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#1
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Game I Made Up
I was bored, so I made up this game to play with my friend the other day:
we each pick a whole number and write it down then we compare numbers, call the larger of the two numbers L, and the smaller of the two S the player who picked the smaller number pays the other player 100-L+S cents (negative meaning he recieves money instead of paying) if we both pick the same number it's a tie of course it's a pretty fun game, can anyone devise an unbeatable strategy? (as in guarantee that your EV is not negative) |
#2
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Re: Game I Made Up
[ QUOTE ]
it's a pretty fun game, can anyone devise an unbeatable strategy? (as in guarantee that your EV is not negative) [/ QUOTE ] Randomly select 0-200. Paul |
#3
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Re: Game I Made Up
[ QUOTE ]
[ QUOTE ] it's a pretty fun game, can anyone devise an unbeatable strategy? (as in guarantee that your EV is not negative) [/ QUOTE ] Randomly select 0-200. Paul [/ QUOTE ] hmmm... according to my calculations if you do that and i always pick 100 you'll have -EV |
#4
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Re: Game I Made Up
[ QUOTE ]
[ QUOTE ] [ QUOTE ] it's a pretty fun game, can anyone devise an unbeatable strategy? (as in guarantee that your EV is not negative) [/ QUOTE ] Randomly select 0-200. Paul [/ QUOTE ] hmmm... according to my calculations if you do that and i always pick 100 you'll have -EV [/ QUOTE ] Pick 0-199 randomly. Pretty sure this is right. Paul |
#5
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Re: Game I Made Up
If player one randomly chooses between 0 and 200, and player 2 chooses 100, then
50% player one has the higher number and pays 50 (average). 50% player two has the higher number and pays 50 (average). zero expecctation. |
#6
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Re: Game I Made Up
0-200 is not defeated by picking 100 every time, but it is a -EV strategy. If you your opponent picks 0-99 everytime you will lose, with the worst result coming from picking 0 every time.
Paul |
#7
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Re: Game I Made Up
just say 200 every time
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#8
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Re: Game I Made Up
[ QUOTE ]
just say 200 every time [/ QUOTE ] better hope you're not playing with somoene remotely intelligent and decides to start picking 1 each time... |
#9
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Question about game
What happens when player 1 chooses 1 and player 2 chooses 200?
According to the rules as stated, player 1 pays player 2 100-200+1 = -99. Does that mean player 2 pays player 1 99? |
#10
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Re: Question about game
[ QUOTE ]
What happens when player 1 chooses 1 and player 2 chooses 200? According to the rules as stated, player 1 pays player 2 100-200+1 = -99. Does that mean player 2 pays player 1 99? [/ QUOTE ] yep |
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