Preheat oven to 350. Mix together white and brown sugars. Add melted butter and mix together. Add the egg and vanilla and mix again. Next, add the peanut butter and mix. Finally add the flour and mix well to form a soft dough.
Divide the dough in half and spread on 2 greased, small pizza pans (12 1/4 x 1/2). Sprinkle the chocolate chips on top of dough. Then place mini-marshmallows on top of chocolate chips.
Bake at 350 degrees for 15 minutes or until done (marshmallows will be golden brown).
**I always divide the dough to make 2 pizzas so I can have one for my family and one to share with a friend, but you can just make 1 large pizza. Either way, this pizza is delicious!