Search found 342 matches

by Gwydion
Tue Jun 19, 2012 1:00 am UTC
Forum: Mathematics
Topic: Hi/Game structure for financial markets
Replies: 36
Views: 7936

Re: Hi/Game structure for financial markets

So, the following may or may not be the intent of the original author - following in timm's footsteps, I've attempted to translate the original wall of text into actual English/mathspeak where I've been able. I've also chosen to freely interject my opinions, and hopefully those can be easily separat...
by Gwydion
Mon Jun 18, 2012 8:57 pm UTC
Forum: Gaming
Topic: Kickstarter Thread. Everything Goes Here.
Replies: 426
Views: 163792

Re: General Kickstarter Games Thread

Have there been any games released -- or betas, even -- that have been funded by Kickstarter? I think Kickstarter has only been around for a bit (or maybe has only been popular for a bit) so this might not actually be realistic, but it'd still be nice to actually have something to play after hearin...
by Gwydion
Sun Jun 17, 2012 9:05 pm UTC
Forum: Logic Puzzles
Topic: A prison with an infinite number of cells
Replies: 28
Views: 8482

Re: An prison with an infinite number of cells

@Jona: Nope. From every random cell, there's only a finite number of sells on the lower end. I see your point. I guess that I'm envisioning it as ... as a memory pointer in comp sci. $array[0] points to a bit of information (a cell) and $array[-1] also points to a bit of information...
by Gwydion
Fri Jun 08, 2012 3:25 am UTC
Forum: Gaming
Topic: [Rule Update Debate] Kickstarter Threads (Ends June 21st)
Replies: 15
Views: 2592

Re: [Rule Update Debate] Kickstarter Threads (Ends June 21st

Voted for #3 because I thought that meant what you're all calling 3.5. Not sure I see the difference, so I suppose either one works.
by Gwydion
Mon Apr 23, 2012 11:45 am UTC
Forum: Logic Puzzles
Topic: Seventeen "Blue Eyes" Objections and Responses [SPOILER]
Replies: 73
Views: 39359

Re: Seventeen "Blue Eyes" Objections and Responses [SPOILER]

Given that all the inhabitants are perfect logicians, the most uniquely efficient strategy would be common knowledge, as would be the need for everyone to utilize the same strategy in order for it to work. Thus they would all instantly and independently know the earliest day they could go down to t...
by Gwydion
Fri Apr 20, 2012 10:01 pm UTC
Forum: Logic Puzzles
Topic: Seventeen "Blue Eyes" Objections and Responses [SPOILER]
Replies: 73
Views: 39359

Re: Seventeen "Blue Eyes" Objections and Responses [SPOILER]

I think my biggest objections to Peeling's suggestion are the following: 1) As has been mentioned, implementing this strategy among everyone would require some degree of cooperation. Why should the transformation from {eye colors} into a number of days be chosen your way? Why shouldn't it be an alph...
by Gwydion
Thu Mar 29, 2012 4:23 am UTC
Forum: Logic Puzzles
Topic: The Disgruntled Alien Visitor
Replies: 9
Views: 5118

Re: The Disgruntled Alien Visitor

[...] That leaves you n >= 3 questions to discover their intentions. "What are their intentions?" is kind of a vague question, so you'd have to make reasonable guesses and prioritize. I'd go: 3. Will your plans significantly decrease the average well-being of the current autonomou...
by Gwydion
Sun Mar 25, 2012 4:39 am UTC
Forum: Logic Puzzles
Topic: Imposter Puzzle
Replies: 69
Views: 18815

Re: Imposter Puzzle

HonoreDB, that plan will work exactly once: Have Thurn X sit in on a meeting and say random things. He's gonna die. Before he does, though, he gets a chance to hear everyone else's word-and-hash pair. Once those are transmitted to the group, the actual function or group password are unnecess...
by Gwydion
Tue Mar 20, 2012 3:55 am UTC
Forum: Logic Puzzles
Topic: Magic: the Unsolved Problems in Mathematics
Replies: 18
Views: 5724

Re: Magic: the Unsolved Problems in Mathematics

Sure, but taking back the example of the Collatz card used on your opponent's life total - say B's only cards in play are this Collatz card and an Enchanted Sorceror (or equivalent). The only way for B to win this turn (or at all, given Psychic Battle or equivalent) is to use Collatz a finite number...
by Gwydion
Mon Feb 27, 2012 7:13 pm UTC
Forum: Logic Puzzles
Topic: Seventeen "Blue Eyes" Objections and Responses [SPOILER]
Replies: 73
Views: 39359

Re: Seventeen "Blue Eyes" Objections and Responses [SPOILER]

let me rephrase my problem: "if this obviously red apple was green, then *ultra complex deduction logic with several nested recursions". since that which the ultra complex algorithm predicted did not happen, the apple cannot be green."... my solution "return daysPassed == number...
by Gwydion
Mon Feb 27, 2012 3:20 am UTC
Forum: Logic Puzzles
Topic: Seventeen "Blue Eyes" Objections and Responses [SPOILER]
Replies: 73
Views: 39359

Re: Seventeen "Blue Eyes" Objections and Responses [SPOILER]

i found this riddle somewhere else and wasn't satisfied with the recursive solution, so i came up with a simpler one: everyone sees n or n-1 blue eyes. everyone goes looking for a counter. since all think alike, they will all pick the same counter. now they think: i will join the group that gat...
by Gwydion
Thu Feb 23, 2012 1:15 pm UTC
Forum: Logic Puzzles
Topic: The perfect Chess AI engine
Replies: 89
Views: 40336

Re: Re:

According to what I read. In professional games white wins 60% of the time. The only reason why this would happen would be because they get the first move. Definitely not. The chessgames.com Database gives us: White wins 232,924 games (37.27%) Black wins 170,325 games (27.26%) 221,657 games are dra...
by Gwydion
Sun Feb 05, 2012 3:26 pm UTC
Forum: Logic Puzzles
Topic: Making Waves
Replies: 29
Views: 6819

Re: Making Waves

Trying a more physical solution than a mathematical one: Mark two points (A, B) on the posterboard, and with the compass and straightedge mark a third point halfway between them (C) with the pencil. Place two thumbtacks at A and B. Tie a length of string between the thumbtacks, as ta...
by Gwydion
Fri Feb 03, 2012 4:05 am UTC
Forum: Logic Puzzles
Topic: Seventeen "Blue Eyes" Objections and Responses [SPOILER]
Replies: 73
Views: 39359

Re: Seventeen "Blue Eyes" Objections and Responses [SPOILER]

I'd like to add a couple variations of my own. 1. During the meeting, all the islanders were sitting in a large circle around the Guru. After she makes her big announcement, she goes up to each islander in turn and publicly asks, "Do you know the color of your eyes?" She keeps going aroun...
by Gwydion
Thu Feb 02, 2012 4:01 am UTC
Forum: Logic Puzzles
Topic: Seventeen "Blue Eyes" Objections and Responses [SPOILER]
Replies: 73
Views: 39359

Re: Seventeen "Blue Eyes" Objections and Responses [SPOILER]

Thank you for this. I only hope this thread doesn't make the other one disappear into the ether, because it was a fun few years arguing about the blue-eyes puzzle.
by Gwydion
Sat Jan 28, 2012 4:32 pm UTC
Forum: Logic Puzzles
Topic: 100 prisoners and a lightbulb
Replies: 45
Views: 23100

Re: Re:

At 197, it must be the case that everyone except one person visited twice, and the one remaining person visted once, or something like that. 198. If the light starts off and the Alpha is first, then one can imagine a situation in which some prisoner Px never visits the room, but all the others visi...
by Gwydion
Wed Jan 25, 2012 1:52 pm UTC
Forum: Logic Puzzles
Topic: A hundred tourists
Replies: 28
Views: 11447

Re: A hundred tourists

A version of this problem is similar to another thread, since I can't remember which one, I will explain it here... The thread you're looking for is http://forums.xkcd.com/viewtopic.php?f=3&t=76500 . I recall an older thread (which I can't find right now) which dealt with the same problem, yet ...
by Gwydion
Wed Jan 25, 2012 4:44 am UTC
Forum: Logic Puzzles
Topic: Pirate Democracy
Replies: 52
Views: 15450

Re: Pirate Democracy

We can speak of P1 making "demands", but in the end, P2 can always match P3's bid, so it's not a matter of making demands as much as P3/P2's willingness to play along. As discussed before, P3 can NEVER get P2's vote, and P1 will always vote for any strategy in which he gets strictly more f...
by Gwydion
Mon Jan 23, 2012 6:43 am UTC
Forum: Logic Puzzles
Topic: Some tricky logic puzzles.
Replies: 41
Views: 10530

Re: Some tricky logic puzzles.

Also, there could be a question like this: If I asked the anti-knave Q, would they answer ja? Well, no. That question will be answered differently by the anti-knave and anti-knight. Since you don't know to whom you're speaking, you have a 50% chance of failing. I think the right answer is t...
by Gwydion
Sun Jan 22, 2012 6:16 pm UTC
Forum: Logic Puzzles
Topic: Some tricky logic puzzles.
Replies: 41
Views: 10530

Re: Some tricky logic puzzles.

Of course, this depends on a particular interpretation of what an anti person is. If they put themselves in the shoes of the person they're related to, work out what their answer would be and then reverse it, then your argument is right. But, if they answer from their own shoes, as it were, and the...
by Gwydion
Sat Jan 21, 2012 7:16 pm UTC
Forum: Logic Puzzles
Topic: Some tricky logic puzzles.
Replies: 41
Views: 10530

Re: Some tricky logic puzzles.

I have an extra question, which explores what can be done with anti-knights and anti-knaves. You are a prisoner. You are taken to a room containing 4 people, who you know are a knight, a knave, an anti-knight and an anti-knave, though you don't know who is who. You must ask a single question to one...
by Gwydion
Mon Jan 16, 2012 2:18 pm UTC
Forum: Books
Topic: Top 100 Sci-Fi/Fantasy Books flowchart
Replies: 10
Views: 5882

Re: Top 100 Sci-Fi/Fantasy Books flowchart

I've done 17 as well, though as Adacore said, many of the books they mention, I've read 4+ into the series. Also, I've got 5 on my shelf, next in line to be read. I realize now that, based on the substantial length of most SF/F books, this list would take me several years to actually read. If you co...
by Gwydion
Sun Jan 15, 2012 5:08 pm UTC
Forum: Logic Puzzles
Topic: Pirate Democracy
Replies: 52
Views: 15450

Re: Pirate Democracy

All right, now P2 writes (499 to P2, 501 to P1), and P3 pays the cheaper of the two for his vote - P2 gets half, P3 gets half, P1 is out of luck. Now add in a fourth pirate - I'm not sure how this would work out except that it will clearly be in P4's favor. He only needs one other vote, which means ...
by Gwydion
Sun Jan 15, 2012 2:44 am UTC
Forum: Logic Puzzles
Topic: Pirate Democracy
Replies: 52
Views: 15450

Re: Pirate Democracy

The 3 pirate case still isn't that simple though... pirate 1 cannot demand 501 gold so easily! Consider: if pirate 1 demands 502 gold, that means pirate 2 has committed to paying pirate 1 501 gold, which means pirate 2 is left with... 499 gold! 500 gold would buy his vote, as opposed to 502 for pir...
by Gwydion
Sun Jan 15, 2012 1:47 am UTC
Forum: Logic Puzzles
Topic: Pirate Democracy
Replies: 52
Views: 15450

Re: Pirate Democracy

WarDaft, mike hits it on the head there - if there are no further actions, there is nothing to compel P2 to actually hold to his word. It's not really about the commitment to being honest, but the belief by other players that you are committed to being honest (whether you'll betray in the end or not...
by Gwydion
Sat Jan 14, 2012 9:18 pm UTC
Forum: Logic Puzzles
Topic: Pirate Democracy
Replies: 52
Views: 15450

Re: Pirate Democracy

The 'enforcement' is that pirate 2 cannot act erratically, everything pirate 2 does is deducible logically. If we, somehow, logically deduce that pirate 2 will not betray pirate 1 after pirate 3 is thrown overboard... then how can pirate 2, a perfectly logical being , not act exactly as we have ded...
by Gwydion
Sat Jan 14, 2012 5:52 pm UTC
Forum: Logic Puzzles
Topic: Pirate Democracy
Replies: 52
Views: 15450

Re: Pirate Democracy

...in the 3 pirate version, pirate 2 can "commit" to paying pirate 1 at least 2 gold should pirate 1 down vote pirate 3. He can do this merely by it being his only possible means of obtaining gold in the 3 pirate version. He cannot later betray pirate 1 by not giving him 2 gold after pira...
by Gwydion
Sat Jan 14, 2012 1:24 am UTC
Forum: Logic Puzzles
Topic: Pirate Democracy
Replies: 52
Views: 15450

Re: Pirate Democracy

First off, we've completely derailed this thread, so if I can't bring it back into line here, I'm happy to drag this discussion to PM. A threat (or promise) is meant to be persuasive, but that's insufficient to call it a threat. A threat (or promise, switch to positive wording where needed) is when ...
by Gwydion
Fri Jan 13, 2012 11:45 pm UTC
Forum: Logic Puzzles
Topic: Pirate Democracy
Replies: 52
Views: 15450

Re: Pirate Democracy

For an example of a symmetric game in which it is suboptimal for two perfectly rational players to play symmetrically, take the "Gift of the Magi" story - both players prefer to give the other a gift and not get one in return. The "optimal" outcome for either player is the same, ...
by Gwydion
Fri Jan 13, 2012 10:24 pm UTC
Forum: Logic Puzzles
Topic: Pirate Democracy
Replies: 52
Views: 15450

Re: Pirate Democracy

There are no threats or betrayals between perfectly logical beings. There is no doubt that someone will go through with their best possible plan, because they didn't promise to do so but rather because their plan was deduced logically . As perfectly logical creatures, they cannot and will not act c...
by Gwydion
Fri Jan 13, 2012 2:07 am UTC
Forum: Logic Puzzles
Topic: Pirate Democracy
Replies: 52
Views: 15450

Re: Pirate Democracy

The trouble with introducing irrational characters is that it's hard to anticipate future decisions, and therefore the steps of the logic break down quickly unless you know how P2 behaves. But regardless of the number of pirates, irrationality by a single pirate either does nothing, or loses that pi...
by Gwydion
Sun Dec 11, 2011 1:03 am UTC
Forum: Movies and TV Shows
Topic: Nathan Fillion's New Series: Castle
Replies: 319
Views: 132316

Re: Nathan Fillion's New Series: Castle

They couldn't move the box before because it was full of hundreds of pounds of manacles and chains. They emptied it out part-way through the episode, leaving it light enough to move.
by Gwydion
Fri Dec 02, 2011 7:42 pm UTC
Forum: Logic Puzzles
Topic: My write-up of the "Blue Eyes" solution (SPOILER A
Replies: 1368
Views: 405543

Re: My write-up of the "Blue Eyes" solution (SPOILER A

For clarification, if the guru *did* speak every day, there would be no new information gained after the first time. This helps to clarify the fact that she does communicate a single, quantifiable datum rather than serve as a theoretical "jumping-off point" for otherwise arbitrary decisions.
by Gwydion
Tue Nov 29, 2011 5:23 pm UTC
Forum: Food
Topic: Favorite Place to Get a Burger?
Replies: 139
Views: 69558

Re: Favorite Place to Get a Burger?

Please tell me that's multiple smaller patties and not one ten ounce patty. A ten ounce patty isn't a burger, it's a meatball that never cooks right. Bleh. Nope, one burger. I prefer mine med-rare, so it's always cooked beautifully for me, but they'll overcook them if you ask. They sell "slide...
by Gwydion
Sat Nov 26, 2011 4:30 am UTC
Forum: Music
Topic: Covers That Are Better Than The Originals
Replies: 294
Views: 121358

Re: Covers That Are Better Than The Originals

Faith No More's version of "War Pigs" (Sabbath). Much of the feel remains, but with a more polished sound and (in my opinion) better vocals.
by Gwydion
Thu Nov 24, 2011 5:11 am UTC
Forum: Food
Topic: Favorite Place to Get a Burger?
Replies: 139
Views: 69558

Re: Favorite Place to Get a Burger?

There have been several posts about the "best burger" in Chicago, but nobody's mentioned Kuma's Corner yet. The atmosphere isn't for everyone (loud local/indie heavy metal) and the price is a bit steep, but the food is unbelievable. 10-oz burgers with a wide variety of toppings - my favori...
by Gwydion
Thu Nov 17, 2011 11:51 am UTC
Forum: Logic Puzzles
Topic: 3 heroes with hats vs a villain
Replies: 54
Views: 15515

Re: 3 heroes with hats vs a villain

If the hats are chosen randomly, there's a way to do significantly better than 50%: If one sees two hats of the same color, guess the other color; otherwise abstain. In this case, each individual abstains in 4/8 cases, guesses right in 2/8, and guesses wrong in 2/8, but they all guess wrong on the s...
by Gwydion
Mon Nov 14, 2011 4:43 am UTC
Forum: Logic Puzzles
Topic: My write-up of the "Blue Eyes" solution (SPOILER A
Replies: 1368
Views: 405543

Re: My write-up of the "Blue Eyes" solution (SPOILER A

So, what you are saying is that no matter how many blue-eyed people there are, as long as it as at least 2, they will leave on day 2? So, say, if there are 100 blue-eyed people and 100 brown-eyed people, then all 100 blue-eyed people will leave on day 2? Or if there are 99 blue-eyed people and 101 ...
by Gwydion
Mon Nov 14, 2011 3:49 am UTC
Forum: Logic Puzzles
Topic: My write-up of the "Blue Eyes" solution (SPOILER A
Replies: 1368
Views: 405543

Re: My write-up of the "Blue Eyes" solution (SPOILER A

But you fail to recognize just what is "shared knowledge". You are correct - if there were a giant sign that said "there are at least 499 blue-eyed people" which was visible to all the islanders at all times. This sign does not exist in the current statement of the puzzle. In fac...
by Gwydion
Wed Sep 14, 2011 2:19 pm UTC
Forum: Logic Puzzles
Topic: Three Guns
Replies: 12
Views: 3465

Re: Three Guns

Thanks. I missed the part in the OP about not being able to purposefully miss, despite that being the way to "optimize your survival chances". I re-ran the numbers and agree with Qaanol's analysis, based on that.

Edited for spelling

Go to advanced search