Name
Title | ||
|---|---|---|
A strategic implementation of the sequential equal surplus division rule for digraph cooperative games. |
Abstract | ||
|---|---|---|
We provide a strategic implementation of the sequential equal surplus division rule (Béal et al. in Theory Decis 79:251–283, ). 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, ), 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. |
Year | DOI | Venue |
|---|---|---|
2017 | https://doi.org/10.1007/s10479-016-2290-5 | Annals OR |
Keywords | Field | DocType |
Bidding approach,‘Take-it-or-leave-it’ procedure,Implementation,Rooted tree TU-games,Sequential equal surplus division | Superadditivity,Mathematical optimization,Mathematical economics,Dominance relation,Divisibility rule,Subgame perfect equilibrium,Mathematical proof,Bidding,Digraph,Mathematics | Journal |
Volume | Issue | ISSN |
253 | 1 | 0254-5330 |
Citations | PageRank | References |
1 | 0.37 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sylvain Béal | 1 | 70 | 12.23 |
| Eric Rémila | 2 | 329 | 45.22 |
| Philippe Solal | 3 | 79 | 14.55 |