Why does Hayama feel that he is inferior to Hachiman? I have watched the anime and read the light novel as well but I can't understand why he feels that he is inferior?
Well, Hayama has the good looks, friends and stuff, but most of his "friends" would just stop being friends if Hayama isn't "Hayama" anymore; Most of his "friends" would just abandon him, if he were to be attacked by a bear somewhere in a forest.

He realizes this after trying to see from Hachiman's point of view, Hachiman's cynical and "real" outlook on 'the youth', society, and life in general doesn't seem too far fetched.

Hayama being the "good guy" tried to "associate" better with Hachiman because he "pities" him, but then realizes that most of Hachiman's world views are painfully accurate; and that his way of thinking isn't totally wrong either, and that is what makes Hayama think he is inferior to 8man.

or maybe because Hachiman has two girls going after him, while Hayama has a bitch, and a girl that's going to die of blood loss sooner or later. (#TeamYukinon)