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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

MPRA Paper from University Library of Munich, Germany

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 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 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 players.

Keywords: Myerson value; component-wise egalitarian solutions; fairness; fairness for neighbors; two-step value (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Date: 2012-02-22
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Related works:
Journal Article: Fairness and fairness for neighbors: The difference between the Myerson value and component-wise egalitarian solutions (2012) Downloads
Working Paper: Fairness and Fairness for Neighbors: The Difference between the Myerson Value and Component-Wise Egalitarian Solutions (2012)
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