The game most commonly played, where the King ( Konungr ) has to be surrounded by four enemy hunns to be taken (Unless he is trapped against the board edges.) but can be part of a pair that takes an attacking hunn, does lead to a slight inbalance favouring the Konungr's men. ( We call that "Cnut Rules".)
We play another version which we refer to as "Æthelred Rules" where the king still has to be surrounded by four but is not counted as a taking piece. This produces a more balanced game usually although we sometimes give that balance away in favour of a novice player.