a;though reverse that lighting maybe use the MH during last few weeks of flower, but other than that HPS for flower MH for veg or hell even HPS all they way through. (you could do MH all the way thru but HPS will have a bigger yield in flower)
Induction lights are not much more than a fluorescent lamp, check the spectrum charts and you will see. They were originally designed, and still used, in factories and other areas where access to maintain the bulbs is very difficult, reason being that the induction lamp does not have a filament that wears out like a standard fluorscent or an arc tube that wears out like an HPS or MH bulb. But for home grows, you do not need a bulb that lasts 100,000 hours, nor do you need to pay $700 and up for an industrial light that isn't really even designed for a garden. You can use either MH or HPS all the way through your grows, but most will use an MH in veg growth and then switch to HPS in flower.
MH has more purple and blues for veg while HPS have more reds oranges n yellows for flower. Both have enough to work all the way through but we're shooting for best results so MH for veg HPS for flower