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Complexity of Probabilistic Inference in Random Dichotomous Hedonic Games

AAAI 2023 · Multi-agent systems and games › Games and equilibria · approach: Fair division and coalition formation · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Restrict agents to approving at most one coalitionRandom DHGs, welfare-optimal coalition and specified-partition inference · 1-Listscomputational complexity: poly-timeHelped
Allow agents to approve at least two coalitionsRandom DHGs, welfare-optimal coalition inference · k-Lists (k ≥ 2)computational complexity: #P-hardHurt
Test only whether the welfare-optimality probability is positiveRandom DHGs with k-lists or poly(n)-lists · Welfare-optimal coalitioncomputational complexity: FPHelped
Consider welfare-optimality over all possible partitionsRandom DHGs · 1-Listscomputational complexity: NP-completeHurt
Restrict approved coalitions to intervals in a linear orderingRandom DHGs · Candidate intervalscomputational complexity: poly-timeHelped
Restrict each agent to approving coalitions of one sizeAnonymous hedonic games · Specified Nash-stable and perfect partitionscomputational complexity: poly-timeHelped
Set independent friendship probabilities to c/nRandom majority games · Perfect partitionstriangle-count distribution: Poisson random variable with parameter c3/6Helped

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