Consensus group decision making under model uncertainty with a view towards environmental policy making
arXiv:2312.00436 · doi:10.1007/s10640-024-00846-1
Abstract
In this paper we propose a consensus group decision making scheme under model uncertainty consisting of an iterative two-stage procedure and based on the concept of Fréchet barycenter. Each step consists of two stages: the agents first update their position in the opinion metric space by a local barycenter characterized by the agents' immediate interactions and then a moderator makes a proposal in terms of a global barycenter, checking for consensus at each step. In cases of large heterogeneous groups the procedure can be complemented by an auxiliary initial homogenization step, consisting of a clustering procedure in opinion space, leading to large homogeneous groups for which the aforementioned procedure will be applied. The scheme is illustrated in examples motivated from environmental economics.
arXiv comment31 pages, 5 figures
References in corpus (6)
- Statistical Aspects of Wasserstein Distances
- Elastic analysis of irregularly or sparsely sampled curves
- Convex Risk Measures for the Aggregation of Multiple Information Sources and Applications in Insurance
- On clustering uncertain and structured data with Wasserstein barycenters and a geodesic criterion for the number of clusters
- Network Consensus in the Wasserstein Metric Space of Probability Measures
- Modelling of functional profiles and explainable shape shifts detection: An approach combining the notion of the Fréchet mean with the shape invariant model