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Research map / Multi-agent systems and games / Games and equilibria

Single-Agent Dynamics in Additively Separable Hedonic Games

AAAI 2022 · Multi-agent systems and games › Games and equilibria · approach: Fair division and coalition formation · 6 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Restrict utilities to one positive and one negative value with |f−(n)| ≥ f+(n)Nash stability in ASHGs · ASHGexistence decision complexityHurt
Use appreciation-of-friends utilitiesNash stability · AFGexistence decision complexityHurt
Restrict utilities to at most one nonnegative valueIndividually stable dynamics in ASHGs · ASHGdynamics convergenceHelped
Restrict utilities to at most one nonpositive valueContractually Nash stable dynamics in ASHGs · ASHGdynamics convergenceHelped
Restrict utilities to at most two distinct valuesJoint-majority stable dynamics in ASHGs · ASHGdynamics convergenceHelped
Apply IS-, CNS-, and JMS-deviation dynamics to friend/enemy utility classesFEGs, AFGs, and AEGs · FEGs, AFGs, and AEGsdynamics running timeHelped
Use symmetric utilitiesNash-deviation dynamics · Symmetric ASHGdynamics running timeHurt
Use symmetric utilitiesIndividually stable dynamics · Symmetric ASHGdynamics running timeHurt
Use majority-in consent in AEGsMajority-in stability · AEGexistence of stable partitionHurt
Use majority-out consent in AEGsMajority-out stability · AEGexistence of stable partitionHurt
Start majority-in dynamics from the grand coalition in AFGsMajority-in stability · AFGdynamics running time: at most n roundsHelped
Require separate or joint majority consent for deviations in general ASHGsSMS and JMS stability · ASHGexistence decision complexityHurt

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