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Choosing Two Facilities Hotelling Model

Baak, S.W.M. (2025) Choosing Two Facilities Hotelling Model.

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Abstract:In this paper, we introduce a game-theoretic model that represents the facility location problem where clients need to choose two facilities. This is based on the classic Hotelling-Downs model, with the change from choosing one facility to choosing two facilities. We develop tools that state that if one facility, or two facilities on the same location, are on the outside, that this strategy profile cannot be an equilibrium. This is useful for characterizing the possible equilibria for two, three and four facilities, and for the result that there does not exist an equilibrium for five facilities.
Item Type:Essay (Bachelor)
Faculty:EEMCS: Electrical Engineering, Mathematics and Computer Science
Subject:31 mathematics
Programme:Applied Mathematics BSc (56965)
Link to this item:https://purl.utwente.nl/essays/105076
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