The best replacement for tournament is cash game.

The best alternatives to tournament are rated as following:
★★★★★  cash game
★★★  cash games
★★★  competition
★★  quake
★★  championship
★★  league
★★  cash game poker
★★  tourney
★★  quake 3
★  cash poker
★  tournament
★  gears of war
★  ncaa tournament
★  ncaa
★  nit
  sit and go
  unreal championship
  nit tournament
  molten wow
  cit tournament
  cash game strategy
  bcs
  counter strike
  nba playoffs

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Speaking about tournament, one probably shouldn't forget about odd number of teams.

Other search terms related to tournament and their ratings are:
★★★★★ odd number of teams
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Google Trends

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tournament
cash game
cash games