# Pirates in Wonderland: Liquid Democracy has Bicriteria Guarantees

arXiv: https://arxiv.org/abs/2105.05142 · HTML: https://mlsanity.com/paper/2105.05142/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 11 May 2021.

## Built on by (most cited first, 1 of 1)

- [Measuring a Priori Voting Power -- Taking Delegations Seriously](https://mlsanity.com/paper/2301.02462/) (2023)

## Abstract (arXiv)

Liquid democracy has a natural graphical representation, the delegation graph. Consequently, the strategic aspects of liquid democracy can be studied as a game over delegation graphs, called the liquid democracy game. Our main result is that this game has bicriteria approximation guarantees, in terms of both rationality and social welfare. Specifically, we prove the price of stability for ε-Nash equilibria is exactly ε in the liquid democracy game.