That's a good point. Further, you are unlikely to pose a serious threat hiding food (or making political moves, scheming to find the best mate or whatever) fro

That's a good point. Further, you are unlikely to pose a serious threat hiding food (or making political moves, scheming to find the best mate or whatever) from yourself. Others do pose that threat. You can see the effects of the greater stakes by way of evolution. We can intricately reason with folk-psychology, "he believes she thought he put the food under the rock but he thinks she knows he knows she thinks he's going to hide it there, so he thinks he may get away with placing it there" but we are introspectively blind.