• Open Access

Heterogeneous Preference and Local Nonlinearity in Consensus Decision Making

Andrew T. Hartnett, Emmanuel Schertzer, Simon A. Levin, and Iain D. Couzin
Phys. Rev. Lett. 116, 038701 – Published 22 January 2016
PDFHTMLExport Citation

Abstract

In recent years, a large body of research has focused on unveiling the fundamental physical processes that living systems utilize to perform functions, such as coordinated action and collective decision making. Here, we demonstrate that important features of collective decision making among higher organisms are captured effectively by a novel formulation of well-characterized physical spin systems, where the spin state is equivalent to two opposing preferences, and a bias in the preferred state represents the strength of individual opinions. We reveal that individuals (spins) without a preference (unbiased or uninformed) play a central role in collective decision making, both in maximizing the ability of the system to achieve consensus (via enhancement of the propagation of spin states) and in minimizing the time taken to do so (via a process reminiscent of stochastic resonance). Which state (option) is selected collectively, however, is shown to depend strongly on the nonlinearity of local interactions. Relatively linear social response results in unbiased individuals reinforcing the majority preference, even in the face of a strongly biased numerical minority (thus promoting democratic outcomes). If interactions are highly nonlinear, however, unbiased individuals exert the opposite influence, promoting a strongly biased minority and inhibiting majority preference. These results enhance our understanding of physical computation in biological collectives and suggest new avenues to explore in the collective dynamics of spin systems.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 3 May 2015

DOI:https://doi.org/10.1103/PhysRevLett.116.038701

This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Interdisciplinary Physics

Authors & Affiliations

Andrew T. Hartnett1,2,*, Emmanuel Schertzer3,4, Simon A. Levin2, and Iain D. Couzin2,5,6

  • 1Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
  • 2Department of Ecology and Evolutionary Biology, Princeton University, Princeton, New Jersey 08544, USA
  • 3UPMC Université Paris 06, Laboratoire de Probabilités et Modèles Aléatoires, CNRS UMR 7599, 75005 Paris, France
  • 4Collège de France, Center for Interdisciplinary Research in Biology, CNRS UMR 7241, 75005 Paris, France
  • 5Department of Collective Behaviour, Max Planck Institute for Ornithology, D-78457 Konstanz, Germany
  • 6Chair of Biodiversity and Collective Behaviour, University of Konstanz, D-78457 Konstanz, Germany

  • *a.t.hartnett@gmail.com

Article Text

Click to Expand

Supplemental Material

Click to Expand

References

Click to Expand
Issue

Vol. 116, Iss. 3 — 22 January 2016

Reuse & Permissions
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 3.0 License. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

×

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×