A taxonomy of non-dictatorial domains
We provide an exhaustive classification of all preference domains that allow the design of unanimous social choice functions (henceforth, rules) that are non-dictatorial and strategy-proof. This taxonomy is based on a richness assumption and employs a simple property of two-voter rules called invaria...
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| Main Authors: | , |
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| Format: | text |
| Language: | English |
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Institutional Knowledge at Singapore Management University
2020
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| Online Access: | https://ink.library.smu.edu.sg/soe_research/2408 https://ink.library.smu.edu.sg/context/soe_research/article/3407/viewcontent/model_201027_final_version_.pdf |
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| Institution: | Singapore Management University |
| Language: | English |
| Summary: | We provide an exhaustive classification of all preference domains that allow the design of unanimous social choice functions (henceforth, rules) that are non-dictatorial and strategy-proof. This taxonomy is based on a richness assumption and employs a simple property of two-voter rules called invariance. The preference domains that form the classification are semi-single-peaked domains (introduced by Chatterji et al. (2013)) and semi-hybrid domains (introduced here) which are two appropriate weakenings of the single-peaked domains, and which, more importantly, are shown to allow strategy-proof rules to depend on non-peak information of voters’ preferences. As a refinement of the classification, single-peaked domains and hybrid domains emerge as the only preference domains that force strategy-proof rules to be determined completely by the peaks of voters’ preferences. We also provide characterization results for strategy-proof rules on these domains. |
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