illuminates a fact that most of us are probably aware of, but rarely consider as a social phenomenon: that in a brainstorming session (or, one might argue, in a collaborative storytelling session), early speakers gain a significant advantage in having their ideas "anchored" and accepted as fundamental to the group idea, just as frequent speakers do in freeform group conversations. "Early ideas tend to have disproportionate influence over the rest of the conversation," [says] Loran Nordgren, a professor at the Kellogg School. "They establish the kinds of norms, or cement the idea of what are appropriate examples or potential solutions for the problem."
Certainly there are many game situations in which turn order is intended to grant exactly that privilege, with later ideas following upon and building off of earlier ones. The step-by-step formation of time-bound narratives is one such area. But in other situations - when open, spontaneous and egalitarian idea generation is the intention - this "anchoring" of early ideas may cause undesired effects.
The solution put forward in the article is called "Brainwriting", in which participants silently write down their ideas before collecting and revealing them all at once. This technique gives everyone at the table an equal chance to have their idea accepted on its own merit, rather than how well it fits in with things already said. Depending on the intended nature and flow of idea-generation used in your collaborative game, you may want to consider giving brainwriting a try.