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Quorum responses and consensus decision making.

David J T Sumpter1, Stephen C Pratt

  • 1Department of Mathematics, Uppsala University, PO Box 480, 75106 Uppsala, Sweden. david@math.uu.se

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Summary
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Animal groups reach consensus decisions through local interactions, benefiting cohesion, accuracy, and speed. Quorum responses, a nonlinear function of group behavior, are crucial for efficient consensus.

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Area of Science:

  • Behavioral Ecology
  • Mathematical Biology
  • Social Neuroscience

Background:

  • Animal groups frequently make consensus decisions, agreeing on a single option.
  • These decisions offer benefits like maintaining group cohesion, improving accuracy over solitary choices, and increasing decision speed.
  • Consensus emerges from local interactions without central control, where individual choices are influenced by others' commitment.

Purpose of the Study:

  • To examine the functional form of individual responses driving consensus decisions in animal groups.
  • To investigate the role of quorum responses in facilitating rapid and accurate group decision-making.
  • To explore how quorum rules balance decision speed and accuracy in cohesive group choices.

Main Methods:

  • Review of recent theoretical and empirical research on animal consensus decisions.
  • Development of a simple mathematical model to analyze individual response functions.
  • Analysis of quorum responses as a key mechanism in group decision-making.

Main Results:

  • Consensus decisions are widespread across animal taxa and offer significant adaptive advantages.
  • Positive feedback loops, where individual likelihood of choice increases with others' commitment, drive consensus.
  • Quorum responses, characterized by a sharply nonlinear function of participating individuals, are vital for efficient decision-making.

Conclusions:

  • Quorum rules are central to achieving both speed and accuracy in animal group consensus.
  • These rules enable cohesive selection of the best option while allowing adaptive trade-offs between speed and accuracy.
  • Understanding these mechanisms provides insights into collective intelligence and adaptive behavior in social animals.