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Your "diversity-based" actually describes two different criteria: diversity-based and improvement-based.
For MOBJ I don't think population diversity will be a good stop criterion, except in very particular situations (problems with non-tradeoff objectives).
Improvement based could be a good idea, and is related to your other suggestion (utility-based) - we would only need to define a utility measure (hypervolume, maybe? Or another indicator?)
Some simple to program stop criterias, for adding after the paper is submitted:
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