An incumbent firm operates in a local computer market, which is a natural monopoly. That is, there is room for only one firm to sell profitably in this market. Market demand for the good is estimated to be Q^D = 100-P. Another firm would like to enter this market, but only if the incumbent firm has a higher unit cost than it does. Specifically, there is a 25 percent chance that the incumbent is a low cost firm, with a unit cost equal to 20, and there is a 75 percent chance that the incumbent is a high-cost firm with a unit cost of 30. The entrant's unit cost is 25. The entrant knows its cost but not that of the incumbent. The incumbent does know its unit cost. Market demand is common knowledge to both firms. The entrant, however, does get to observe the current or pre-entry market price at which the incumbent sells its good. If the entrant decides to enter the market it incurs a set-up cost of $1,000. Does the high-cost firm have an incentive to set a low price in order to masquerade as a low-cost firm?
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