The Continuous Hotelling Pure Location Game with Elastic Demand Revisited

Mouche, Pierre von

doi:10.1007/978-3-030-49988-4_17

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Comparing the Dhg With The Chg1

Introduction1

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2021

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“…The next table compares some of the above results with those in [8,17] More detailed results for the cHg are contained in [8] and [17]. For example, the cHg has a continuous best-response potential if and only if w ≤ 2 −2/L .…”

Section: Comparing the Dhg With The Chgmentioning

confidence: 92%

“…For the cHg, in[8] and[17] results can be found for a general (so even not necessarily continuous) f .…”

mentioning

confidence: 93%

“…not dependant on the distance). The more general case, allowing also for elastic demand, has been thoroughly studied in [2,17]; we further refer to this location game as the cHg (i.e., continuous Hotelling game).…”

Section: Introductionmentioning

confidence: 99%

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Discrete hotelling pure location games: potentials and equilibria

Iimura

Mouche

2021

ESAIM: ProcS

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We study two-player one-dimensional discrete Hotelling pure location games assuming that demand f(d) as a function of distance d is constant or strictly decreasing. We show that this game admits a best-response potential. This result holds in particular for f(d) = wd with 0 < w ≤ 1. For this case special attention will be given to the structure of the equilibrium set and a conjecture about the increasingness of best-response correspondences will be made.

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