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The variables are to varied. Wide vs narrow would have to factor in not only rolling resistance but wind resistance at the speeds you would normally travel. It might make sense to have wider tires for slower driving, but the increased wind resistance from the wider profile might be detrimental at higher speeds.
Probably the main factor is keeping engine RPM and BSFC in the sweet spot. For most cars, that probably means having taller "gearing" with larger diameter tires at the expense of acceleration. Ideally a change to the gearing would be made instead of changing the stock tire size.
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