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Fairness for Multi-Self Agents

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  • Sophie Bade
  • Erel Segal-Halevi

Abstract

We investigate whether fairness is compatible with efficiency in economies with multi-self agents, who may not be able to integrate their multiple objectives into a single complete and transitive ranking. We adapt envy-freeness, egalitarian-equivalence and the fair-share guarantee in two different ways. An allocation is unambiguously-fair if it satisfies the chosen criterion of fairness according to every objective of any agent; it is aggregate-fair if it satisfies the criterion for some aggregation of each agent's objectives. While efficiency is always compatible with the unambiguous fair-share guarantee, it is incompatible with unambiguous envy-freeness in economics with at least three agents. Two agents are enough for efficiency and unambiguous egalitarian-equivalence to clash. Efficiency and the unambiguous fair-share guarantee can be attained together with aggregate envy-freeness, or aggregate egalitarian-equivalence.

Suggested Citation

  • Sophie Bade & Erel Segal-Halevi, 2018. "Fairness for Multi-Self Agents," Papers 1811.06684, arXiv.org, revised Apr 2022.
    • Handle: RePEc:arx:papers:1811.06684
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    References listed on IDEAS

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    Cited by:

    1. Erel Segal-Halevi & Shmuel Nitzan, 2019. "Fair cake-cutting among families," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(4), pages 709-740, December.

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