The first question you should ask if the publisher registered a Trade mark for the game. The second question should be do you have a product or company[not a empyless one] with that name registered?
If you contact the owner directly with a proposition to buy it, they may agree or disagree. However if somebody approached me with it i'd dropkick em to the curb and throw a court summons at them. Why should i pay someone else for registering a name quicker then me? Almost zero effort for 3 or 4 digits worth of money. Domain flipping in this manner is frowned upon and legally not accepted.
Claiming a domain name just because you can doesn't mean you own it rights to it off the bat. If all you do is sit on the domain and it does nothing you have no rights to it when somebody with a company, product or plan with that exact name. They can't take it from you easily, but a simple international filing of a civil court will force your hand easily. "Give the domain to us before the date of X or we expect to see you in court on date X" are always fun. Not to mention lawyer fees and fines that loom over your head.
If there is a trademark registered, (does not matter wich country or continent) they have ownership rights and can claim it easily. If the domain is basicly parked and the game publisher wants it prepare to get a civil suit filed against you. Some will sue you and not even bother contacting you so be warned.
Even if no trademark is present, proving to a judge that they have spend upwards of hundreds of thousands of dollars on the products of a game for the last ??? 2/3/5+ years while the only thing you did was register it and park it. The ruling of the judge will not take long.
Same reason you can not have amazon or ebay in your domain name. Trademarks.