The sequential equal surplus division for rooted forest games and an application to sharing a river with bifurcations

Sylvain Béal, Amandine Ghintran, Eric Rémila and Philippe Solal

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Abstract: We introduce a new allocation rule, called the sequential equal surplus division for rooted forest TU-games. We provide two axiomatic characterizations for this allocation rule. The first one uses the classical property of component efficiency plus an edge deletion property. The second characterization uses standardness, an edge deletion property applied to specific rooted trees, a consistency property, and an amalgamation property. We also provide an extension of the sequential equal surplus division applied to the problem of sharing a river with bifurcations.

Keywords: Sequential equal surplus division; Consistency; Fairness; Rooted forest; Amalgamation; Water allocation (search for similar items in EconPapers)
Date: 2014
New Economics Papers: this item is included in nep-env and nep-gth
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-01098766v1
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Citations: View citations in EconPapers (2)

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Related works:
Journal Article: The sequential equal surplus division for rooted forest games and an application to sharing a river with bifurcations (2015)
Working Paper: The sequential equal surplus division for rooted forest games and an application to sharing a river with bifurcations (2015)
Working Paper: The Sequential Equal Surplus Division for Rooted Forest Games and an Application to Sharing a River with Bifurcations (2014)
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