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

Sylvain Béal (), Eric Rémila () and Philippe Solal ()
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Eric Rémila: Université de Saint-Etienne
Philippe Solal: Université de Saint-Etienne

Annals of Operations Research, 2017, vol. 253, issue 1, 43-59

Abstract: 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.

Keywords: Bidding approach; ‘Take-it-or-leave-it’ procedure; Implementation; Rooted tree TU-games; Sequential equal surplus division (search for similar items in EconPapers)
Date: 2017
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