Achieving Envy-freeness and Equitability with Monetary Transfers

Author:

Aziz Haris

Abstract

When allocating indivisible resources or tasks, an envy-free allocation or equitable allocation may not exist. We present a sufficient condition and an algorithm to achieve envy-freeness and equitability when monetary transfers are allowed. The approach works for any agent valuation functions (positive or negative) as long as they satisfy superadditivity. For the case of additive utilities, we present a characterization of allocations that can simultaneously be made equitable and envy-free via payments. Our study shows that superadditive valuations constitute the largest class of valuations for which an envy-free and equitable outcome exists for all instances. We then present a distributed algorithm to compute an approximately envy-free outcome for any class of valuations.

Publisher

Association for the Advancement of Artificial Intelligence (AAAI)

Subject

General Medicine

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Multivariate algorithmics for eliminating envy by donating goods;Autonomous Agents and Multi-Agent Systems;2024-09-09

2. One Quarter Each (on Average) Ensures Proportionality;Web and Internet Economics;2023-12-31

3. Fair and Truthful Mechanism with Limited Subsidy;SSRN Electronic Journal;2022

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