Monotone ratio orderings are refinements of first order stochastic dominance that allow monotone comparative statics results in games of incomplete information. We develop analogous refinements for second order stochastic dominance based on the monotonicity of the cumulative probability ratio and the unimodality of the likelihood and probability ratios. We go on to investigate comparative stati...

From 23.08. to 27.08.2009, the Dagstuhl Seminar 09351 Information processing, rational belief change and social interaction was held in Schloss Dagstuhl Leibniz Center for Informatics. During the seminar, several participants presented their current research, and ongoing work and open problems were discussed. Abstracts of the presentations given during the seminar as well as abstracts of semina...

This paper studies the comparative statics of adding agents to matching markets that generalize the marriage and college-admissions markets of D. Gale and L. Shapley (Amer. Math. Monrh1.v 69, 1962, 9915). It is shown, for the wide class of matching markets studied by A. Roth (Econometrica 52, 1984, 47-57), that adding an agent to one side of the market weakens the competitive positions of the o...

Effects of dislocation emission from a mode I crack and of pinning distances on the behavior of the crack and on fracture toughness in aluminum were studied by using the Molecular Statics Technique with atomic interactions described in terms of the Embedded Atom Method. It was found that aluminum is a ductile material in which the cracks generate dislocations, blunting the cracks. The blunting ...

We apply a non-monotonic version of Chebyshev's Algebraic Inequality in problems of comparative statics under uncertainty. © 2006 Elsevier B.V. All rights reserved.