The Barbanel-Brams moving-knives procedure is a method used in fair division, particularly in the context of dividing a continuous resource among multiple participants. This procedure is designed to ensure that each participant receives a fair share of the resource according to their subjective valuations. Here's a simplified overview of how it works: 1. **Participants and Resource**: Assume there are \( n \) participants and a continuous resource (like a cake or an interval on a line) that they want to divide among themselves.
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