To Lead or to be Led: A Generalized Condorcet Jury Theorem under Dependence

Research output: Contribution to book/Conference proceedings/Anthology/ReportConference contributionContributedpeer-review

Contributors

Abstract

Aggregating pieces of information or beliefs held by (abstract) agents is central to a variety of belief merging applications. When the merging process aims at retrieving an underlying ground truth, the Condorcet Jury Theorem (CJT) allows identifying voting rules that almost surely track the true piece of information for large groups of agents, given that specific conditions are met. As essential assumptions, the CJT relies on all agents being equally competent as well as independent from one another. In the search for a generalization of the CJT applicable to real-world scenarios, both aforementioned assumptions were weakened separately. In this work, we provide a generalization of the CJT that allows, at the same time, for heterogeneous competence levels across agents as well as a degree of dependence modeled through an opinion leader exerting influence on the electorate. Additionally, we derive a concrete bound on the number of agents necessary to successfully track the underlying ground truth, and examine the bound's tightness by means of statistical simulations.

Details

Original languageEnglish
Title of host publicationAAMAS '24: Proceedings of the 23rd International Conference on Autonomous Agents and Multiagent Systems
Pages983-991
Number of pages9
Volume2024-May
Publication statusPublished - 6 May 2024
Peer-reviewedYes

Conference

Title23rd International Conference on Autonomous Agents and Multiagent Systems
Abbreviated titleAAMAS 2024
Conference number23
Duration6 - 10 May 2024
Website
LocationCordis Hotel
CityAuckland
CountryNew Zealand

External IDs

Scopus 85196401597

Keywords

Research priority areas of TU Dresden

Keywords

  • Opinion Leader, Condorcet Jury Theorem, Belief Merging