I have checked and this may be called Top-Down (Oblique) from the wikipedia page of Axonometric projection BUT the image I am looking for kinda have that trapezoidal nature. As you can see the grids aren't necessarily straight. Any clues?
The image seems to contain three different perspectives:
The tiles (magenta) are drawn using two-point perspective. The x-axis is parallel to the picture plane while the lines parallel to the y-axis converge to vanishing point A (backwards) and the lines parallel to the z-axis converge to vanishing point B (downwards).
The characters (cyan) doesn't really have perspective. They are just flat sprites seen from the side. The rear character seems to bee a little bit smaller than the others, so there might be some scaling going on. In lack of a better term I would call it two and a half dimensional or 2.5D.
The background (orange) is drawn using a classic two-point perspective with the two vanishing points, C and D, placed on the horizon.
This style of graphics might have a proper name in the (japanese?) gaming industry, but I'm not aware of it.
I don't think there is a special mathematical logic behind it. It's really just a collage of images, cleverly placed and sized in an attempt to give a three-dimensional illusion.
Wikipedia on perspective.
Wikipedia on 2.5D.
Its not in the family of axonometric projections. So it is either in the family of perspective, some random projection or it is not a projection at all.
I would just call it a perspective grid. This is also by the way why a image is worth more than a thousand words as there really is no name for half of what you see. Only a rather leg thy and misinterpretation prone description.