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Suppose instead there are N firms oriented symmetrically around this circle. This splits the circle into N equal pieces of length 1/N , which is

Suppose instead there are N firms oriented symmetrically around this circle. This splits the circle into N equal pieces of length 1/N , which is the distance between any two neighboring firms. If all firms set prices simultaneously, find the symmetric equilibrium prices in terms of N. What happens in this market as the number of firms N grows? 2

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