Arguments for each:
Sony: PS4 has the most sold units of currently available systems; PS5 is fastest selling console in first 5 months; highest reported software sales and attach rate; #1 in gaming revenue
Nintendo: Fastest selling console ever after 4 years; #1 in first party software sales; 2020 Switch sales were the highest of any console ever; #1 in gaming profit
Microsoft: Game Pass is the most popular subscription and cloud service; they own the best selling game ever
This is about the market, not software quality.
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the company selling the largest quantity of a particular type of product.
"we have emerged as the clear market leader in the pet retail trade"
a product which outsells its competitors.
"the company made its disposable razor the market leader"