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## #1 2012-07-06 20:12:27

anna_gg
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### Dots game

We have a grid of dots m x n, where m is the number of rows and n the number of columns, where m≠n and m, n >2.
.......
.......
.......
.......
.......
.......
Two players alternate turns and choose one dot from the grid and then pick all dots above and to the right of these dots. The purpose of the game is to force your opponent take the last dot.
Do I play first or second? What is the strategy to win?
...
...
...
...
.......
.......

(for example I chose the 4th dot of the 3rd row from the bottom, so I got all 16 dots above and to the right of this one).

## #2 2012-07-06 21:09:13

anonimnystefy
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### Re: Dots game

Hi anna_gg

The 3rd row doesn't have a 4th dot.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“A secret's worth depends on the people from whom it must be kept.” ― Carlos Ruiz Zafón

## #3 2012-07-06 22:07:00

anna_gg
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### Re: Dots game

The grid is initially as at the top of my post. Then after removing the dots, is like it shows below the text. Sorry, I don't know how to do the graphic!!

Last edited by anna_gg (2012-07-06 22:25:11)

## #4 2012-07-06 22:20:03

bobbym

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### Re: Dots game

Hi anna_gg;

Isn't this game called Chomp?

In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

## #5 2012-07-07 00:19:38

anna_gg
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### Re: Dots game

#### bobbym wrote:

Hi anna_gg;

Isn't this game called Chomp?

I have no idea!!! Maybe!!!!

## #6 2012-07-07 01:46:37

bobbym

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### Re: Dots game

Hi anna_gg;

http://research.microsoft.com/en-us/um/ … gtlect.pdf

See if their analysis is good enough.

In mathematics, you don't understand things. You just get used to them.
90% of mathematicians do not understand 90% of currently published mathematics.
I am willing to wager that over 75% of the new words that appeared were nothing more than spelling errors that caught on.

## #7 2012-07-10 23:06:33

anna_gg
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### Re: Dots game

Many thanks bobbym

bobbym

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Hi;