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Subject: What happens when deck runs out? rss

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Peter D
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We played this and simply shuffled the discards to form a new deck. However in Friedemann Friese's excellent Geeklist about the game( Link here, paragraph 3) he says, in response to a comment that the game could never end, that the game has to have a finite end as there is a finite number of cards. That implies that you don't shuffle the discards (otherwise there is not a finite number of cards). But then what do you do when the deck runs out?


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Friedemann Friese
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duckworp wrote:
We played this and simply shuffled the discards to form a new deck. However in Friedemann Friese's Geeklist about the game( Link here, paragraph 3) he says, in response to a comment that the game could never end, that the game has to have a finite end as there is a finite number of cards. That implies that you don't shuffle the discards (otherwise there is not a finite number of cards). But then what do you do when the deck runs out?




1. You do shuffle the discard

2. The game is finite, because there is a maximum number (4x11 = 44) you can reach(or something below, depending on the cards dealt). This number nobody can beat, means somebody will have a number nobody can beat after a finite number of moves. After that at least one card is discarded without redraw, means the number of cards on the player's hands is shrinking. If after a finite number of turns, the number of cards in player's hands is shrinking, then there is a finite number of turns until one player runs out of cards = game ends. finite. qed
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Peter D
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Thanks. The game is fantastic. My family, who are not into games in a big way, also love it. "Just play a card" I say, that is the only rule, play any single card. Then see what happens. I have never had an easier time explaining a rule set to people who really don't like rules.

And we all LOVE IT! Thank you for designing something so simple and yet so enjoyable.
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Robert Crawford
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friedemann wrote:
duckworp wrote:
We played this and simply shuffled the discards to form a new deck. However in Friedemann Friese's Geeklist about the game( Link here, paragraph 3) he says, in response to a comment that the game could never end, that the game has to have a finite end as there is a finite number of cards. That implies that you don't shuffle the discards (otherwise there is not a finite number of cards). But then what do you do when the deck runs out?




1. You do shuffle the discard

2. The game is finite, because there is a maximum number (4x11 = 44) you can reach(or something below, depending on the cards dealt). This number nobody can beat, means somebody will have a number nobody can beat after a finite number of moves. After that at least one card is discarded without redraw, means the number of cards on the player's hands is shrinking. If after a finite number of turns, the number of cards in player's hands is shrinking, then there is a finite number of turns until one player runs out of cards = game ends. finite. qed


Man, now I want to calculate the longest possible game.
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James Klemm
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Should be with 8 players because this will allow the longest time between cards passing through.
 
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