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I don't understand this, I would expect the $-1 row to be all 0. As the computer would never (it isn't allowed) choose this row. I found my error. It was the entire 2. column. I had written in my program that if the computer had 1 marble left, the player needed 1 more money than the computer...

I did it! Using the matrix method, I was able to quickly write a short program in python that finds the 175 answer in 0.22 seconds. However, I need your help borrofburi, has something weird has emerged. Here is my final table showing what money you need to win. The element i,j shows what you...

Hmm, I think I need to go back to the drawing board. Basicly I wrote a program that looks at a state, determines what bids A can make from that state, look at the 2 derivate states from those bids (Overbid and No Bid), and look at those states in the same way I looked at the original state...

Congratulations, you definitly beat me to it. I still can't find any bugs in my own program. So I think I need to scrap the entire thing and start fresh. Mind posting your code, so I can look at it? That was just insane...

Indeed, Python's dictionary feature is quite handy and easy to use, altough I haven't actually used dictionaries in my code so far, I might have to change into it, for efficiency. Doing my best, but isn't that good at coding yet, so getting a lot of silly answers for now. As for the elegent...

Wow, this is basicly what I have been doing all day. Never heard about a minimax before seeing your comment here, but had already typed up some code doing it recursive. It's quite hard to optimize now, I'll have to read up a bit it seems ;)

Thanks! Although, when reading it, I realize it might be a bit (a lot) beyond my programming capabilites, but I'll give it a shot. No, it isn't. Just doing it because my mind likes a puzzle.

I'm doing it in python =)

I'm trying to do this, but only learned programming recently, so finding it quite challening.

Great! We have a discussion going. A lot of good suggestions being thrown around. I used most of the day trying to solve it by programming, got a program I think should work now, but it gives 205 as an aswer, which seems to high. Guess I have a logical flaw or 2 or maybe just some bugs I need...

Hey guys, A friend gave me this game, telling me he has been using a lot of time over the past year on it without really getting anywhere. I've wrecked my brain, but just can't seem to get a foothold. I think an analytical solution might be way beyond my mathematical capabilites, and when it...

Well. The problem is the term "anti-gravity" in itself is quite vague, and is rarely used in physics. Pulling the definiton from wikipedia shows: "In physical cosmology, astronomy and celestial mechanics, anti-gravity is the idea of creating a place or object that is free from the force of...

Have been really busy with uni. and a new job, so haven't been that active online lately. But thought I should just pop back in to wish LoR a happy anniversary. Rock on.

That's not really doublethink though. It's just a case of "Well, sure they are dangerous, but the benefits far outweigh the costs". As Prolescum explained. The ideas: 1. Mobile phones are bad for your health 2. Mobile phones are extremely practical Are far from contrary. In fact, you could...

Re: ** STICKY ** Funny Pictures v2: "OMG NEW THREAD!" Editio You have GOT to tell us where you got that!

Second option definitly. For some people the third might be better, but from your post I got the feeling you would have a hard time explaining, which in the end probably will leave to both of you being frustrated in the end. I wouldn't go for the first option. I realize that she might be gone...

Amazed no one has linked this video yet Yes. That is the Enterprise-D. Yes. That is a 1:1 scale. Yes. This video is real.

My bad. I have an easier time explaining challening concepts to people in person, when I can see their response on a word-by-word basis. Also, english is not my native language, so I find discussing physics and math difficult in english, as I tend to innocently mix up phrases that sound similar...

I am well aware of this, did I indicate otherwise? Perhaps I did, in that case I apologize, I wrote my comment in haste. I was just trying to clearify that 0 is a number, just like any other number. This might seem obvious to anyone who knows math, but I have on many occasions had tireing...

Not neccesairly, it represents the only real number that is neither negative nor positive. (And we are talking about the number zero. It is, after all, a number, don't try to pretend otherwise) Please don't bring reality into this. We're talking about mathematics, not reality =P