Comments for Absolutely useless

Comment on Economy in an infinite world by Sune Kristian Jakobsen

Sune Kristian Jakobsen — Wed, 08 Feb 2012 13:10:11 +0000

Yes, exactly.

Comment on Economy in an infinite world by tom

tom — Wed, 08 Feb 2012 13:09:03 +0000

Ohh sorry I probably misunderstood the original problem. In original problem you have neighbor structure which looks like cayley graph right? but you don’t have labeled rooms so you don’t know which way send the money.

Comment on Economy in an infinite world by Sune Kristian Jakobsen

Sune Kristian Jakobsen — Tue, 07 Feb 2012 20:07:47 +0000

I’m not sure I understand you. If every room can send money and information to any other room, then why care about the neighbor structure?

Comment on Economy in an infinite world by tom

tom — Tue, 07 Feb 2012 14:07:56 +0000

Hi, I nice post.
I’m trying solve the problem at the end of the article. But I’m bit confused. If you have some notion of neighborhood you don’t need dices. You can build version of Caley graph that order of vertices would grow as you go deeper into the graph. So middle one(as on wiki picture) would have order 4 his neighbors would have order 5, four of their neighbor would have order 6 and one 4 and so on. So everyone except the middle one would have n-1 neighbors with order n+1 and one neighbor with order n-1. Instruction will be: “send all your money to your neighbor with least amount of neighbors”
So you don’t need dices.

I came up with modification.
Let’s Satan gives you neighbor structure and your task as God is to come up with strategy to make every one rich. One more rule: room can exchange information and money with anyone not just with their neighbors.

Than I solved the problem if rooms are isomorph to whole numbers as order set. That means graph of neighbor structure is line and there is global notion of left and right(every one has left and right neighbor). Now I’m trying to solve case when everyone is neighbor with everyone(but you can’t accept or receive infinite amount of money).

Comment on Economy in an infinite world by Feeling like marshmallow « Gabrilea Blog

Feeling like marshmallow « Gabrilea Blog — Fri, 03 Feb 2012 10:41:05 +0000

[...] p.s. I just loved this articel – Economy in an infinite world [...]

Comment on IMC09 problem 2 by A solution to IMC09 problem 2 « Absolutely useless

A solution to IMC09 problem 2 « Absolutely useless — Sun, 25 Sep 2011 08:34:41 +0000

[...] this assumption, we have to do something else. (We could use a limit argument, like Gowers did in a comment to my last post, but I didn’t think of this trick when I solved the [...]

Comment on Cauchy’s functional equation II by science and math

science and math — Fri, 20 May 2011 08:39:00 +0000

Nice thanks for the pdf file.
I enjoyed reading your article , your writing style is great.

Comment on Cauchy’s functional equation I by Sune Kristian Jakobsen

Sune Kristian Jakobsen — Wed, 23 Feb 2011 14:37:57 +0000

Fixed. Thanks!

Comment on Cauchy’s functional equation I by Johan Richter

Johan Richter — Wed, 23 Feb 2011 13:14:38 +0000

There is a LaTex error in the second bulleted point of section 3.

Comment on Cauchy’s functional equation II by Cauchy’s functional equation I « Absolutely useless

Cauchy’s functional equation I « Absolutely useless — Tue, 21 Dec 2010 14:50:48 +0000

[...] I’ll post the first half of this, and I will post the rest in a few days (update: It’s here. Here you can also find the notes in pdf.). If you have anything to say about the mathematics in [...]