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A big part of rolling resistance is tire deflection, or the size of the flat patch on the pavement, that is why it is possible for some wider tires to be lower rolling resistance then a narrower tire, an example of this is on my bicycle, I'm a big guy and my 1 1/8" wide high pressure racing tires roll with just as much resistance at 100psi as my 2" wide bicycle tires do at 80psi because both tires need to hold my weight up and a wider flat spot ends up being less of a hill to overcome, at some point of course going wider is not going to give any gains.
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