On the Complexity of Chore Division

Alireza Farhadi, MohammadTaghi Hajiaghayi

Proceedings of the Twenty-Seventh International Joint Conference on Artificial Intelligence

Main track. Pages 226-232.

https://doi.org/10.24963/ijcai.2018/31

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Abstract

We study the proportional chore division problem where a protocol wants to divide an undesirable object, called chore, among n different players. This problem is the dual variant of the cake cutting problem in which we want to allocate a desirable object. In this paper, we show that chore division and cake cutting problems are closely related to each other and provide a tight lower bound for proportional chore division.

Keywords

  • Agent-based and Multi-agent Systems: Noncooperative Games
  • Agent-based and Multi-agent Systems: Algorithmic Game Theory
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