1,657 research outputs found

    Investigating the banking consolidation trend

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    This paper examines whether the U.S. banking industry's recent consolidation trend--toward fewer and bigger firms--is a natural result of market forces. The paper finds that it is not: The evidence does not support the popular claims that large banking firms are more efficient and less risky than smaller firms or the notion that the industry is consolidating in order to eliminate excess capacity. The paper suggests, instead, that public policies are encouraging banks to merge, although it acknowledges that other forces may be at work as well.Bank mergers

    Local Leaders in Random Networks

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    We consider local leaders in random uncorrelated networks, i.e. nodes whose degree is higher or equal than the degree of all of their neighbors. An analytical expression is found for the probability of a node of degree kk to be a local leader. This quantity is shown to exhibit a transition from a situation where high degree nodes are local leaders to a situation where they are not when the tail of the degree distribution behaves like the power-law kγc\sim k^{-\gamma_c} with γc=3\gamma_c=3. Theoretical results are verified by computer simulations and the importance of finite-size effects is discussed.Comment: 4 pages, 2 figure

    Services within a busy period of an M/M/1 queue and Dyck paths

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    We analyze the service times of customers in a stable M/M/1 queue in equilibrium depending on their position in a busy period. We give the law of the service of a customer at the beginning, at the end, or in the middle of the busy period. It enables as a by-product to prove that the process of instants of beginning of services is not Poisson. We then proceed to a more precise analysis. We consider a family of polynomial generating series associated with Dyck paths of length 2n and we show that they provide the correlation function of the successive services in a busy period with (n+1) customers
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