We use linear programming to provide a sensitivity analysis of Eisenberg and Noe’s one-period model of contagion via direct bilateral links. We provide a formula for the sensitivities of clearing payments and the terminal wealth of each node to initial wealth of each node.

The modelling of data on a spherical surface requires the consideration of directional probability distributions. To model asymmetrically distributed data on a three-dimensional sphere, Kent distributions are often used. The moment estimates of the parameters are typically used in modelling tasks involving Kent distributions. However, these lack a rigorous statistical treatment. The focus of th...

Following up on the work of Megiddo and Vazirani [10], who determined continuity properties of equilibrium prices and allocations for perhaps the simplest market model, Fisher’s linear case, we do the same for: – Fisher’s model with piecewise-linear, concave utilities – Fisher’s model with spending constraint utilities – Arrow-Debreu’s model with linear utilities – Eisenberg-Gale markets.

1 United States and European Students’ Social-Networking Site Activities and Academic Performance Aryn C. Karpinski, Kent State University, Kent, OH, USA Paul A. Kirschner, Open University of the Netherlands, Heerlen, The Netherlands Anthony V. Shreffler, Kent State University, Kent, OH, USA Patricia A. Albert, Kent State University, Kent, OH, USA Carrie A. Tomko, Kent State University, Kent, O...