Stable partitions for proportional generalized claims problems

Details

Serval ID
serval:BIB_F3443A7854F6
Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
Stable partitions for proportional generalized claims problems
Journal
Games and Economic Behavior
Author(s)
Gallo Oihane, Klaus Bettina
ISSN
0899-8256
Publication state
Published
Issued date
09/2024
Peer-reviewed
Oui
Volume
147
Pages
485-516
Language
english
Abstract
We consider a set of agents who have claims on an endowment that is not large enough to cover all claims. Agents can form coalitions but a minimal coalition size θ is required to have positive coalitional funding that is proportional to the sum of the claims of its members. We analyze the structure of stable partitions when coalition members use well-behaved rules to allocate coalitional endowments, e.g., the well-known constrained equal awards rule (CEA) or the constrained equal losses rule (CEL). For continuous, (strictly) resource monotonic, and consistent rules, stable partitions with (mostly) θ-size coalitions emerge. For CEA and CEL we provide algorithms to construct such a stable partition formed by (mostly) θ-size coalitions.
Open Access
Yes
Funding(s)
Swiss National Science Foundation / 100018_192583
European Commission
European Research Council (ERC)
Create date
09/09/2024 17:24
Last modification date
10/09/2024 7:17
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