A term for a stupid competition, usually where
one thinks has it better than the other
one.
The origin of the expression is from the French "Guerre
de pénis", where guys would actually compare their dicks to eachother, usually
one saying
one has a bigger one than the other. It could also be of Roman origin, when it used to be an honor pissing alongside with someone of higher authority.
Usually dick heads are engaged in penis wars. Real men don't even engage in such stupid arguments.