From Steinhaus to Aziz-Mackenzie

The Prompt

Trace the history of envy-free division from Steinhaus, Banach, and Knaster in 1940s Poland through Selfridge and Conway to the Aziz-Mackenzie breakthrough of 2016. Explain what "envy-free" means, why it is harder for n players than for two, and what remains open. Cite at least three primary sources.

Completion Criteria

A short essay of three or four paragraphs, three citations with dates, and a clear statement of what is still unknown.

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