An hybrid parallel algorithm for solving tridiagonal linear systems versus the Wang’s method in a Cray T3D BSP computer

In this paper we describe an hybrid algorithm for an even number of processors based on an algorithm for two processors and the Overlapping Partition Method for tridiagonal systems. Moreover, we compare this hybrid method with the Partition Wang’s method in a BSP computer. Finally, we compare the theoretical computation cost of both methods for a Cray T3D computer, using the cost model that BSP model provides.

Losses from Horizontal Merger: an Extension to a Successive Oligopoly Model with Product Differentiation

This paper generalizes the model of Salant et al. (1983; Quarterly Journal of Economics, Vol. 98, pp. 185–199) to a successive oligopoly model with product differentiation. Upstream firms produce differentiated goods, retailers compete in quantities, and supply contracts are linear. We show that if retailers buy from all producers, downstream mergers do not affect wholesale prices. Our result replicates that of Salant's, where mergers are not profitable unless the size of the merged firm exceeds 80 per cent of the industry. This result is robust to the type of competition.