Deviation from proportionality and Lorenz-domination for claims problems

Miguel Ángel Mirás Calvo, Iago Núñez Lugilde, Carmen Quinteiro Sandomingo and Estela Sánchez-Rodríguez ()
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Miguel Ángel Mirás Calvo: Universidade de Vigo
Iago Núñez Lugilde: Universidade de Vigo
Carmen Quinteiro Sandomingo: Universidade de Vigo
Estela Sánchez-Rodríguez: Universidade de Vigo

Review of Economic Design, 2023, vol. 27, issue 2, No 8, 439-467

Abstract: Abstract The Lorenz order is commonly used to compare rules for claims problems. In this paper, we incorporate the average of awards rule, the mean value of the set of awards vectors for a claims problem, to the ranking of the standard rules by proving some properties that are satisfied by this rule. We define a pair of coefficients, inspired by the Gini index, aimed at measuring, for any given claims problem, the discrepancy between the awards assigned by a rule and the proportional division. We generalize the proportionality deviation indices by introducing coefficients that measure the deviation between the awards selected by any two division rules. We show how these deviation indices are related to the Lorenz order.

Keywords: Claims problems; Division rules; Average of awards rule; Lorenz-domination; Proportionality deviation indices; Generalized deviation indices (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10058-022-00300-y

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