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.

The Shapley Value in the Knaster Gain Game / Briata, Federica; Dall'Aglio, Andrea; Dall'Aglio, Marco; Fragnelli, Vito. - In: ANNALS OF OPERATIONS RESEARCH. - ISSN 0254-5330. - 259:1(2017), pp. 1--19. [10.1007/s10479-017-2651-8]

The Shapley Value in the Knaster Gain Game

DALL'AGLIO, MARCO
;
2017

Abstract

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.
2017
Shapley value, Knaster procedure, Collusion
The Shapley Value in the Knaster Gain Game / Briata, Federica; Dall'Aglio, Andrea; Dall'Aglio, Marco; Fragnelli, Vito. - In: ANNALS OF OPERATIONS RESEARCH. - ISSN 0254-5330. - 259:1(2017), pp. 1--19. [10.1007/s10479-017-2651-8]
File in questo prodotto:
File Dimensione Formato  
Shapgain_AnORr3_20170831M.pdf

Open Access dal 02/01/2019

Descrizione: Articolo principale in versione postprint
Tipologia: Documento in Post-print
Licenza: DRM (Digital rights management) non definiti
Dimensione 321.94 kB
Formato Adobe PDF
321.94 kB Adobe PDF Visualizza/Apri
Briata2017_Article_TheShapleyValueInTheKnasterGai.pdf

Solo gestori archivio

Tipologia: Versione dell'editore
Licenza: DRM (Digital rights management) non definiti
Dimensione 479.23 kB
Formato Adobe PDF
479.23 kB Adobe PDF   Visualizza/Apri
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11385/175505
Citazioni
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 2
social impact