In Briata, Dall'Aglio and Fragnelli (2012), the authors introduce a coopera- tive game with transferable utility for allocating the gain of a collusion among completely risk-averse agents involved in the fair division procedure introduced by Knaster (1946). In this paper we analyze the Shapley value (Shapley, 1953) of the game and propose its use as a measure of the players' attitude towards collusion. Furthermore, we relate the sign of the Shapley value with the ranking order of the players' evaluation, and show that some players in a given ranking will always deter collusion. Finally, we characterize the coalitions that maximize the gain from collusion, and suggest an ad-hoc coalition formation mechanism.
|Titolo:||The Shapley Value in the Knaster Gain Game|
|Autori interni:||DALL'AGLIO, MARCO|
|Data di pubblicazione:||Being printed|
|Rivista:||ANNALS OF OPERATIONS RESEARCH|
|Appare nelle tipologie:||01.1 - Articolo su rivista (Article)|
File in questo prodotto:
|Shapgain_AnORr3.pdf||Articolo principale||Documento in Pre-print||DRM non definito||Administrator|