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The Distortion of Distributed Voting

Filos-Ratsikas, Aris and Micha, Evi and Voudouris, Alexandros A (2019) The Distortion of Distributed Voting. In: 12th International Symposium on Algorithmic Game Theory (SAGT 2019), 2019-09-30 - 2019-10-03, Athens, Greece.

1905.01882v2.pdf - Accepted Version

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Voting can abstractly model any decision-making scenario and as such it has been extensively studied over the decades. Recently, the related literature has focused on quantifying the impact of utilizing only limited information in the voting process on the societal welfare for the outcome, by bounding the distortion of voting rules. Even though there has been significant progress towards this goal, all previous works have so far neglected the fact that in many scenarios (like presidential elections) voting is actually a distributed procedure. In this paper, we consider a setting in which the voters are partitioned into disjoint districts and vote locally therein to elect local winning alternatives using a voting rule; the final outcome is then chosen from the set of these alternatives. We prove tight bounds on the distortion of well-known voting rules for such distributed elections both from a worst-case perspective as well as from a best-case one. Our results indicate that the partition of voters into districts leads to considerably higher distortion, a phenomenon which we also experimentally showcase using real-world data.

Item Type: Conference or Workshop Item (Paper)
Additional Information: Published proceedings: Algorithmic Game Theory. 12th International Symposium, SAGT 2019, Athens, Greece, September 30 – October 3, 2019, Proceedings. Part of the Lecture Notes in Computer Science book series (LNCS, volume 11801). Also part of the Information Systems and Applications, incl. Internet/Web, and HCI book sub series (LNISA, volume 11801).
Uncontrolled Keywords: Distributed voting; District-based elections; Distortion
Divisions: Faculty of Science and Health
Faculty of Science and Health > Computer Science and Electronic Engineering, School of
SWORD Depositor: Elements
Depositing User: Elements
Date Deposited: 20 May 2020 13:43
Last Modified: 23 Sep 2022 19:39

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