotated. and very gc - _ What son' Games, 1924-32-Alekhine. 120 value. 4/3 games by the greatest player and the greatest annotator. 14/- G l4-Moscow - Prague Match, lg46-The -_ " I take games of exceptional interest Revierv.' Your G 2-Capablanca's Hundred Best Games- to all advanc._ Forest Hills. l p_lay_ery (not recommended beginners Golombek. A book grace for " I have lea, to everv- chess WeII indexed for openings ; and endings. 3/- ancl Purdy's r player's _ library. Well-selected games extensively G l5-Amenities and Background all the other l annotated. 17/G of Che=. bought."-H.A Play-Napier. Delightful liiile book of gre=. G 3-Tarrasch's Best Games-Reinfeld. 1BB " One maga fully annotated games based on Tarrasch,s g_a1es by a master of Chess and writing. 3/- -'eaches chess' own notes. 23/- G 16-Great Britain v. -
1 Najdorf Sicilian Focus on the Critical D5 Squar One the Most Common Openings in the Past 50 Years Is the Najdorf Variation Of
1 Najdorf Sicilian will try to keep full control over the d5 Focus on the Critical d5 Squar square, and try to maintain the possibility of placing and keeping a piece One the most common openings in the on d5. Fully controlling the d5 square past 50 years is the Najdorf variation of allows white to affect both sides of the the Sicilian Defense. The Najdorf offers board. In order to assure that control, many different possibilities, starting from white wants to trade off black pieces extremely sharp, poison pawn variation that can control d5. For example, he (1. e4, c5 2. nf3 d6 3. d4 cxd4 4. Nxd4 wants to play with Bg5, in order to trade Nf6 5. Nc3 a6 6. Bg5 e6 7. f4 Qb6 8. off the Knight on f6. He also will Qd2 Qxb2! ) to extremely positional lines increase the number of his own pieces (1. e4, c5 2. nf3 d6 3. d4 cxd4 4. Nxd4 that can control d5, with maneuvers like Nf6 5. Nc3 a6 6. Be2 e5 7. Nb3 ... ) bishop to c4, then b3, and the knight on Somewhere between those two lines is f3 going to d2-c4-e3. It seems that white the following position, which I will try to has full control of the situation. So why explain. 1.e4 c5 2.Nf3 d6 3.d4 cxd4 does black choose to create this pawn 4.Nxd4 Nf6 5.Nc3 a6 6.Be3 e5 7.Nf3 structure? The answer is because this is Diagram one of the rare Sicilian pawn structures abcdef gh that gives the black side a slight space advantage. -
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). -
Aron Nimzowitsch My System & Chess Praxis
Aron Nimzowitsch My System & Chess Praxis Translated by Robert Sherwood New In Chess 2016 Contents Translator’s Preface............................................... 9 My System Foreword..................................................... 13 Part I – The Elements . 15 Chapter 1 The Center and Development...............................16 1. By development is to be under stood the strategic advance of the troops to the frontier line ..............................16 2. A pawn move must not in and of itself be regarded as a develo ping move but should be seen simply as an aid to develop ment ........................................16 3. The lead in development as the ideal to be sought ..........18 4. Exchanging with resulting gain of tempo.................18 5. Liquidation, with subsequent development or a subsequent liberation ..........................................20 6. The center and the furious rage to demobilize it ...........23 7. On pawn hunting in the opening ......................28 Chapter 2 Open Files .............................................31 1. Introduction and general remarks.......................31 2. The origin (genesis) of the open file ....................32 3. The ideal (ultimate purpose) of every operation along a file ..34 4. The possible obstacles in the way of a file operation ........35 5. The ‘restricted’ advance along one file for the purpose of relin quishing that file for another one, or the indirect utilization of a file. 38 6. The outpost .......................................39 Chapter 3 The Seventh and Eighth Ranks ..............................44 1. Introduction and general remarks. .44 2. The convergent and the revo lutionary attack upon the 7th rank. .44 3. The five special cases on the seventh rank . .47 Chapter 4 The Passed Pawn ........................................75 1. By way of orientation ...............................75 2. The blockade of passed pawns .........................77 3. -
Formation Attack Strategies
Formation Attack Strategies Joel Johnson Edited by: Eric Hammond © Joel Johnson, June 2012 All rights reserved. No part of this book may be reproduced, transmitted in any form by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior written permission from Joel Johnson. Edited by: Eric Hammond Cover Photography: Barry M. Evans Cover Design: Joel Johnson Game Searching: Joel Johnson, Richard J. Cowan, William Parker Proofreading: Joel Johnson Game Contributors: Brian Wall, Jack Young, Clyde Nakamura, James Rizzitano, Keith Hayward, Hal Terrie, Richard Cowan, Jesús Seoane, William Parker, Domingos Perego Linares Diagram and Linares Figurine fonts ©1993-2003 by Alpine Electronics, Steve Smith Alpine Electronics 703 Ivinson Ave. Laramie, WY 82070 Email: Alpine Chess Fonts ([email protected]) Website: http://www.partae.com/fonts/ CONTENTS Preface 9 Kudos 9 Purpose of the Book 10 Harry Lyman 9 Education 10 Chess In The Schools 10 Chess Friendships and Sportsmanship 10 Eulogy for Harry Lyman (by Shelby Lyman) 10 Harry Lyman Games 10 Passing The Torch 9 Joshua Zhu 10 Richard Cowan 10 Matthew Miller 10 Luke Miller 10 Noah Raskin 10 Eric Hammond 10 Jimi Sullivan 10 Phil Terrill 10 Austin Terrill 10 Bailey Vidler 10 Clark Vidler 10 Michael Oldehoff 10 Bogdan Anghel 10 Jamie Aronson 10 Rich Desmarais 10 Nick Desmarais 10 Joe Range 10 Bernabe Garcia 10 Nancy Jones 10 Adam Nehmeh 10 Paul Nehmeh 10 Section A – Attack Philosophies 11 Personal Development 12 Frame of Mind 15 Dual Aspects of Chess 30 Chess Mechanics -
A Glimpse Into the Complex Mind of Bobby Fischer July 24, 2014 – June 7, 2015
Media Contact: Amanda Cook [email protected] 314-598-0544 A Memorable Life: A Glimpse into the Complex Mind of Bobby Fischer July 24, 2014 – June 7, 2015 July XX, 2014 (Saint Louis, MO) – From his earliest years as a child prodigy to becoming the only player ever to achieve a perfect score in the U.S. Chess Championships, from winning the World Championship in 1972 against Boris Spassky to living out a controversial retirement, Bobby Fischer stands as one of chess’s most complicated and compelling figures. A Memorable Life: A Glimpse into the Complex Mind of Bobby Fischer opens July 24, 2014, at the World Chess Hall of Fame (WCHOF) and will celebrate Fischer’s incredible career while examining his singular intellect. The show runs through June 7, 2015. “We are thrilled to showcase many never-before-seen artifacts that capture Fischer’s career in a unique way. Those who study chess will have the rare opportunity to learn from his notes and books while casual fans will enjoy exploring this superstar’s personal story,” said WCHOF Chief Curator Bobby Fischer, seen from above, Shannon Bailey. makes a move during the 1966 Piatigorsky Cup. Several of the rarest pieces on display are on generous loan from Dr. Jeanne and Rex Sinquefield, owners of a a collection of material from Fischer’s own library that includes 320 books and 400 periodicals. These items supplement highlights from WCHOF’s permanent collection to create a spectacular show. Highlights from the exhibition: Furniture from the home of Fischer’s mentor Jack Collins, which -
Braille Chess Association Annual General Meeting and Chess Congress
ChessMoves March/April 2010 NEWSLETTER OF THE ENGLISH CHESS FEDERATION £1.50 BraiLLe Chess assoCiation annual General Meeting and Chess Congress George Phillips of Kingston-upon-Thames, winner of the Minor section This chess extravaganza took place at the Hallmark Hotel, Derby from the 5th – 7th March 2010. Chris Ross and George Phillips each achieved perfect five from five scores in the open and the minor events respectively in the annual BCA AGM tournament. One way of boosting attendance at an AGM! (continued on page 3) editorial Today (18/03/10) CJ de Mooi the ECF President visited the Office at Battle for the first time (the original The ECF April Finance Council Meeting will be held in visit was postponed because of the LondonECF on the 17th April. FullNews details and a map are horrendous weather in January). available on the ECF website (www.englishchess.org.uk) This was only my second meeting with CJ and what a really nice, new eCF Manager of Women’s Chess! approachable man he is, unlike the public persona portrayed on Ljubica Lazarevic websites. [email protected] Cynthia Gurney, Editor Ljubica’s interest in chess began watching games played at her secondary school’s chess club. Soon after she eCF Batsford joined what was Grays Chess Club (now Thurrock Chess Club). Over the past few years Ljubica has co-organised Competition tournaments including the British Blitz Championships, Winner JANUARY-FeBrUARY as well as playing in congresses in the UK and abroad. Guy Gibson from Kew Having recently completed her doctorate, Ljubica takes on the role The correct Answer is 1.e5 of manager of women’s chess and is keen to make the game a more This issue’s problem approachable and enjoyable experience for women of all ages and Robin C.