Board Game Arena

I tried to find a mathematical combinatorial game, and I wanted it to be a Pen-&-Paper game too. This is what I came up with:

https://docs.google.com/document/d/1NY- ... sp=sharing

Here is my initial analysis of the game:

https://boardgamegeek.com/thread/273404 ... hmetic-mul

If you scroll down in that thread you will see that someone has already brute-forced 3x3 for us, and it looks like pie should work nicely. I'm still not sure which player may or may not have an advantage on 4x4, and I'm not sure what the best way to implement pie for a game with second player advantage would be.

Draws should be pretty rare, but they are out there! If my feelings about advantage turn out to be correct, then I suppose it makes sense to award draws to the player who's most likely to be at a disadvantage right?

You can easily test the game for yourselves in “google sheets”:

https://docs.google.com/spreadsheets/d/ ... sp=sharing

I forget the name of the board game I know which use that mecanic.
Deck of 30 cards: 5 cards of value '0', 5 of value '1', and so on until '5'.
One player play with columns, the other with line.

Each player draw 12 cards, and we put one card in the middle.
At each player turn, you add one card on the board which have size 5x5.

At the end of the game the player with the worst column, or the worst line lose the game.
The worst line is defined by that, you add:
- sum of cards
- X*10 points for a pair
- 100 points for a trio

So the goal is to maximise the value of your worst line or column, while minimising the value of opponent's worst column or line.
Your game seem really similar.