Fairness and efficiency for probabilistic allocations with participation constraints

Federico Echenique, Antonio Miralles and Jun Zhang

Papers from arXiv.org

Abstract: We propose a notion of fairness for allocation problems in which different agents may have different reservation utilities, stemming from different outside options, or property rights. Fairness is usually understood as the absence of envy, but this can be incompatible with reservation utilities. It is possible that Alice's envy of Bob's assignment cannot be remedied without violating Bob's participation constraint. Instead, we seek to rule out {\em justified envy}, defined as envy for which a remedy would not violate any agent's participation constraint. We show that fairness, meaning the absence of justified envy, can be achieved together with efficiency and individual rationality. We introduce a competitive equilibrium approach with price-dependent incomes obtaining the desired properties.

Date: 2019-08, Revised 2020-05
New Economics Papers: this item is included in nep-des and nep-mic
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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1908.04336

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