Yep, Elldar made the point.
I know that this game is a fantasy one, yet two-weapons fighting is such an abused option that I would prefer NOT to see it here.
For the records, using two longswords to fight is something that required a lot of practice and coordination and there are very few historical records about that, so there was some person who did, but that did happen mostly in civilian fights (every day life where you had to defend against brigands or an attack in a city). In those circumstances, swords where excellent weapons to carry around because they are not as cumbersome as axes or polearms as spears, so it was possible to carry even 2 at once. But just image swinging blows with 2 longswords or 2 rapiers: you risk to hit your own weapon in the process and overall maneuverability is reduced.
Also, it is not possible to fight effectively with any kind of weapon, such as axes and maces: they are heavy, they affect your balance so you can do that only with light weapons and again it is barely effective only in a civilian fight.
It was more typical to wear a dagger or a short blade used as Elldar has described already, but wearing a shield or a two-handed sword is actually much more effective.
Remember that medieval weapons where like the old scissor-paper-rock game: nothing absolutely better than something else, but mostly based on the context and who you have to fight.