Green and Yellow are for Vertical Deflection, Blue and Red for horizontal. Since Alpine Ski is a vertical game, and the "cocktail" switch fixed it, I'm assuming this is a vertical inversion problem. A vertical monitor is rotated 90deg, so you will actually need to flip the horizontal.
The yoke connector is 4 pins and keyed. You will be (carefully) cutting the connector between wires creating two halves, yellow-green and blue-red. Before you do, make a note of how they were installed, because after cutting you can reconnect them incorrectly. Once cut, put the Y-G back like it was, and flip the R-B pair. That's it.
Note: You can flip Y-G and R-B alone or together to fit any orientation. But don't swap Y-G with R-B as the impedances of those loops are different can cause monitor damage.