#3249. Answers set programs for non-transferable utility games: Expressiveness, complexity and applications

October 2026publication date
Proposal available till 14-05-2025
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Journal’s subject area:
Arts and Humanities (miscellaneous);
Developmental and Educational Psychology;
Experimental and Cognitive Psychology;
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Abstract:
Coalitional games are mathematical models suited to study payoff distribution problems in cooperative scenarios. In abstract terms, a coalitional game can be specified by explicitly listing all possible coalitions with their associated distributions. To date, a plethora of compact encodings have been already introduced and analyzed from the algorithm and computational viewpoints. These encodings typically share the assumption that the utility associated with a coalition can be freely transferred among agents. The research addresses this issue by proposing a compact encoding for representing and reasoning about the outcomes of NTU coalitional games. The proposed representation can succinctly encode several games of interest within a wide range of application domains. Eventually, a prototype system supporting the proposed framework has been implemented by leveraging a state-of-the-art answer set engine.
Keywords:
Answer set programming; Coalitional games; Computational complexity; Game theory; NTU games

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