May’s theorem in a rectilinear spatial model

Kazuo Yamaguchi ()
Additional contact information
Kazuo Yamaguchi: Rissho University

Social Choice and Welfare, 2025, vol. 65, issue 3, No 8, 719 pages

Abstract: Abstract We investigate a social choice function that satisfies anonymity, spatial neutrality, and Maskin monotonicity in a multidimensional spatial model where each agent has an ideal point and prefers a point with a shorter rectilinear distance ( $$L_1$$ L 1 -distance) from it. In this model, the $$L_1$$ L 1 -median of agents’ ideal points coincides with the coordinate-wise median of these points with respect to the standard orthogonal coordinate system when there are an odd number of agents. Based on this fact, we show that the $$L_1$$ L 1 -median function is the only social choice function that satisfies anonymity, spatial neutrality, and Maskin monotonicity when there are an odd number of agents. Furthermore, we show that there exists no social choice function that satisfies these three conditions when there are an even number of agents.

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s00355-025-01587-w Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sochwe:v:65:y:2025:i:3:d:10.1007_s00355-025-01587-w

Ordering information: This journal article can be ordered from
http://www.springer. ... c+theory/journal/355

DOI: 10.1007/s00355-025-01587-w

Access Statistics for this article

Social Choice and Welfare is currently edited by Bhaskar Dutta, Marc Fleurbaey, Elizabeth Maggie Penn and Clemens Puppe

More articles in Social Choice and Welfare from Springer, The Society for Social Choice and Welfare Contact information at EDIRC.
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().