you need to prove where your fault lie's,is it monitor?,is it game board? or is it power supply?
when i have faults like this i do the following;
1-check to see if the game plays blind(sound)
2-if plays blind o.k then turn up the screens volts adjustment on the flyback transformer,if you get a blank raster then its a problem with the video input signal from the gameboard(possibly broken wire/bad solder joint/bad connector,bad game board or blanking problem on the monitor)
if you get no screen at all then check for bad solder joints around the monitor chassis/cap kit/other monitor problems like the h.o.t or flyback
3-if game sounds don't happen then check the psu voltages are correct +5/+12/-5
4-if the voltages are fine then find a different game board to test
5-if a different game board works fine then check i/c sockets/plugs/connectors on the old gameboard