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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2312.00436 |
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| _version_ | 1866929347461382144 |
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| author | Koundouri, Phoebe Papayiannis, Georgios I. Petracou, Electra V. Yannacopoulos, Athanasios N. |
| author_facet | Koundouri, Phoebe Papayiannis, Georgios I. Petracou, Electra V. Yannacopoulos, Athanasios N. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_00436 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Consensus group decision making under model uncertainty with a view towards environmental policy making Koundouri, Phoebe Papayiannis, Georgios I. Petracou, Electra V. Yannacopoulos, Athanasios N. Multiagent Systems General Economics Economics Optimization and Control 91B08, 91B10, 91B43, 91B69, 91B76, 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. |
| title | Consensus group decision making under model uncertainty with a view towards environmental policy making |
| topic | Multiagent Systems General Economics Economics Optimization and Control 91B08, 91B10, 91B43, 91B69, 91B76, |
| url | https://arxiv.org/abs/2312.00436 |