Comparable Axiomatizations of the Myerson Value, the Restricted Banzhaf Value, Hierarchical Outcomes and the Average Tree Solution for Cycle-Free Graph Restricted Games

Arbeitspapier

We consider cooperative transferable utility games, or simply TU-games, with a limited communication structure in which players can cooperate if and only if they are connected in the communication graph. A difference between the restricted Banzhaf value and the Myerson value (i.e. the Shapley value of the restricted game) is that the restricted Banzhaf value satisfies collusion neutrality, while the Myerson value satisfies component efficiency. Requiring both efficiency and collusion neutrality for cycle-free graph games yields other solutions such as the hierarchical outcomes and the average tree solution. Since these solutions also satisfy the superfluous player property, this also `solves' an impossibility for TU-games since there is no solution for these games that satisfies efficiency, collusion neutrality and the null player property. We give axiomatizations of the restricted Banzhaf value, the hierarchical outcomes and the average tree solution that are comparable with axiomatizations of the Myerson value in case the communication graph is cycle-free. Finally, we generalize these solutions to classes of solutions for cycle-free graph games using network power measures.

Angaben zum Objekt

• Sprache: Englisch

Verweise und Beziehungen

• Erschienen in: Series: Tinbergen Institute Discussion Paper ; No. 09-108/1

Klassifikation und Themen

• Klassifikation: Wirtschaft ; Cooperative Games
• Thema: Cooperative TU-game ; communication structure ; Myerson value ; Shapley value ; Banzhaf value ; hierarchical outcome ; average tree solution ; component efficiency ; collusion neutrality. ; Transferable Utility Games ; Shapley-Wert ; Theorie

Beteiligte, Orts- und Zeitangaben

• Ereignis: Geistige Schöpfung
• (wer): van den Brink, René
• Ereignis: Veröffentlichung
• (wer): Tinbergen Institute
• (wo): Amsterdam and Rotterdam
• (wann): 2009

Weitere Informationen

• Handle: http://hdl.handle.net/10419/86772
• Letzte Aktualisierung: 20.09.2024, 08:25 MESZ