Which are the best car tyres? Fat tackies or pizza cutters

Skinny tyres (pizza-cutter tyres) are better in slippery mud because they dig deeper, find a grippier surface and give more grip to keep you going.

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All tyres of any particular diameter are offered in several different widths ranging from “fat tackies” to “pizza cutters”.  Wider tyres are conspicuously the predominant choice for style but, other than that, what are the actual advantages and disadvantages?  What factors should determine choice? --DRG

The technicalities of different tyres are much more complicated than you might think.  

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