Best games by H-Index
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The H-Index is a metric commonly used to evaluate the productivity of a scholar, both in quantity (in terms of papers published) and quality (in terms of number of citations). It is quite controversial, but this is not the right place to argue about that.

I define the H-Index of a game to be equal to h if at least h different players have played it at least h times. What would the BGG top look like if games were ranked according to this index?

Feel free to add games (with H-Index >= to, say, 40, excluding expansions) to this list, I will sort it every now and then accordingly. For now, I have processed the BGG Top 50.

The H-Index of a game can be obtained by clicking on the "Total Plays" link of its statistics block, and looking for the highest ranked player that have played the game a number of times at least equals to his rank.
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1. Board Game: Magic: The Gathering [Average Rating:7.46 Overall Rank:154] [Average Rating:7.46 Unranked]
Brian Bankler
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h-Index of 246 on BGG (2013 Feb 5)

Undoubtedly much higher in the real world.
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2. Board Game: Dominion [Average Rating:7.66 Overall Rank:72] [Average Rating:7.66 Unranked]
Julien Vion
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H-Index = 222 on 2013/02/05
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3. Board Game: Race for the Galaxy [Average Rating:7.77 Overall Rank:49]
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H-Index = 198 on 2013/02/05
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4. Board Game: Chess [Average Rating:7.09 Overall Rank:412] [Average Rating:7.09 Unranked]
Matthew Cordeiro
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H-Index = 126 as of 2/5/2013
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5. Board Game: Tichu [Average Rating:7.60 Overall Rank:123]
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H-Index = 109 on 2013/02/05
 
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6. Board Game: Carcassonne [Average Rating:7.43 Overall Rank:137] [Average Rating:7.43 Unranked]
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H-Index = 105 as of 2/5/2013
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7. Board Game: Catan [Average Rating:7.22 Overall Rank:284] [Average Rating:7.22 Unranked]
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H-Index = 100 as of 2/5/2012
 
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8. Board Game: Agricola [Average Rating:8.02 Overall Rank:17]
Julien Vion
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H-Index = 98 on 2013/02/05
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9. Board Game: Lost Cities [Average Rating:7.15 Overall Rank:298]
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H-Index = 96 on 2013/02/05
 
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10. Board Game: Ticket to Ride [Average Rating:7.46 Overall Rank:127] [Average Rating:7.46 Unranked]
Matthew Cordeiro
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H-Index = 93 as of 2/5/2012
 
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11. Board Game: Dominion: Intrigue [Average Rating:7.76 Overall Rank:59] [Average Rating:7.76 Unranked]
Julien Vion
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H-Index = 89 on 2013/02/05
 
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12. Board Game: Backgammon [Average Rating:6.53 Overall Rank:1097]
Brian Bankler
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H-Index of 88 as of 2013 Feb 5.

It's unsurprising that "Lifestyle games" (games that have a dedicated following who play that game to the near exclusion of all others) perform well by this metric, and that shorter games would dominate longer ones.
 
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13. Board Game: Go [Average Rating:7.66 Overall Rank:124]
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H-Index = 87 on 2013/02/05
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14. Board Game: Crokinole [Average Rating:7.79 Overall Rank:75]
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H-Index = 83 on 2013/02/05
 
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15. Board Game: Ascension: Deckbuilding Game [Average Rating:7.04 Overall Rank:507] [Average Rating:7.04 Unranked]
Jérôme Morel
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H-Index = 78 on 2013/02/06
 
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16. Board Game: Loopin' Louie [Average Rating:6.84 Overall Rank:704]
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H-Index = 78 on 2013/02/06
 
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17. Board Game: Memoir '44 [Average Rating:7.54 Overall Rank:117] [Average Rating:7.54 Unranked]
Matthew Cordeiro
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H-Index = 76 as of 2/5/2013
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18. Board Game: Puerto Rico [Average Rating:8.06 Overall Rank:16]
Julien Vion
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H-Index = 75 on 2013/02/05
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19. Board Game: 7 Wonders [Average Rating:7.80 Overall Rank:43]
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H-Index = 75 on 2013/02/05
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20. Board Game: Pandemic [Average Rating:7.65 Overall Rank:73]
Julien Vion
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H-Index = 75 on 2013/02/05
 
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21. Board Game: Scrabble [Average Rating:6.29 Overall Rank:1524]
John Farrell
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Currently at 72, much higher when little old ladies start joining BGG.
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22. Board Game: Through the Ages: A Story of Civilization [Average Rating:8.02 Overall Rank:28]
Julien Vion
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H-Index = 65 on 2013/02/05
 
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23. Board Game: Stone Age [Average Rating:7.62 Overall Rank:79]
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H-Index = 62 on 2013/02/05
 
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24. Board Game: Ra [Average Rating:7.47 Overall Rank:134]
Jérôme Morel
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H-Index = 57 on 2013/02/06
 
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25. Board Game: Thurn and Taxis [Average Rating:7.12 Overall Rank:351]
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H-Index = 55 on 2013/02/06
 
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