You're really dating yourself if you are still into that book from the 1960's; I remember when it was new
I don't think people can play games by themselves and to have a "partner" you have to get their cooperation and willingness to play? If you mean are people coming here to be parented or have an ego stronger than theirs boss them around or if they are an ego who likes to boss, etc., I'm sure there are even a great many ways more than Bernes' we could characterize ourselves and others but very few that would be useful to us?