Mathematical structures in group decision-making on resource allocation distributions

Journal Article (2019)
Author(s)

Noah E. Friedkin (University of California)

A. V. Proskurnikov (TU Delft - Team Tamas Keviczky, Russian Academy of Sciences)

Wenjun Mei (ETH Zürich)

Francesco Bullo (University of California)

Research Group
Team Tamas Keviczky
Copyright
© 2019 Noah E. Friedkin, A.V. Proskurnikov, Wenjun Mei, Francesco Bullo
DOI related publication
https://doi.org/10.1038/s41598-018-37847-2
More Info
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Publication Year
2019
Language
English
Copyright
© 2019 Noah E. Friedkin, A.V. Proskurnikov, Wenjun Mei, Francesco Bullo
Research Group
Team Tamas Keviczky
Issue number
1
Volume number
9
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Abstract

Optimal decisions on the distribution of finite resources are explicitly structured by mathematical models that specify relevant variables, constraints, and objectives. Here we report analysis and evidence that implicit mathematical structures are also involved in group decision-making on resource allocation distributions under conditions of uncertainty that disallow formal optimization. A group’s array of initial distribution preferences automatically sets up a geometric decision space of alternative resource distributions. Weighted averaging mechanisms of interpersonal influence reduce the heterogeneity of the group’s initial preferences on a suitable distribution. A model of opinion formation based on weighted averaging predicts a distribution that is a feasible point in the group’s implicit initial decision space.

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