"Consensus algorithm": A group of ten people need to decide which one flavor of ice cream they will all order, out of three options.

“Consensus algorithm”: A group of ten people need to decide which one flavor of ice cream they will all order, out of three options. The algorithm can question and re-question the participants, and present the answers to the participants, until a consensus is reached. This exercise is somewhat more open-ended. Add your assumptions if necessary. Obviously, this algorithm might never result in an answer. Deal with that too.