As a gamer myself, I simply didn't buy the children a console. I wanted them to have a childhood filled with other things, and then perhaps later, once skills like reading and building Lego and playing outside were firmly established, introduce gaming as a side-hobby, a minor interest, and not something all-consuming.
My reasons are personal. My parents did not want me to have friends or to play out in case I 'got into trouble', I was forbidden to have friends round or to go to their houses, I was not allowed to go to their houses nor they to mine. They bought me a console because they openly wanted me sat indoors doing nothing else. "Safe."
It was a hard habit to break.
So my kids might get to have a go at a simple child's game on the tablet, or poke at a phone game on the bus, but no, no hardcore proper gaming until... well, I don't know. Not yet.
Truth is, when you're a kid, you feel lonely and awkward and games really do offer 'a better life' than reality. Everyone's your friend, you don't have to worry about physical attractiveness and it isn't raining. You can easily learn a skill, display it and be praised. Hard work is instantly translated into reward. You are admired. You are accepted. It is honestly just so much BETTER than reality. Hells, these days I wish I could just sink back into a gaming world and ignore all that's going on around me. To have my free brainspace occupied by gaming strategy means I wouldn't have to worry about politics :D
So... yeah, sorry, solution is don't buy them a console.
Second solution is start to withdraw it. Only at weekends, for example.