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Mixed duopoly in a Hotelling framework with cubic transportation costs

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  • Jorge Fernández-Ruiz

    (El Colegio de México)

Abstract

We examine a two-stage location-price model of a mixed duopoly where a private profit-maximizing firm competes with a public welfare-maximizing firm in a Hotelling-type framework. A noteworthy result in this model is that, with quadratic transportation costs, which has become the usual assumption in the literature, the socially optimal locations are obtained in equilibrium. We show here that under the alternative assumption of cubic transportation costs this result no longer holds: equilibrium locations are socially suboptimal. We find that just as in the case of linear transportation costs, previously studied in the literature, for some locations there is price equilibrium in the second stage of the game and for other locations there is not. But, in contrast with such a case, there is a location pair for which there is price equilibrium in the second stage of the game and neither firm has an incentive to marginally change its location. We also find that, in contrast with the case of quadratic transportation costs, this location pair is not socially optimal.

Suggested Citation

  • Jorge Fernández-Ruiz, 2020. "Mixed duopoly in a Hotelling framework with cubic transportation costs," Letters in Spatial and Resource Sciences, Springer, vol. 13(2), pages 133-149, August.
    • Handle: RePEc:spr:lsprsc:v:13:y:2020:i:2:d:10.1007_s12076-020-00249-y
    DOI: 10.1007/s12076-020-00249-y
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    1. Park, Junseok & Moon, Ilkyeong, 2023. "A facility location problem in a mixed duopoly on networks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 175(C).

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