We consider a competitive facility location problem with two players. Players alternate
placing points, one at a time, into the playing arena, until each of them has placed n points …

This chapter first provides a review of the foundations of competitive location models. It then
traces subsequent developments through time under special consideration of customer …

We prove the optimal convergence estimate for first-order interpolants used in finite element
methods based on three major approaches for generalizing barycentric interpolation …

This paper presents a simple model to determine the location strategies of two retail firms
planning to open a number of stores in a geographical market. Firms try to maximize their …

Voronoi game is a geometric model of competitive facility location problem played between
two players. Users are generally modeled as points uniformly distributed on a given …

We consider a competitive facility location problem with two players. Pla yers alternate
placing points, one at a time, into the playing arena, until each of them has placed n points …

This article provides an introduction into the Hotelling literature of spatial and product
differentiation. We examine the impact of the market structure on price competition and …

We develop a nested logit model of spatial competition in retail markets. Consumers choose
stores on the basis of price, variety and transport cost. Three games are considered: a price …

We reformulate spatial competition of firms selling a homogeneous good in a two-
dimensional bounded market. Under the assumptions of (1) uniform pricing of the good sold …

Geographic information systems (GISs) are widely used for representation, management,
and analysis of spatial data in many disciplines. In particular, geoscientists increasingly use …