Domains for well behaved monotonic social choice functions
We present here a set of necessary and sufficient conditions for an MD-Connected Domain to support a Well Behaved Monotonic Social Choice Function. We require the domain to have a minimal number of preferences in which a pair of alternatives flips their relation, and these reversals must occurr in a...
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| Format: | text |
| Language: | English |
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Institutional Knowledge at Singapore Management University
2022
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| Online Access: | https://ink.library.smu.edu.sg/soe_research/2604 https://ink.library.smu.edu.sg/context/soe_research/article/3603/viewcontent/Domains_for_WB_M_SCF_220221.pdf |
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| Institution: | Singapore Management University |
| Language: | English |
| Summary: | We present here a set of necessary and sufficient conditions for an MD-Connected Domain to support a Well Behaved Monotonic Social Choice Function. We require the domain to have a minimal number of preferences in which a pair of alternatives flips their relation, and these reversals must occurr in accordance to a tree graph. While this condition cannot be sum-marized by a set of restrictions on individual preferences, we provide two alternative characterizations that can, one that is necessary and another that is sufficient. |
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