Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/286896 
Authors: 
Year of Publication: 
2021
Citation: 
[Journal:] Theory and Decision [ISSN:] 1573-7187 [Volume:] 93 [Issue:] 1 [Publisher:] Springer US [Place:] New York, NY [Year:] 2021 [Pages:] 105-130
Publisher: 
Springer US, New York, NY
Abstract: 
We introduce a new class of values for TU-games (games with transferable utility) with a level structure, called LS-games. A level structure is a hierarchical structure where each level corresponds to a partition of the player set, which becomes increasingly coarse from the trivial partition containing only singletons to the partition containing only the grand coalition. The new values, called Harsanyi support levels solutions, extend the Harsanyi solutions for LS-games. As an important subset of the class of these values, we present the class of weighted Shapley support levels values as a further result. The values from this class extend the weighted Shapley values for LS-games and contain the Shapley levels value as a special case. Axiomatizations of the studied classes are provided.
Subjects: 
Cooperative game
Level structure
(Weighted) Shapley (levels) value
Harsanyi set
Dividends
Persistent Identifier of the first edition: 
Creative Commons License: 
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Document Type: 
Article
Document Version: 
Published Version

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