tonymark,
Water constitutes about 85% of the weight of an egg. Some time ago, I weighed a single large egg (minus the shell, of course) and got a weight of 1.55 ounces (43.94 grams). If you take 85% of that number, you get 1.32 ounces (37.35 grams) as the water content. To adjust the hydration for baker's percents purposes, you would subtract 1.32 ounces (37.35 grams) from the amount of water in your formulation for each egg you use in the formulation. Unless you are making a lot of dough and/or using a lot of eggs, the differences in hydration would be fairly minor. But, to be a purist about the process, you would adjust the hydration to reflect the water component of the eggs.
You didn't ask, but I might add that the total dough weight for the formulation would also go up a bit to reflect the inclusion of egg yolks (0.55 oz., or 15.59 grams, per egg yolk). To keep the total dough weight constant, you would have to adjust the weights of the ingredients in the formulation slightly. Again, for a single egg, this would be trivial and could safely be ignored.
For Pizzabrewer's benefit, I might mention that it is not uncommon to see eggs used in a pizza dough. Many pizza operators do it. One of our members has done it for some time in a home setting. See
http://www.pizzamaking.com/forum/index.php/topic,1872.0.html.
Peter