Whether you leave your lamp on or not usually depends on how long your down time is. Mine is only 10 to 15 minutes, so my automation controls motorized dowsers and my lamps are always on. Matter of fact, my lamp controls are manual... my automation isn't connected to them.
From watching a thread on this subject (over at "another discussion board"), many seem to feel that more than 20 minutes or so
is a good starting point. You're balancing the cost of electricity against roughly an hour's worth of light (also a subjective number) that you might lose by the additional strike.
SOME bulbs seem to be less prone to wandering, when treated this way. That seems to be how it worked at my place. I really didn't like turning off my lamps during the intermission between shows, but my older lamphouses had no way to close themselves when the projector was off, and 7,000 watts is a bit tough on shutters and douser blades!! Having the electric fire doors fixed all that, so we now turn our lamps on at the beginning of the night and leave them on until closing.
That problem could be in a couple of places, and 3 tech-types will probably suggest 3 different ideas.
Given the fact that temperature can change things in a power supply, I'd check to see what your no-load voltage is when the supply is hot. Since the igniter isn't even trying, it could be that your voltage is close to the line, even when cold. After that, you'd need to find out what triggers the igniter. Some have an adjustment for this, others use zener diodes, so the fix is a bit more complicated.
If you don't already know: The "no-load" voltage across the output terminals should be much higher than what you'll measure when the bulb is lit. You should see upwards of 90-120 volts or so. Make sure you've disabled the igniter before clipping across the power supply.
Is this a problem you've had for a long time, or someting that's just recently started to happen?