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arXiv · 2204.14094

Single-Peaked Opinion Updates

Robert Bredereck·Anne-Marie George·Jonas Israel·Leon Kellerhals
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Abstract

We consider opinion diffusion for undirected networks with sequential updates when the opinions of the agents are single-peaked preference rankings. Our starting point is the study of preserving single-peakedness. We identify voting rules that, when given a single-peaked profile, output at least one ranking that is single peaked w.r.t. a single-peaked axis of the input. For such voting rules we show convergence to a stable state of the diffusion process that uses the voting rule as the agents' update rule. Further, we establish an efficient algorithm that maximises the spread of extreme opinions.

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Robert Bredereck, Anne-Marie George, Jonas Israel, Leon Kellerhals. 2022-04-29. Single-Peaked Opinion Updates. https://arxiv.org/abs/2204.14094

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