I want to know what projection is used in the following game:
The game is Goodgame Empire.
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This is orthographic projection plain and simple. You can see this by the fact that all lines, especially the horizontal ones are perfectly parallel.
The comments are correct, this is isometric projection, which is a special case of the orthographic projection.
The diamonds of the grid measure 23 by 45. If this were isometric projection, they would be in ratio 1:sqrt(3). (That is 35.264… degrees above horizontal, not 45 as Nathan Reed suggested.) By taking arcsin(23/45), we find that this projection is 30.737… degrees above horizontal.