A Lower Bound for Equitable Cake Cutting

@inproceedings{Procaccia2017ALB,
  title={A Lower Bound for Equitable Cake Cutting},
  author={Ariel D. Procaccia and Junxing Wang},
  booktitle={EC},
  year={2017}
}
We are interested in the problem of dividing a cake -- a heterogeneous divisible good -- among n players, in a way that is ε-equitable: every pair of players must have the same value for their own allocated pieces, up to a difference of at most ε. It is known that such allocations can be computed using O(n ln(1/ε)) operations in the standard Robertson-Webb Model. We establish a lower bound of Ω(ln(1/ε)/lnln(1/ε)) on the complexity of this problem, which is almost tight for a constant number of… CONTINUE READING

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