Better games, more fighting, more defending, less draws.
3 points for a win, 1 for a draw

I think chess needs this change.
too many friends meet in first round of a tournament and agree to a draw because they haven't ruined changes for either player.
I think the person with most wins should win the tournament not the player who manages to draw most games.
½ ½ ½ ½ ½ ½= 3 point
is currently the same as 1 0 0 1 0 1 = 3
however in the new system
½ ½ ½ ½ ½ ½= 6 points
1 0 0 1 0 1 = 9 points.( the two players may not meet eachother in the tournament.)
playing for the win is better and the one who isn't playing chess isn't doing just as fine.
a draw in the old system may still be enough in the end to get you a shared first place.

Yes, but that does not happen in the finals/playoffs/elimination stage! In that stage, we go to penalty kicks, no? In chess, in case of a draw, the equivalent is playing an Armageddon match. I do not think that an win or lose situation is good for the average player. Especially in class tournaments, it may lead to overaggresiveness in the middle rounds. a draw should be half of a win, and that is it!

Yes, but that does not happen in the finals/playoffs/elimination stage! In that stage, we go to penalty kicks, no? In chess, in case of a draw, the equivalent is playing an Armageddon match. I do not think that an win or lose situation is good for the average player. Especially in class tournaments, it may lead to overaggresiveness in the middle rounds. a draw should be half of a win, and that is it!
I don't know what you mean by "overaggresiveness" but if you say players will try to grind a win in a equal position, shouldn't we welcome the fighting spirit. It is too easy just call it a draw and call it a day.
I have seen too many agree to a draw in what they thought to be a drawish position after move 20 that turned out not to be that drawish if you analyzed them in computers afterwards.

Yes, and that is the point! The availability of a draw gives a new dynamic to the game! The would-be loser who gets his opponent to take the draw has made a good psychological decision! The player who chickened out is then weak! Draws are a part of the game!

Original Poster: Many draws are hard fought from a losing position so I feel this system would undervalue them.

@bangalore2 draws will still be part of the game. each players will just receive 1 point each.
we are not talking about the Sofia-Corsica Rules which bans draw offers. However I am fan of Sofia-Corsica Rules. but we are limiting the discussing to the point system.

Removing draws just changes the game entirely for the worse.
noone suggest to remove draws entirely even the sofia rules says
game can only be drawn after :
- Threefold repetition of position
- Fifty-move rule
- Perpetual check
- A theoretical draw
no draw offers.

I think the system is flawed as it is right now. I think people have no fighting spirit and many otb tournament got too boring because you had the feeling many just showed up to get a draw.
if two friends didn't show up and had to play a game later they just agreed to draw without playing.

Removing draw offers is plain stupid.
well it isn't just me that thinks it makes sense
http://en.wikipedia.org/wiki/Draw_by_agreement
quote: "The respected chess trainer Mark Dvoretsky, writing in a column for the Chess Cafe website, suggested that agreed draws should not be allowed at all, pointing out that such an agreement cannot be reached in other sports such as boxing. "

...sorry, but could we get back to the subject of 3 points for a win and 1 for a draw. I could be really interesting to try out in a tournament to see just how it would change the players style.

Monte Carlo 1901 and 1902 had the following system in place in order to reduce draws:
A won game counts 1 point. Drawn games have to be replayed; in case of a draw each player receives one-quarter of a point: if the drawn game between the same players is again drawn, then each man receives one-half point for both games; in case the game is won by either party, the winner receives an additional half point, a total therefore of three-quarters of a point for both the games, while the loser gets one-quarter.
How would it change the game if you in a tournament, OTB or online, got 3 points for a win and 1 for a draw?