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arXiv · 2207.14044

Location games with references

Fournier Gaëtan·Francou Amaury
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Abstract

We study a class of location games where players want to attract as many resources as possible and pay a cost when deviating from an exogenous reference location. This class of games includes political competitions between policy-interested parties and firms' costly horizontal differentiation. We provide a complete analysis of the duopoly competition: depending on the reference locations, we observe a unique equilibrium with, or without differentiation, or no equilibrium. We extend the analysis to a competition between an arbitrary number of players and we show that there exists at most one equilibrium which has a strong property: only the two most-left and most-right players deviate from their reference locations.

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Fournier Gaëtan, Francou Amaury. 2022-07-28. Location games with references. https://arxiv.org/abs/2207.14044

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