Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/330043 
Year of Publication: 
2023
Citation: 
[Journal:] Games [ISSN:] 2073-4336 [Volume:] 14 [Issue:] 3 [Article No.:] 50 [Year:] 2023 [Pages:] 1-10
Publisher: 
MDPI, Basel
Abstract: 
Interval games are an extension of cooperative coalitional games, in which players are assumed to face payoff uncertainty. Characteristic functions thus assign a closed interval instead of a real number. This study revisits two interval game versions of Shapley values (i.e., the interval Shapley value and the interval Shapley-like value) and characterizes them using an axiomatic approach. For the interval Shapley value, we show that the existing axiomatization can be generalized to a wider subclass of interval games called size monotonic games. For the interval Shapley-like value, we show that a standard axiomatization using Young's strong monotonicity holds on the whole class of interval games.
Subjects: 
cooperative interval games
interval uncertainty
Shapley value
axiomatization
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by Logo
Document Type: 
Article
Appears in Collections:

Files in This Item:
File
Size





Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.