Mathematical Structures in Group Decision-Making on Resource Allocation Distributions.
- Friedkin NE University of California Santa Barbara, Department of Sociology and Center for Control, Dynamical-Systems and Computation, Santa Barbara, California, 93106, USA. friedkin@soc.ucsb.edu.
- Proskurnikov AV Delft University of Technology, Delft Center for Systems and Control, Delft, 2628 CD, Netherlands.
- Mei W ETH Zürich, Automatic Control Laboratory, 8092, Zurich, Switzerland.
- Bullo F University of California Santa Barbara, Department of Mechanical Engineering and Center for Control, Dynamical-Systems and Computation, Santa Barbara, California, 93106, USA.
- 2019-02-06
Published in:
- Scientific reports. - 2019
English
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.
- Language
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- English
- Open access status
- gold
- Identifiers
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- DOI 10.1038/s41598-018-37847-2
- PMID 30718652
- Persistent URL
- https://folia.unifr.ch/global/documents/158345
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