Cool, thanks for the link. I do agree that it would be pretty fun to see a GM tournament with a one-off rule that delivering stalemate is a win, and just see how the players deal with it. Has it never been done?

Also, a rule that says if you agree to a draw then its a win.

By logic stalemate rules need to be changed.

The idea of check and mate, is not to completely change chess with a new rule, its just something made to make impossible to players to make some mistake that would make them lose the game when the game could continue. 

So, the player would make the move and lose, but other moves that he could have made would not result in a loss, so the game is ending by pure mistake.

Thats why, if the player enemy is attacking the player king but would not be able to move to the place because it would put him into check, it still count as check. This happens because on normal chess game, this enemy player would be able to capture the king and win.

On the stalemate situation all moves the player can make will make him lose the game, so if he makes some move and lose its not a mistake, because there was no other move that would make him not lose* and so he is not losing by a stupid mistake.

*Unless he request draw and the other player accept. 

So, stalemate should be a win for the other player.

BUT...... chess is usually played with timed rules, so it would be possible to happen this situation:

A guy is stalemated (forget check rules now) and make the move, but then on the next turn the enemy time runs out before he capture the king.

So, there is a way to not lose on a stalemated situation if you are on timed chess.

Based on that we need two rules  to different chess types.

If  the chess is not timed, when on a stalemated position you can request draw, if he not accept (most likely), you lose.

If chess is timed a different is needed:

If you are on a stalemated position, you need to make some move (or request draw) or the time will run out and you will lose , then the enemy player will need request draw or make some move (and so capture your piece) before the time runs out of he will lose the game.

While thinking about those rules this made me think about the check rules, check is a win but, this doenst means the other guy would be fast enought to capture your piece before he runs out of time. So, in theory a similar rule need to be made to the check rules.