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AbstractWe extend the well-known spatial competition model (d'Aspremont et al., 1979) to a continuous time model in which two firms compete in each instance. Our focus is on the entry timing decisions of firms and their optimal locations. We demonstrate that the leader has an incentive to locate closer to the centre to delay the follower's entry, leading to a non-maximum differentiation outcome. We also investigate how exogenous parameters affect the leader's location and firms' values and, in particular, numerically show that the profit of the leader changes nonmonotonically with an increase in the transport cost parameter.
We study sequential merger incentives under presence of product differentiation. Two sets of firms produce closely related goods, whereas each set produces more differentiated goods. Merger incentives under product differentiation are found to be stronger for two firms producing closely related goods than more differentiated goods. Also, after one merger, other firms are willing to follow with their own merger, resulting in sequential mergers. This result is consistent with the recent mergers in the video game software industry in Japan.
We investigate the entry timing and location decisions under market-size uncertainty with Brownian motions in a continuous-time spatial competition duopoly model a la d' Aspremont et al. (1979). Under a sequential equilibrium, the threshold of the follower non-monotonically increases in volatility, which is in stark contrast to the extant results in the real options literature. Also, although the follower's entry timing tends to be late as the volatility becomes amplified, the leader is more likely to increase the degree of product differentiation as the volatility gets higher. Finally, we compare the equilibrium entry decisions with the second-best ones.
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