Any Atari game out there, I personally do nothing until I check if "Big Blue" is performing well. You can test its capacitance with the right voltmeter. At the end of the day though, if that thing is stock from '83 and has never been changed, it's time to change it regardless.
I've had monitor issues on Centipede, errors in Pole Position, etc. and a lot of the time, changing Big Blue on the power brick solved the problems. It's responsible for a LOT of stuff in Golden Age Atari games.
Utilized in just about all Atari classic games.
www.arcadeshop.com
27,000 uf 25V Atari "Big Blue" capacitor. These replace the OEM 26,000uf 15v to 28,000uf 15v that the games originally came with. Used in Williams Pinball Games and Atari video games. Atari Big Blue Capacitors are used on Atari power supplies.
www.arcadepartsandrepair.com
I'll typically get them from either of the above when needed for any Atari games I pick up or to change original ones from the 80's.
I'm not saying it's your issue or even part of your issue, but I think it's a must no matter what for increased reliability. Those above have recommended what you need to do about checking voltages. Power and its flow across PCB components is everything and even the slightest problem can screw with your performance.