I certainly always assumed so myself. I don't think the rulebook discusses it because it's a question of terrain, and the rule for terrain tends to be "do whatever you want". But it makes sense to have a default principle for using the official game mat.
I guess there are only three options when it comes to "edge of the map".
1. There is no edge or it isn't relevant - play on a large unbounded area and/or never reach the edges. 2. The edge is a line that you can't move across, but it doesn't give you fatigue to be pushed into it. 3. The edge is treated like a wall, i.e. a hazard, so you get fatigue from being pushed into it. Or, like Ridiqles mentions, it could be a wounding hazard (it's a spiky wall), or a lethal hazard (it's a drop in elevation).
I think 3 makes more sense than 2 in the case of the official playmat, since it looks like a solid arena wall, and since a solid wall placed inside the arena would usually be considered a hazard.
For a different kind of play area, I guess 2 would make sense if you imagine that the edge of the play area isn't a solid wall, but is rather a mass of spectators. Then you could argue that they stop you from running away, but don't cause fatigue.
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