And the "Favorite Stalone's Toy Reward" goes [...insert intriguing drum sound here...] to a "Ethical Hi Flying Skinneeez Squirrel 14-Inch Stuffingless Dog Toy".
Yes, it is a dog toy. He actually has 4 of toys like this(others being: a raccoon, a squirrel w/o rope ring and a beaver), but the squirrel in a rope ring seems to be the favorite toy of the moment. At leasts it looks like it from the photo reportages from home.
Stalone carries it around, plays with it, feeds it, hides it everywhere and even sleeps with it, as you can see illustrated on photos below.