This paper analyzes a simple, repeated game of simultaneous entry and prici
ng. We report a surprising property of the symmetric equilibrium solution:
If the number of potential competitors is increased above two, the market b
reaks down with higher probability, and the competitive outcome becomes les
s likely. More potential competition lowers welfare another Bertrand parado
x. The model can also be applied to auctions to explore whether a revenue m
aximizing auctioneer should restrict the number of bidders if bidder partic
ipation is costly. (C) 1999 Elsevier Science B.V. All rights reserved.