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Thread: Riddles and puzzles

  1. #121
    Might be why they're working dead-end jobs while in their 30s.
    Hope is the denial of reality

  2. #122
    Quote Originally Posted by Loki View Post
    Parentheses, exponents, multiplication, division, addition, subtraction. It does apply there and it gives you the proper result.
    I was referring to the -0+1= -1. Thats a different glitch in these people's minds.
    "In a field where an overlooked bug could cost millions, you want people who will speak their minds, even if they’re sometimes obnoxious about it."

  3. #123
    The glitch is called stupidity.
    Hope is the denial of reality

  4. #124
    Senior Member Flixy's Avatar
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    That is a pretty persistent glitch I know DecoyMilk's.
    Spoiler:
    turn A on, wait a little while, turn it off and B on. Go to the room, if it's lit, it's B, if it's not, but warm, it's A, otherwise C.

  5. #125
    Name the city that is found on every continent.

  6. #126
    Quote Originally Posted by Loki View Post
    I have a bunch of examples from my old textbook. Don't have the answers to most of them.

    The game is played between two players, Player A and Player B. Each player has a penny and must secretly turn the penny to heads or tails. The players then reveal their choices simultaneously. If the pennies match (both heads or both tails) Player A keeps both pennies, so wins one from Player B (+1 for A, -1 for B). If the pennies do not match (one heads and one tails) Player B keeps both pennies, so receives one from Player A (-1 for A, +1 for B). What's the optimum strategy for the two players?
    Find a game where they're not wasting time over pennies?

    Is the game played once only or repeatedly?
    Quote Originally Posted by Ominous Gamer View Post
    ℬeing upset is understandable, but be upset at yourself for poor planning, not at the world by acting like a spoiled bitch during an interview.

  7. #127
    Does it matter? Wouldn't the best strategy just be to set your own coin randomly?

  8. #128
    If its just a single round then I would think randomness would work.

    If there's multiple rounds then strategies like "do what your opponent did last round" etc come into play. Though if you do that then if your opponent can figure out what strategy you're on then they win. So again not sure how any strategy can win.
    Quote Originally Posted by Ominous Gamer View Post
    ℬeing upset is understandable, but be upset at yourself for poor planning, not at the world by acting like a spoiled bitch during an interview.

  9. #129
    Quote Originally Posted by Wraith View Post
    Does it matter? Wouldn't the best strategy just be to set your own coin randomly?
    What do you mean by randomly?

    You are right that it doesn't matter how many times it's played.

    Rand, it doesn't matter what your opponent did last round. Everyone has perfect information in this game.
    Hope is the denial of reality

  10. #130
    Quote Originally Posted by Loki View Post
    What do you mean by randomly?

    You are right that it doesn't matter how many times it's played.

    Rand, it doesn't matter what your opponent did last round. Everyone has perfect information in this game.
    Just flip the coin you have and use that result. There's no way to beat this strategy in the long or short-run. (same is true if you were playing paper-rock-scissors)

  11. #131
    Close enough I guess. Your strategy should be to play heads and tails with a 50% probability each. Neither player is better off deviating from this strategy.
    Hope is the denial of reality

  12. #132
    Quote Originally Posted by Loki View Post
    Close enough I guess. Your strategy should be to play heads and tails with a 50% probability each. Neither player is better off deviating from this strategy.
    The funny thing is, suppose your opponent wasn't doing 50% for each option (say he did heads EVERYtime) then your strategy would still only tie them. If you're facing a logical opponent it doesn't matter what you do. If I was playing against other humans, I'd start with randomness, but be looking for patterns in their play. Abuse that pattern (if found) until I lost an exchange, then go back to randomness.
    Last edited by Lebanese Dragon; 09-03-2012 at 08:02 PM.

  13. #133
    Take an isotope with a known half-life. Observe it for that long. If it decays, set your coin to heads. Otherwise, set it to tails.

    I don't think you can do better, because any other strategy you pick can be observed and countered by your opponent. Thus the optimal strategy for both players is to act randomly, and hope that luck favors them.

    edit: I didn't realize that the post list I was responding to was stale; LD already explained for me.
    Last edited by Wraith; 09-03-2012 at 05:37 PM.

  14. #134
    If the other player is dedicated enough, they'll figure out what you're doing though.
    Hope is the denial of reality

  15. #135
    Quote Originally Posted by Loki View Post
    If the other player is dedicated enough, they'll figure out what you're doing though.
    That was my point. Any non-random strategy can be figured out and countered. If you pick randomly, it doesn't matter if they figure it out.

    edit: I didn't figure out that my previous post was responding to a stale post list until after I made this one.

  16. #136
    New Riddle:
    What's the best strategy to statistically win a round-robin Penny Game tournament.

    Given the lay out of the field is 98 Logicians (who always play 50% heads/tails randomly), 1 strict pattern player, and You.

    By Strict Pattern player I mean A player who has a pattern (it is perhaps a complex one) but they never deviate from it, they don't take in any information from your play as an input to their pattern.

    The game rules are the same as loki set out, first to a 100 points per pairing.
    Last edited by Lebanese Dragon; 09-04-2012 at 01:25 AM.

  17. #137
    I feel like I killed the riddles thread somehow. Hint on the riddle I posted above this one: The key is finding a strategy that will statistically have greater probablity of beating the strict pattern guy than the logicians have. 2nd hint: The reason this strategy exist is because you know he has a non-adaptive pattern.


    NEW RIDDLE:


    Two convicts are locked in a cell. There is an unbarred window high up in the cell. No matter if they stand on the bed or one on top of the other they can't reach the window to escape. They then decide to tunnel out. However, they give up with the tunneling because it will take too long. Finally one of the convicts figures out how to escape from the cell. What is his plan?

  18. #138
    Walk out the door
    How do you expect to run with the wolves at night when you spend all day sparring with the puppies?

    - Omar Little

  19. #139
    Guess the door's locked. Use the soil etc dislodged from the tunnel to build a hill to get up to the window and escape through that.
    Quote Originally Posted by Ominous Gamer View Post
    ℬeing upset is understandable, but be upset at yourself for poor planning, not at the world by acting like a spoiled bitch during an interview.

  20. #140
    Quote Originally Posted by RandBlade View Post
    Guess the door's locked. Use the soil etc dislodged from the tunnel to build a hill to get up to the window and escape through that.
    This is correct.

    The answer to my other Round Robin Penny Game tournament riddle is:

    Spoiler:
    Logicians always win 50% of the time no matter who they play. So their record out of a 100 people will be around half win, half losses. Let's say you've played all the logicians then you'd have about won half, and lost half. Suppose the strict pattern guy has played all logicians, then he's won half and lost half. So everyone at this point has an equal standing in the tournament. However if you have a statistical edge over the strict pattern player then you'd have the statistical edge to win the tournment. The way you gain this edge is adaptive play. You start off playing like logicians, flipping a coin then using the result. However as you play this long game you look for a pattern in the opponent's play, and once you've isolated the pattern with greater than 50% confidence of winning you abuse it.


    Spoiler:
    The fact the logicians in this case are not abusing the pattern is why you have an edge over them. In general, though given no knowledge of the tourament, no context at all, you're best off playing as the logicians do. If you're trying to abuse a pattern (it's dangerous) because verse an equally talented adaptive player they will know exactly when you've reached greater than 50% confidence in their recognizing their pattern. They'll exploit the fact you're ready to try to exploit them.
    Last edited by Lebanese Dragon; 09-10-2012 at 12:47 AM.

  21. #141
    Lots of assumptions in your first "answer", many of them of dubious quality.

  22. #142
    I changed some wording but didn't change any meaning in my answer to the riddle, I posed. Also I assumed in the riddle I posted that the Logicians will not change their strategy of play no matter what (which I actually think is quite logical). With that restriction, and the restriction the strict pattern player will also not change his or her pattern then the solution I gave is quite clear.

    Abusing patterns is a dangerous game to play when you don't know anything about your opponent, and verse equal players it's nullfied. If you're sufficiently up in points, you can take a risk and check to see if your opponent has caught how strongly you know their pattern (aka try for an abuse). This is a wasted effort verse an equal player (even if that player started the game with a pattern).

    You really need to know the percentage of perfect players playing at the tournament, and non-perfect players to know if you should risk trying to abuse a pattern. (In my example you did know that, hence why you can abuse).
    Last edited by Lebanese Dragon; 09-10-2012 at 04:23 AM.

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