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A toric approach to social choice theory
Abstract
This paper initiates a systematic study of objects in convex geometry and toric algebraic geometry arising from status quo systems in social choice theory. Our main application is to classify all cones arising from a large class of status quo systems that are smooth or simplicial.
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BibTeX
@misc{turna2026toric,
title = {{A toric approach to social choice theory}},
author = {Ata Poyraz Turna and Ben Y. Wormleighton},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.05745},
eprint = {2611.05745},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.05745},
}
RIS
TY - UNPB
TI - A toric approach to social choice theory
AU - Ata Poyraz Turna
AU - Ben Y. Wormleighton
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.05745
UR - https://arxiv.org/abs/2611.05745
AB - This paper initiates a systematic study of objects in convex geometry and toric algebraic geometry arising from status quo systems in social choice theory. Our main application is to classify all cones arising from a large class of status quo systems that are smooth or simplicial.
ER -