Does "grandeur" mean "the grandeur of self-image"?

It means they tend to think that they are special, more important than they are, have special knowledge or abilities, that other people are worth less than they are. Some think they are important people from history.

It can mean that, yes. Sometimes people use it more informally to describe someone who's just arrogant or self-important, too. The phrase I hear most often is "S/He has delusions of grandeur." Having delusions of grandeur, medically speaking, can be one of a group of symptoms associated with schizophrenia and maybe other disorders. Paranoia itself isn't a delusion of grandeur; they just often occur together, I think. I could be wrong. Maybe someone will pop by and correct me on that.

Both answers are equal acceptable.
I don't know to which I should give the ribbon.

First come, first served? I think you gave me a ribbon a couple of days ago. I'm good for now.

I agree. First come, first served.