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Patience ensures fairness

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  • Florian Brandl
  • Andrew Mackenzie

Abstract

We revisit the problem of fairly allocating a sequence of time slots when agents may have different levels of patience (Mackenzie and Komornik, 2023). For each number of agents, we provide a lower threshold and an upper threshold on the level of patience such that (i) if each agent is at least as patient as the lower threshold, then there is a proportional allocation, and (ii) if each agent is at least as patient as the upper threshold and moreover has weak preference for earlier time slots, then there is an envy-free allocation. In both cases, the proof is constructive.

Suggested Citation

  • Florian Brandl & Andrew Mackenzie, 2023. "Patience ensures fairness," Papers 2311.06092, arXiv.org, revised Jan 2024.
    • Handle: RePEc:arx:papers:2311.06092
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    File URL: http://arxiv.org/pdf/2311.06092
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