How about this:
(i) Everyone creates a programmatic organism that conforms to a preset interface (Eat, mutate, sleep, shag, die)
(ii) Everyone's organisms are loaded into an environment
(iii) Someone presses go
(iv) the meglomaniac organism that either (i) is in the majority, or (ii) is the only one left after a given piece of time wins.
The object of the exercise is that the environment will measure the efficiency of the organism against the other ones, and the ratio of efficiency will determine how much the organism gets to eat, sleep, shag, or simply dies.
There should be a resource pool which is limited - which should mean the poorer orgranisms will need to mutate or die.
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