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Equal-Quantile Rules In Resource Allocation With Uncertain Needs, Yan Long, Jay Sethuraman, Jingyi Xue

Research Collection School Of Economics

A group of agents have uncertain needs on a resource, and the resource has to be divided before uncertainty resolves. We propose a class of division rules we call equal-quantile rules, parameterized by λ ∈ (0, 1]. The parameter λ is a common maximal probability of satisfaction — the probability that an agent’s realized need is no more than his assignment — imposed on all agents. Thus, the maximal assignment of each agent is his λ-quantile assignment. If the endowment of the resource exceeds the sum of the agents’ λ-quantile assignments, each agent receives his λ-quantile assignment and the resource …