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Then nobody wins the game? Or does the last person to move automatically win? Also: I'm assuming in the two player game that each player takes two colors and play alternates. What about a three-player game? Do you do without one color? All I have are the rules in the pdf file on this website.
(Disclaimer: I've never played the game, and honestly had never heard of it until I saw your post. So I'm coming in as a complete newcomer.) My guess is that the "End of the game" section is slightly badly translated, and should read (emphasis mine) "A player who cannot move during his/her turn is eliminated but leaves his/her pieces on the pitch. The game ends when only one player remains. That player is the winner." That would certainly eliminate the possibility of a no-win situation.
That being said, I'm glad I stumbled on this game; it looks very interesting and easy to teach, and I'm curious to try it out (albeit with an Icehouse set, as it's not for sale in the US)! Thanks!
What are you doing!? I don't even know you!
Trevor's answer is correct - thanks for pointing it out. As for the other questions: With three players, just leave out a color. With two players, it doesn't matter whether play alternates, that is not a rule. We usually place the board in a 45 degree angle in front of us, with each player playing the two sides facing him/her. But again, that is not a rule of any sort, just our habit.