> But they need to make sure wins give you e.g. 3 points and draws only 0.5.
As black under such a system I might be more strongly incentivized to go for the draw than under the current system. I'm already starting at a disadvantage by having black, so pressing for the win is extra risky, and if I do go for it and lose my opponent gains 3 points on me.
If you want to reduce draws by playing with points you probably should included something that takes into accounts white's advantage. You want to make sure white has a strong incentive to push for the win, which in turn also increases the chances white will go too far, giving black a good chance to also push for the win.
For example, asymmetric scoring such as black gets 3 points for a win, 1 point for a draw, and white gets 2 points for a win, 0 points for a draw. That system was tried in a couple or so tournaments around 2005 or so.
As far as the format goes, I wonder if a small tournament coupled with something like the promotion/relegation system used in many soccer leagues would be good?
Have a Champions Tournament that consists of 4 players that play a double round robin (or maybe a quadruple round robin?) for the World Championship. The participants are the current Champion, the runner-up from the prior Champions Tournament, and the top two from the Candidates Tournament.
The Candidates Tournament would include the 3rd and 4th place players from the prior Champions Tournament, the 3rd and 4th place players from the prior Candidates Tournament, and some players who are invited based on rating, World Cup, and Grand Prix results.
Maybe also make the Candidates bigger than it is now, say 10 or 12 players. That would be too long to hold as a single event, so split it. Play some of the games as part of the World Cup event and some as part of the Grand Prix events.