It is important that every individual’s conditions are given equal consideration, to ensure that no one fails to engage, out of fear or embarrassment. But it is equally important that options are reverse engineered by the group, not the individual who first suggested the possibility. There is no ownership of possibilities by individuals, lest the process derail. To help separate individuals from ideas, you could have an outside facilitator to guide the team through the process, drawing out contributions from quieter voices and attempting to capture all possibilities.
