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Top 10 active players as of December 31, 1946


All active players as of December 31, 1946

  #  

Player Rating +/- Best? 75%? Age
1 Botvinnik, Mikhail M28105665.9% #235.37
2 Keres, Paul27276411.6% #730.98
3 Reshevsky, Samuel H2706677.3% #935.09
4 Fine, Reuben2686745.4% #1232.21
5 Euwe, Machgielis2680592.3% #1145.61
6 Szabó, László2678622.5% #1229.78
7 Boleslavsky, Isaak E2671561.4% #1227.55
8 Najdorf, Miguel2665551.0% #1336.70
9 Stĺhlberg, Gideon2640610.6% #1738.92
10 Smyslov, Vassily V2638550.3% #1725.76
11 Kotov, Alexander A2630550.2% #1833.38
12 Horowitz, Al2629680.7% #1939.12
13 Flohr, Salo2611580.1% #2138.13
14 Bronstein, David I2610590.1% #2222.86
15 Lundin, Erik2599630.1% #2442.49
16 Tartakower, Saviely G259159 #2559.85
17 Ragozin, Viacheslav V259056 #2538.22
18 Lilienthal, Andor258659 #2635.65
19 Kashdan, Isaac2577680.1% #2941.11
20 Rudakovsky, Iosif I2571720.1% #3132.99
21 Chekhover, Vitaly2569730.1% #3138.02
22 Konstantinopolsky, Alexander M255965 #3336.86
23 Foltys, Jan255068 #3538.21
24 Bernstein, Ossip S254761 #3464.24
25 Stoltz, Gösta253359 #3742.64
26 Alatortsev, Vladimir A253359 #3737.62
27 Denker, Arnold S252755 #3832.85
28 Simagin, Vladimir P252664 #4027.52
29 Vidmar, Milan Sr251864 #4261.52
30 Lupi, Francesco250973 #46
31 Bondarevsky, Igor Z250756 #4433.63
32 Ekström, Folke250571 #4740.21
33 Tolush, Alexander K250265 #4736.66
34 Medina García, Antonio A249372 #5027.24
35 Kan, Ilia A249367 #4937.65
36 Trifunovic, Petar249267 #5036.33
37 Zagoriansky, Evgeny A248866 #5136.37
38 Panov, Vasily N248466 #5240.16
39 Michel, Pablo248462 #5141.01
40 Averbakh, Yury L248169 #5324.89
41 Yanofsky, Daniel A246660 #5621.76
42 Pilnik, Herman246557 #5532.97
43 Steiner, Herman246157 #5641.70
44 Guimard, Carlos E246155 #5633.73
45 Pinkus, Albert Sidney245871 #6043.77
46 Kottnauer, Cenek245555 #5836.85
47 Zíta, František245259 #5937.08
48 Alexander, Conel H245271 #6237.69
49 Gligoric, Svetozar244668 #6323.91
50 Adams, Weaver W244071 #6545.67
51 Pelikán, Jorge243668 #6640.68
52 Bolbochán, Jácobo243563 #6540.01
53 Koblencs, Aleksandrs243369 #6730.32
54 Czerniak, Moshe243274 #6836.90
55 Kamishov, Mikhail P243164 #6637.99
56 Katetov, Miroslav242860 #6628.81
57 Prins, Lodewijk242865 #6733.92
58 Ratner, Boris Y241072 #7437.99
59 Pachmann, Ludek240860 #7222.63
60 Rossetto, Héctor D240559 #7324.31
61 Šajtar, Jaroslav240159 #7425.07
62 Hounié Fleurquin, Carlos240166 #7540.13
63 Ulvestad, Olaf240069 #7634.17
64 Golombek, Harry239963 #7535.83
65 Luckis, Marcos239865 #7641.95
66 Maccioni Seisdedos, Alejandro238668 #7927.85
67 Bolbochán, Julio238165 #8026.77
68 Piazzini, Luis R237974 #8241.62
69 Romanovsky, Peter A237969 #8154.42
70 Opocenský, Karel237458 #8154.89
71 Maderna, Carlos H237361 #8136.40
72 Aitken, James M237069 #8438.17
73 Rohácek, Ivan V236471 #8637.69
74 Goldberg, Grigory A235671 #8838.42
75 Pomar Salamanca, Arturo235569 #8715.33
76 Christoffel, Martin235459 #8624.32
77 Reinhardt, Enrique H235165 #8843.75
78 Sanguinetti, Renato234763 #8930.69
79 O'Kelly de Galway, Albéric234461 #8935.62
80 Baturinsky, Victor D233868 #9132.51
81 Poliak, Abram B233672 #9344.51
82 Ravinsky, Grigory Ionovich233666 #9237.20
83 Bonch-Osmolovsky, Mikhail A232271 #9627.99
84 Estrin, Yacov B232271 #9623.69
85 Iliesco, Juan T231560 #9548.70
86 Seidman, Herbert231375 #9826.20
87 Letelier Martner, René230763 #9731.27
88 Winter, William230571 #9948.30
89 Soultanbéieff, Victor I230476 #10051.13
90 Chistiakov, Alexander N230168 #9932.94
91 García Vera, Romeo229868 #100
92 Corte, César J229763 #10032.65
93 de Souza Mendes, Joăo229469 #10154.43
94 Solntsev, Yury K228371 #10324.05
95 Wood, Gabriel228067 #10343.52
96 Abrahams, Gerald228067 #10339.70
97 Fairhurst, William A227773 #10443.35
98 Devos, Paul227671 #10435.80
99 Liublinsky, Victor A227572 #10428.73
100 Martín, Pedro227376 #10515.99
101 Rebizzo, Cayetano227376 38.39
102 Marini, Luis227376 34.25
103 Broadbent, Reginald Joseph226871
104 List, Paul M225668 59.99
105 Rocas, Orlando225569
106 Piro, V.223676
107 Wood, Baruch Harold222669
108 Wade, Robert Graham222476
109 Bauza, Lorenzo221769
110 Lipiniks, Leonardo219976 22.74
111 Verlinsky, Boris M218373 58.97
112 Bahamonde, Antonio216671
113 Martinez, JE.216176
114 Montiel, P.216176
115 Beretta, H.216176
116 Falcón, Enrique215569
117 Garibaldi, O.211971
118 Pazos, Gramajo210876

These ratings, calculated as of December 31, 1946, incorporate all games (against rated opponents) played in the time between January 1, 1946 and December 31, 1946, along with the ratings that were already calculated as of December 31, 1945. Players who have played an insufficient number of games in recent years will not appear on the list, even though you may see them on previous and/or subsequent lists. Any players who have been completely inactive for three years are removed from the list.

Definition of columns in the above list:

# refers to the player's world rank on this list.

Player is the full name of the player. Click on the player's name to see a career progression of the player's ratings.

Rating is the calculated rating for the player, as of December 31, 1946. This represents the player's estimated strength on January 1, 1947.

+/- is the standard deviation of the player's rating estimate. It is based on a geometric average of the number of rated games played in past years. Players who play very frequently will have a smaller +/- value, indicating a greater confidence in the accuracy of their rating. Players whose +/- value exceeds 76 are classified as "inactive" and removed from the ranking list due to their infrequent play against rated opponents. Mathematically, a player's rating is an estimate of their exact strength on January 1, 1947. The +/- value represents the standard deviation of that estimate; the player's true strength on January 1, 1947 should be within one standard deviation of their calculated rating approximately 68% of the time, and within two standard deviations of their calculated rating approximately 95% of the time.

Best? is the estimated likelihood that the player was actually the strongest player in the world on January 1, 1947. Since ratings are known to be inaccurate, it is possible that a lower-rated player is actually much stronger than their rating would indicate, and it is also possible that other players are weaker than their ratings would indicate. This number indicates the likelihood that the player is indeed the strongest player in the world. On a particular list, it will add up to 100% across the complete list of all players. This value is only calculated for the top 100 players on any rating list.

75%? gives a 75%-confidence world ranking for the player. Because ratings are known to be inaccurate, even if a particular player is rated third in the world, we cannot say with 100% certainty that they are truly one of the three strongest players in the world. This number indicates the world rank that we are 75% sure the player is "no worse than". Thus if a player has a value of #12 in this column, we are 75% sure that the player is one of the twelve strongest players in the world. This value is only calculated for the top 100 players on any rating list.

Age is the player's exact age in years, on December 31, 1946. If a player's age is displayed as a link, that means that this rating was active at the time of their next birthday. Click on the link to see the sorted list of all players' ratings on their birthdays when turning that same age.

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