Optimal strategies for the one-round discrete Voronoi game on a line

DOI10.1007/s10878-011-9447-6zbMath1302.91006OpenAlexW2766406394MaRDI QIDQ386423

Sandip Das, Bhaswar B. Bhattacharya, Aritra Banik

Publication date: 9 December 2013

Published in: Journal of Combinatorial Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10878-011-9447-6

zbMATH Keywords

optimizationfacility locationcomputational geometryVoronoi game

Mathematics Subject Classification ID

2-person games (91A05) Applications of game theory (91A80) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Discrete location and assignment (90B80) Combinatorial games (91A46) Spatial models in economics (91B72)

Related Items (9)

The discrete Voronoi game in \(\mathbb{R}^2\) ⋮ Voronoi games using geodesics ⋮ Rectilinear Voronoi games with a simple rectilinear obstacle in plane ⋮ Improved bounds for discrete Voronoi games ⋮ Discrete Voronoi games and \(\epsilon\)-nets, in two and three dimensions ⋮ The 1-dimensional discrete Voronoi game ⋮ The one-round multi-player discrete Voronoi game on grids and trees ⋮ Geometric spanner games ⋮ On the sequential price of anarchy of isolation games

Cites Work

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• Maximizing Voronoi regions of a set of points enclosed in a circle with applications to facility location
• The one-round Voronoi game replayed
• Existence theory for spatially competitive network facility location models
• \((r,p)\)-centroid problems on paths and trees
• Facility location problems in the plane based on reverse nearest neighbor queries
• Competitive spatial models
• The one-round Voronoi game
• Competitive facility location: the Voronoi game
• Finding a guard that sees most and a shop that sells most
• Competitive Location Models: A Framework and Bibliography
• MAXIMIZING A VORONOI REGION: THE CONVEX CASE

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