In a memorable scene from the …lm ”A Beautiful Mind,” John Nash explains to his friends how to direct their attentions to women in a bar. Game theorists who have seen the …lm point out that the proposed solution is not a Nash equilibrium. Here we determine the Nash equilibria to the...

Models of spatial competition are typically static, and exhibit multiple free-entry equilibria. Incumbent firms can earn rents in equilibrium because any potential entrant expects a significantly lower market share (since it must fit into a niche between incumbent firms) along with fiercer price...