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In recent years, the study of various models and questions related to LiquidDemocracy has been of growing interest among the community of ComputationalSocial Choice. A concern that has been raised, is that current academicliterature focuses solely on static inputs, concealing a key characteristic ofLiquid Democracy: the right for a voter to change her mind as time goes by,regarding her options of whether to vote herself or delegate her vote to otherparticipants, till the final voting deadline. In real life, a period ofextended deliberation preceding the election-day motivates voters to adapttheir behaviour over time, either based on observations of the remainingelectorate or on information acquired for the topic at hand. By adding atemporal dimension to Liquid Democracy, such adaptations can increase thenumber of possible delegation paths and reduce the loss of votes due todelegation cycles or delegating paths towards abstaining agents, ultimatelyenhancing participation. Our work takes a first step to integrate a timehorizon into decision-making problems in Liquid Democracy systems. Ourapproach, via a computational complexity analysis, exploits concepts and toolsfrom temporal graph theory which turn out to be convenient for our framework.

As Time Goes By: Adding a Temporal Dimension Towards Resolving Delegations in Liquid Democracy