IIRC for some game theories applied to markets, market players are those with share >=25%, market leaders with >=40%, monopolists with >=71%, there was an article in an issue of IEEE's Computer gazette more than 10 years ago, I can't find it anymore, so don't ask me more, ...
There were also warnings about it: a monopoly is solid if the market has limited resources, while an expanding market and/or a bigger external new market marginalizing the older may shatter existing monopolies incorrectly taken for granted (that's why MS is so worried about linux adoption in new markets and twists and changes towards unforeseen directions to IT market previously attempted by, for example, Sun and Netscape, but failed or largely scaled down, while now Google is trying the same with much more determination, knowledge of past challengers' errors and an uncanny ability to catch MS off guard with new moves).
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