People like to ask, are the geese with bigger hats more important in the flock than those with little or no hats?  The answer is yes.

The Tufted Roman Geese we have sometimes have tufts, or "hats."  Those with tall hats are higher in the pecking order than those with smaller or no hats.  This may be because the geese think that those with big hats are bigger. 

Our head goose has a nice "ten gallon hat!" 

So, make sure you greet the geese with bigger hats first!  It's polite.