Doodle: everyone has voted, but is the meeting booked?

A community theater needs to schedule two volunteer rehearsals for eight people, ideally with the same people at both. The organizer used to count every “yes” in the group chat. In practice, the people who could swap shifts always made the concession. The theater wants to know which times work well and which people could just about manage. Volunteers do not want to disclose the reasons for a shift swap or a family care commitment. The venue can be booked for only one evening each week. The first week must be booked by 6 p.m. today. The second can wait two more days.

1. Design how volunteers express their preferences and how the organizer settles both weeks. Deliver a proposal the two sides could use. What can each person submit or see, when, who decides, and what will others see about their answers? Name one goal worth making a sacrifice for and explain your choice.
2. For week one, six people are comfortable with Tuesday and two can just manage it. Five are comfortable with Thursday and three can just manage it. The two who would swap shifts for Tuesday also did so last week. The three who would swap for Thursday are different people, none of whom swapped in the past four weeks. You can privately check who made concessions before; other volunteers can see only their own history. It is 5:30 p.m. Walk through your rules. What can be settled by 6, what will each person hear, and what can still change for week two? Pick one observable outcome after four weeks that would tell you whether concessions are being shared more fairly.