Quorums enable optimal pooling of independent judgements in biological systems

Collective decision-making is ubiquitous, and majority-voting and the Condorcet Jury Theorem pervade thinking about collective decision-making. Thus, it is typically assumed that majority-voting is the best possible decision mechanism, and that scenarios exist where individually-weak decision-makers...

Full description

Bibliographic Details
Main Authors: James AR Marshall, Ralf HJM Kurvers, Jens Krause, Max Wolf
Format: Article
Language:English
Published: eLife Sciences Publications Ltd 2019-02-01
Series:eLife
Subjects:
Online Access:https://elifesciences.org/articles/40368
_version_ 1811253111080091648
author James AR Marshall
Ralf HJM Kurvers
Jens Krause
Max Wolf
author_facet James AR Marshall
Ralf HJM Kurvers
Jens Krause
Max Wolf
author_sort James AR Marshall
collection DOAJ
description Collective decision-making is ubiquitous, and majority-voting and the Condorcet Jury Theorem pervade thinking about collective decision-making. Thus, it is typically assumed that majority-voting is the best possible decision mechanism, and that scenarios exist where individually-weak decision-makers should not pool information. Condorcet and its applications implicitly assume that only one kind of error can be made, yet signal detection theory shows two kinds of errors exist, ‘false positives’ and ‘false negatives’. We apply signal detection theory to collective decision-making to show that majority voting is frequently sub-optimal, and can be optimally replaced by quorum decision-making. While quorums have been proposed to resolve within-group conflicts, or manage speed-accuracy trade-offs, our analysis applies to groups with aligned interests undertaking single-shot decisions. Our results help explain the ubiquity of quorum decision-making in nature, relate the use of sub- and super-majority quorums to decision ecology, and may inform the design of artificial decision-making systems.Editorial note: This article has been through an editorial process in which the authors decide how to respond to the issues raised during peer review. The Reviewing Editor's assessment is that all the issues have been addressed (see decision letter).
first_indexed 2024-04-12T16:44:54Z
format Article
id doaj.art-1609947fed9b4df384e43a9a5bf38c9f
institution Directory Open Access Journal
issn 2050-084X
language English
last_indexed 2024-04-12T16:44:54Z
publishDate 2019-02-01
publisher eLife Sciences Publications Ltd
record_format Article
series eLife
spelling doaj.art-1609947fed9b4df384e43a9a5bf38c9f2022-12-22T03:24:36ZengeLife Sciences Publications LtdeLife2050-084X2019-02-01810.7554/eLife.40368Quorums enable optimal pooling of independent judgements in biological systemsJames AR Marshall0https://orcid.org/0000-0002-1506-167XRalf HJM Kurvers1https://orcid.org/0000-0002-3460-0392Jens Krause2Max Wolf3Department of Computer Science, University of Sheffield, Sheffield, United KingdomCentre for Adaptive Rationality, Max Planck Institute for Human Development, Berlin, GermanyDepartment of Fish Behavior and Ecology, Leibniz-Institute of Freshwater Ecology and Inland Fisheries, Berlin, GermanyDepartment of Fish Behavior and Ecology, Leibniz-Institute of Freshwater Ecology and Inland Fisheries, Berlin, GermanyCollective decision-making is ubiquitous, and majority-voting and the Condorcet Jury Theorem pervade thinking about collective decision-making. Thus, it is typically assumed that majority-voting is the best possible decision mechanism, and that scenarios exist where individually-weak decision-makers should not pool information. Condorcet and its applications implicitly assume that only one kind of error can be made, yet signal detection theory shows two kinds of errors exist, ‘false positives’ and ‘false negatives’. We apply signal detection theory to collective decision-making to show that majority voting is frequently sub-optimal, and can be optimally replaced by quorum decision-making. While quorums have been proposed to resolve within-group conflicts, or manage speed-accuracy trade-offs, our analysis applies to groups with aligned interests undertaking single-shot decisions. Our results help explain the ubiquity of quorum decision-making in nature, relate the use of sub- and super-majority quorums to decision ecology, and may inform the design of artificial decision-making systems.Editorial note: This article has been through an editorial process in which the authors decide how to respond to the issues raised during peer review. The Reviewing Editor's assessment is that all the issues have been addressed (see decision letter).https://elifesciences.org/articles/40368majority votesignal processingdecision-making
spellingShingle James AR Marshall
Ralf HJM Kurvers
Jens Krause
Max Wolf
Quorums enable optimal pooling of independent judgements in biological systems
eLife
majority vote
signal processing
decision-making
title Quorums enable optimal pooling of independent judgements in biological systems
title_full Quorums enable optimal pooling of independent judgements in biological systems
title_fullStr Quorums enable optimal pooling of independent judgements in biological systems
title_full_unstemmed Quorums enable optimal pooling of independent judgements in biological systems
title_short Quorums enable optimal pooling of independent judgements in biological systems
title_sort quorums enable optimal pooling of independent judgements in biological systems
topic majority vote
signal processing
decision-making
url https://elifesciences.org/articles/40368
work_keys_str_mv AT jamesarmarshall quorumsenableoptimalpoolingofindependentjudgementsinbiologicalsystems
AT ralfhjmkurvers quorumsenableoptimalpoolingofindependentjudgementsinbiologicalsystems
AT jenskrause quorumsenableoptimalpoolingofindependentjudgementsinbiologicalsystems
AT maxwolf quorumsenableoptimalpoolingofindependentjudgementsinbiologicalsystems