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What about the following rule: You get points, but your score is not your own points, but the points of the best player below you, or 0 if you are the worst player. Obviously if you are the worst ...
#1: Initial revision
What about the following rule: You get points, but your score is not your own points, but the points of the best player below you, or 0 if you are the worst player. Obviously if you are the worst player, you want to increase your own points. But if you are the best player, you definitely want to increase the points of the second-best player, at least as long as you are not overtaken by that. Strategies by those in between are more complex because overtaking someone may give a bigger boost, but helping the next one below you will be sure to give you points, as long as he doesn't overtake you. And keeping the next one below close will protect against the effect of being overtaken. Of course this needs to be combined with a game mechanic where you can actually help others. The simplest would be that you can donate some of your points to someone else. Other ways could be e.g. to remove obstacles for them.
