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arXiv · 2607.12610

Cycles in Liquid Democracy: A Game-Theoretic Justification

Markus Brill·Rachael Colley·Anne-Marie George·Grzegorz Lisowski·Georgios Papasotiropoulos·Ulrike Schmidt-Kraepelin
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Abstract

A common criticism of liquid democracy within the relevant academic literature is that delegation cycles can occur, seemingly resulting in unused voting power. Yet, practitioners argue that delegation cycles are not only unproblematic but are even formed intentionally by participants. To bring theory closer to reality, we introduce a model that captures this strategic behavior under uncertainty. We study the existence, structure and quality of Nash equilibria, revealing that delegation cycles naturally emerge. To complement these findings, we perform computational experiments using best-response dynamics.

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Markus Brill, Rachael Colley, Anne-Marie George, Grzegorz Lisowski, Georgios Papasotiropoulos, Ulrike Schmidt-Kraepelin. 2026-07-14. Cycles in Liquid Democracy: A Game-Theoretic Justification. https://arxiv.org/abs/2607.12610

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