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2018 | OriginalPaper | Buchkapitel

The Fluid Mechanics of Liquid Democracy

verfasst von : Paul Gölz, Anson Kahng, Simon Mackenzie, Ariel D. Procaccia

Erschienen in: Web and Internet Economics

Verlag: Springer International Publishing

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Abstract

Liquid democracy is the principle of making collective decisions by letting agents transitively delegate their votes. Despite its significant appeal, it has become apparent that a weakness of liquid democracy is that a small subset of agents may gain massive influence. To address this, we propose to change the current practice by allowing agents to specify multiple delegation options instead of just one. Much like in nature, where—fluid mechanics teaches us—liquid maintains an equal level in connected vessels, so do we seek to control the flow of votes in a way that balances influence as much as possible. Specifically, we analyze the problem of choosing delegations to approximately minimize the maximum number of votes entrusted to any agent, by drawing connections to the literature on confluent flow. We also introduce a random graph model for liquid democracy, and use it to demonstrate the benefits of our approach both theoretically and empirically.

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Fußnoten
1
Throughout this paper, let \(\log \) denote the natural logarithm.
 
2
There is one relevant dataset that we know of, which was analyzed by Kling et al. [12]. However, due to stringent privacy constraints, the data privacy officer of the German Pirate Party was unable to share this dataset with us.
 
3
For one of their subprocedures, instead of directly optimizing a convex program, Chen et al. [5] reduce this problem to finding a lexicographically optimal maximum flow in \(\mathcal {O}(n^5)\). We choose to directly optimize the convex problem in Gurobi, hoping that this will increase efficiency in practice.
 
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Metadaten
Titel
The Fluid Mechanics of Liquid Democracy
verfasst von
Paul Gölz
Anson Kahng
Simon Mackenzie
Ariel D. Procaccia
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-030-04612-5_13

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