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Committee-Structured Games in a Cooperative Framework

Bibliographic Data

ID21584993
AuthorsParishmita Boruah (0000-0001-5082-0232, Dibrugarh University), Surajit Borkotokey (0000-0001-8447-4403, Corvinus University of Budapest, corresponding author), Rajnish Kumar (0000-0003-3337-6576, Queen's University Belfast)
Year2026
Volume35
Issue1
Publication date2026-03-01
Open AccessYes
TypeARTICLE
VenueGroup Decision and Negotiation (JOURNAL)
Journal identifiersISSN: 0926-2644 • E-ISSN: 1572-9907
PublisherSpringer Science and Business Media LLC (PUBLISHER)
DOI10.1007/s10726-025-09961-w
OpenAlexW7124870900
LanguageEN
References cited16

We introduce the notion of committee-structured games (CSG) in a cooperative framework to analyze situations where committees affect players in generating their coalitional values. We represent the sets of committees by hypergraphs and obtain values as a function of both coalitions and hypergraphs. Based on how committee structures affect value generation, we present two models within the CSG framework. In the first model, the total value is generated by the committee set as a whole, while in the second model, it is obtained by aggregating contributions from all subsets of the set of committees. Accordingly, we define the Shapley value for the first model and the Aggregated Shapley value for the second, providing axiomatic characterizations for both. Further, we propose bidding mechanisms to show that the Shapley value and the Aggregated Shapley value for the class of CSG is a subgame perfect Nash equilibrium (SPNE) of the induced strategic game. Finally, we study an alternative Exchange Economy model by incorporating committees instead of commodities

Axiom · Bidding · Nash equilibrium · Shapley Value · Subgame perfect equilibrium · Auction Theory and Applications · Game Theory and Applications · Game Theory and Voting Systems

  • A Strategic Model of Social and Economic Networks

    Open Access•Matthew O Jackson, Asher Wolinsky•Journal of Economic Theory•1996

  • A Value for n-Person Games

    Lloyd S Shapley•Contributions to the Theory of…•1953

Highly citedNo

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