The scenario that I used (fluked) was the following:

Chair 1 = 1 block, Chair 2 = 2/3 of a block, Chair 3 = ¼ of a block. 6 students lined up.

Before we played, students recorded a response to the following question: ‘ If I was the first person in the line, which chair would I stand behind and why?’ It was great to see them thinking of future actions and how the fraction would be shared. The responses were hilarious, referred to fractions in the context of a part of a chocolate bar. We watched the first 5 people choose a chair, allowing for time to justify their decision and highlighting the amount each player received. We paused on the last person and students were asked to explain where they would go and why

This is where my fluke prompted some hilarious results. The students worked out that the last person held enormous power. They had 2 possibilities of received ¼ of a block of chocolate. One option meant the others would go from 1/3 to ¼ and the students were quick to refer to this as ‘sabotage’. If she went to the last chair she would receive ¼ as well. So why not bring the others down and leave the ¼ piece of chocolate? Most students avoided 2/3 divided by 3 and were quick to dismiss this one.