Hi Kmerov!
A regency council was decided by a parliament of nobles and prelates shortly after Alexander's death. It comprised six "governors" - four noblemen and two bishops Glasgow and St Andrews. It wasn't a very satisfactory arrangement as these men didn't cooperate.
However the arrangement survived (minus two governors who died) until 1290 when the Maid died.
At this point Edward I saw fit to nominate her successor. He chose John Balliol.
A similar regency council was set up (at first) for Mary Queen of Scots.
Hope you didn't object to all the Norwegian jokes by the way, am I right in thinking that you are danish?