[river_tilt]

If there is no free will, does it mean that there is an algorithm that will predict all future actions?

Such an algorithm will hit an enormous number of problems. Roger Penrose considers a similar question in a number of his books (e.g. The Emporer's New Mind.) He restricts himself to the question of whether a computer can be programmed to do useful mathematics.

His conclusion stems for Godel's incompleteness theorems. He thinks computers cannot do meaningful maths, whereas humans can.

So humans do have free will.