Since the land could not support the herds of both tribes, they had to split up. Abraham let Lot choose the land he wanted and he choose the plain of Jordan, considered the best. Abraham graciously accepted what was left. Being free of envy is not the only consideration when sharing something. What happens when more than two cuts can be made, or when people prefer different, specific sections of whatever is to be divided? Barbanel and Brams believe that with a giveback procedure it is possible to make a perfect division between two people that is efficient, equitable and void of jealousy.
The researchers believe the method can be used to share cake and other divisible goods such as land. In the case of beachfront property being coowned by two developers, for example, it can help to determine who gets what strips of land to build on based on the pieces of land they value most. "This allocation is not only equitable but also envyfree and efficient – that is, perfect," says Barbanel. Source: TwoPerson Cake Cutting: The Optimal Number of Cuts by Barbanel, J.B. & Brams, S.J..The Mathematical Intelligencer. 
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