A strategic implementation of the sequential equal surplus division rule for digraph cooperative games

A strategic implementation of the sequential equal surplus division rule for digraph cooperative games

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Article ID: iaor20171857
Volume: 253
Issue: 1
Start Page Number: 43
End Page Number: 59
Publication Date: Jun 2017
Journal: Annals of Operations Research
Authors: , ,
Keywords: optimization, simulation
Abstract:

We provide a strategic implementation of the sequential equal surplus division rule (Béal et al. in Theory Decis 79:251–283, 2015). Precisely, we design a non‐cooperative mechanism of which the unique subgame perfect equilibrium payoffs correspond to the sequential equal surplus division outcome of a superadditive rooted tree TU‐game. This mechanism borrowed from the bidding mechanism designed by Pérez‐Castrillo and Wettstein (J Econ Theory 100:274–294, 2001), but takes into account the direction of the edges connecting any two players in the rooted tree, which reflects some dominance relation between them. Our proofs rely on interesting properties that we provide for a general class of bidding mechanisms.

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