You clearly don't grasp the concept of what it is to play a game. Therefore, I have provided a definition below that explains what game playing means. The free dictionary defines game playing as:

A competitive activity or sport in which players contend with each other according to a set of rules:

http://www.thefreedictionary.com/play+game

However, that's not the definition being used when HMs are accused of game-playing.

See here, for example: http://dictionary.cambridge.org/dict...ish/play-games