Division Rules, Network Formation, and the Evolution of Wealth

We start with an initial wealth distribution. Each agent may establish at most one link with any agent in each period, yielding a surplus that agents split according to a uniform division rule. Wealth evolves by adding the payoffs to current wealth. Many long-run wealth distributions can arise, depending on the division rule and initial wealth distribution. The richest agent may remain richest or the poorest may become rich. Examing several division rules, we find that two factors determine the long-run wealth distribution: the size of the gain from a link, and the incentive to link to rich or poor.Network formation, long-run wealth distribution

Nash Demand Game and the Kalai-Smorodinsky Solution

We introduce two new variations on the Nash demand game. One, like all known Nash-like demand games so far, has the Nash solution outcome as its equilibrium outcome. In the other, the range of solutions depends on an exogenous breakdown probability; surprisingly, the Kalai-Smorodinsky outcome proves to be the most robust equilibrium outcome. While the Kalai-Smorodinsky solution always finishes on top, there is no possible general ranking among the remaining solution concepts considered; in fact, the rest of the solution concepts take their turns at the bottom at various bargaining problems, depending on the specifics of the bargaining setup.Nash demand game, Kalai-Smorodinsky Solution.

Are Banks Dead? Or Are the Reports Greatly Exaggerated?

This paper reexamines the conventional wisdom that commercial banking is an industry in severe decline. We find that a careful reading of the evidence does not justify this conclusion. It is true that on-balance sheet assets held by commercial banks have declined as a share of total intermediary assets. But this measure overstates any drop in banking, for three reasons. First, it ignores the rapid growth in commercial banks' off-balance sheet activities. Second, it fails to take account of the substantial growth in off-shore C&I lending by foreign banks. Third, it ignores the fact that over the last several decades financial intermediation has grown rapidly relative to the rest of the economy. We find that after adjusting the measure of bank assets to account for these considerations there is no clear evidence of secular decline. To corroborate these findings, we also construct an alternative measure of the importance of banking, using data from the national income accounts. Again, we find no clear evidence of a sustained decline. At most the industry may have suffered a slight loss of market share over the last decade. But as we discuss, this loss may reflect a transitory response to a series of adverse shocks and the phasing in of new regulatory requirements, rather than the beginning of a permanent decline.

The interpretation of geological structure for engineering design in rock

Imperial Users onl

The profitability and risk effects of allowing bank holding companies to merge with other financial firms: a simulation study

Bank mergers ; Bank holding companies ; Nonbank activities

Investigating the banking consolidation trend

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

Accurate calculation of the solutions to the Thomas-Fermi equations

We obtain highly accurate solutions to the Thomas-Fermi equations for atoms and atoms in very strong magnetic fields. We apply the Pad\'e-Hankel method, numerical integration, power series with Pad\'e and Hermite-Pad\'e approximants and Chebyshev polynomials. Both the slope at origin and the location of the right boundary in the magnetic-field case are given with unprecedented accuracy