Abstract
We place ourselves in a decision making setting where a set of agents needs to collectively decide upon a set of alternatives characterised by their features. We introduce the notion of unshared features and show that if such features do not exist then we can reach a Condorcet consensus. We provide a deliberation protocol that ensures that, after its completion, the number of unshared features of the decision problem can only be reduced.
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Notes
- 1.
The pairwise majority aggregation method is known to be unanimous, independent to irrelevant alternatives and non-dictatorial.
- 2.
Please note that Dietrich et al. [6] suppose that agents can have a preference relation over features and thus they can discriminate between two alternatives satisfying the same number of desired features. Intuitively, the importance given to a feature depends on the context.
- 3.
In this case, the Condorcet winner is the most preferred alternative of the median voter [3].
- 4.
Case of the Condorcet paradox for example.
- 5.
Please note that for simplicity purposes, we assume here that both phases always succeed, i.e. all the agents manage to agree on a set of desired features and on the features satisfied by the alternatives.
- 6.
This observation is in line with the experimental results obtained by List et al. [12] in 2012.
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Boixel, A., Bisquert, P., Croitoru, M. (2019). Deliberation Towards Transitivity with Unshared Features. In: Baldoni, M., Dastani, M., Liao, B., Sakurai, Y., Zalila Wenkstern, R. (eds) PRIMA 2019: Principles and Practice of Multi-Agent Systems. PRIMA 2019. Lecture Notes in Computer Science(), vol 11873. Springer, Cham. https://doi.org/10.1007/978-3-030-33792-6_1
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