We consider a competitive facility location problem with two players. Players alternate\ud placing points, one at a time, into the playing arena, until each of them has placed n points.\ud The arena is then subdivided according to the nearest-neighbor rule, and the player whose points\ud control the larger area wins. We present a winning strategy for the second player, where the\ud arena is a circle or a line segment. We also consider a variation where players can play more\ud than one point at a time for the circle arena
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