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The Bedrock of Fairness

A possible mathematical rule for fairness in this situation.
1. Select who gets to cut the pie into three pieces by a random process.
2. That individual can cut it into any size sections he chooses along as there are three sections.
3. The order of choice selection again is determined by a random process.
Result: on average everyone receives 1/3 share.

Fairness=underlying intuitive mathematical rules. QED