Eiselt, Horst A.; Laporte, Gilbert Locational equilibrium of two facilities on a tree. (English) Zbl 0734.90048 RAIRO, Rech. Opér. 25, No. 1, 5-18 (1991). Summary: This paper considers the location of two facilities on a tree. In particular, conditions for the existence of an equilibrium are derived and an efficient computational procedure is described for finding such an equilibrium, if one exists. Secondly, conditions for the so-called “first-entry paradox” are examined: in this, the first entrant to a market may not always have an advantage over his opponent as commonly thought. Relationships between the occurrence of this paradox and the existence of a Nash equilibrium are demonstrated. Cited in 9 Documents MSC: 90B80 Discrete location and assignment 91B50 General equilibrium theory 91B24 Microeconomic theory (price theory and economic markets) Keywords:locational equilibrium; Nash equilibrium; market entry; location of two facilities on a tree; existence of an equilibrium; first-entry paradox PDFBibTeX XMLCite \textit{H. A. Eiselt} and \textit{G. Laporte}, RAIRO, Rech. Opér. 25, No. 1, 5--18 (1991; Zbl 0734.90048) Full Text: DOI EuDML