@article{f646fb5252564579a5b06ac76129712b,
title = "Order Independence in Sequential, Issue-by-Issue Voting",
abstract = "We study when the voting outcome is independent of the order of issues put up for vote in a spatial multidimensional voting model. Agents equipped with norm-based preferences that use a norm to measure the distance from their ideal policy vote sequentially and issue by issue via simple majority. If the underlying norm is generated by an inner product{\textemdash}such as the Euclidean norm{\textemdash}then the voting outcome is order independent if and only if the issues are orthogonal. If the underlying norm is a general one, then the outcome is order independent if the basis defining the issues to be voted upon satisfies the following property; for any vector in the basis, any linear combination of the other vectors is Birkhoff{\textendash}James orthogonal to it. We prove a partial converse in the case of two dimensions; if the underlying basis fails this property, then the voting order matters. Finally, despite existence results for the two-dimensional case and for the general lp case, we show that nonexistence of bases with this property is generic.",
keywords = "Auerbach{\textquoteright}s theorem, Birkhoff{\textendash}James orthogonality, median voter, multidimensional types, order independence, sequential voting",
author = "Alex Gershkov and Benny Moldovanu and Xianwen Shi",
note = "Publisher Copyright: {\textcopyright} 2024 INFORMS.",
year = "2025",
month = aug,
doi = "10.1287/moor.2022.0342",
language = "אנגלית",
volume = "50",
pages = "1635--1653",
journal = "Mathematics of Operations Research",
issn = "0364-765X",
publisher = "INFORMS Inst.for Operations Res.and the Management Sciences",
number = "3",
}