What is negative marking? When examining students via standard multiple-choice questions (MCQs), it is possible to award a negative mark for a question attempted and wrongly answered. "Neutral" negative marking will use a negative mark such that where a student answers questions at random, they will on average get 0 marks for these questions. So if each question has 4 options, and 1 mark for each correct answer, then -1/3 for each wrong answer => 0 on average for randomly answered questions.
Sometimes examiners use "punitive" negative marking (where answering at random would on average get a cumulative negative mark), or "benign" negative marking with the reverse effect. Or none at all, which encourages students to answer all questions even where they are clueless.

As far as I'm concerned, there should always be negative marking, and it should always be "neutral".
Now here's the thing: Apparently, negative marking has fallen completely out of favour in some places because it "penalises" boys, who are less risk-averse than girls. I say "apparently" because all I've come across is some off-hand references in a discussion thread on an Irish forum, but no concrete leads - yet.
Yes, males are on average greater risk-takers than females, but would that justify warping the examination system to such a degree? And where on earth would it end?