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Fairness and Fairness for Neighbors: The Difference between the Myerson Value and Component-Wise Egalitarian Solutions

Sylvain Béal, Eric Rémila and Philippe Solal

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Abstract: We replace the axiom of fairness used in the characterization of the Myerson value (Myerson, 1977) by fairness for neighbors in order to characterize the component-wise egalitarian solution. When a link is broken, fairness states that the two players incident to the link should be affected similarly while fairness for neighbors states that a player incident to the link and any of his other neighbors should be affected similarly. Fairness for neighbors is also used to characterize the component-wise egalitarian surplus solution and a two-step egalitarian surplus solution. These results highlight that egalitarian and marginalistic allocation rules can be obtained by applying the same equal gain/loss property to different types of player

Keywords: Myerson value; component-wise egalitarian solutions; fairness; fairness for neighbors; two-step value (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (14)

Published in Economics Letters, 2012, 117 (1), pp.263-267. ⟨10.1016/j.econlet.2012.05.020⟩

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Journal Article: Fairness and fairness for neighbors: The difference between the Myerson value and component-wise egalitarian solutions (2012) Downloads
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-00699641

DOI: 10.1016/j.econlet.2012.05.020

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