Variations on the Hotelling-Downs Model
Abstract
In this paper we expand the standard Hotelling-Downs model of spatial competition to a setting where clients do not necessarily choose their closest candidate (retail product or political). Specifically, we consider a setting where clients may disavow all candidates if there is no candidate that is sufficiently close to the client preferences. Moreover, if there are multiple candidates that are sufficiently close, the client may choose amongst them at random. We show the existence of Nash Equilibria for some such models, and study the price of anarchy and stability in such scenarios.
Cite
Text
Feldman et al. "Variations on the Hotelling-Downs Model." AAAI Conference on Artificial Intelligence, 2016. doi:10.1609/AAAI.V30I1.10054Markdown
[Feldman et al. "Variations on the Hotelling-Downs Model." AAAI Conference on Artificial Intelligence, 2016.](https://mlanthology.org/aaai/2016/feldman2016aaai-variations/) doi:10.1609/AAAI.V30I1.10054BibTeX
@inproceedings{feldman2016aaai-variations,
title = {{Variations on the Hotelling-Downs Model}},
author = {Feldman, Michal and Fiat, Amos and Obraztsova, Svetlana},
booktitle = {AAAI Conference on Artificial Intelligence},
year = {2016},
pages = {496-501},
doi = {10.1609/AAAI.V30I1.10054},
url = {https://mlanthology.org/aaai/2016/feldman2016aaai-variations/}
}