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Main Authors: Fournier, Gaëtan, Schröder, Marc
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2401.07732
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author Fournier, Gaëtan
Schröder, Marc
author_facet Fournier, Gaëtan
Schröder, Marc
contents We study a variant of the Hotelling-Downs model of spatial competition between firms where consumer choices are influenced by their individual preferences as well as the popularity of the firms. In general, a multiplicity of market equilibria might exist due to the popularity effect. To elucidate firm decision-making, we explore three distinct behavioral attitudes towards this multiplicity of equilibria: optimistic, neutral, and pessimistic. For each behavior, we characterize the set of Nash equilibria and measure the impact of the selfish behavior on the social welfare by means of the price of anarchy and price of stability.
format Preprint
id arxiv_https___arxiv_org_abs_2401_07732
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Popularity in location games
Fournier, Gaëtan
Schröder, Marc
Computer Science and Game Theory
We study a variant of the Hotelling-Downs model of spatial competition between firms where consumer choices are influenced by their individual preferences as well as the popularity of the firms. In general, a multiplicity of market equilibria might exist due to the popularity effect. To elucidate firm decision-making, we explore three distinct behavioral attitudes towards this multiplicity of equilibria: optimistic, neutral, and pessimistic. For each behavior, we characterize the set of Nash equilibria and measure the impact of the selfish behavior on the social welfare by means of the price of anarchy and price of stability.
title Popularity in location games
topic Computer Science and Game Theory
url https://arxiv.org/abs/2401.07732