2023/11/10 by Florian Brandl, Brandl, Florian, Andrew Mackenzie +1
Decision Sciences · Economics, Econometrics and Finance · #Decision-Making and Behavioral Economics #Economic theories and models #FOS: Economics and business #Game Theory and Voting Systems #Theoretical Economics (econ.TH)
paper · pdf · doi:10.48550/arxiv.2311.06092
openalex publication_date 2023/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.