Patience ensures fairness
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913674680074240 |
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| author | Brandl, Florian Mackenzie, Andrew |
| author_facet | Brandl, Florian Mackenzie, Andrew |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_06092 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Patience ensures fairness Brandl, Florian Mackenzie, Andrew Theoretical Economics 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. |
| title | Patience ensures fairness |
| topic | Theoretical Economics |
| url | https://arxiv.org/abs/2311.06092 |