Under weak assumptions on the solution concept, I construct an invariant selection across all finite type spaces, in which the types with identical information play the same action. Along the way, I establish an interesting lattice structure for finite type spaces and construct an equilibrium on the space of all finite types.

A probability measure μ on Rd is called weakly unimodal if there exists a constant κ ≥ 1 such that for all r > 0, (0.1) sup a∈Rd μ(B(a, r)) ≤ κμ(B(0, r)). Here, B(a, r) denotes the `∞-ball centered at a ∈ Rd with radius r > 0. In this note, we derive a sufficient condition for weak unimodality of a measure on the Borel subsets of Rd. In particular, we use this to prove that every symmetric infi...

It is suggested that a unifying description of leptons and hadrons can be obtained within a nonabelian gauge theory where the gauge group is a symmetry group of a set of massless elementary fermions (leptons, quarks). We investigate the consequences of such an approach for the strong, electromagnetic, and weak interactions. We study both gauge theories with and without fermion number conservati...

The problem of pole assignment by state feedback in the class of non-square linear systems is considered in the paper. It is shown that the problem is solvable under the assumption of weak regularizability, a newly introduced concept that can be viewed as a generalization of the regularizability of square systems. Necessary conditions of solvability for the problem of pole assignment are establ...

| We present a new non-scan DFT technique for register-transfer (RT) level data paths. In the technique, we add thru operations to some operational modules to make the data path easily testable. We de ne a testable measure, weak testability, and consider the problem to make the data path weakly testable with minimum hardware overhead. We also de ne a measure to estimate the test generation time...

The fractional reaction diffusion equation ∂tu+Au = g(u) is discussed, where A is a fractional differential operator on R of order α ∈ (0, 2), the C function g vanishes at ζ = 0 and ζ = 1 and either g ≥ 0 on (0, 1) or g < 0 near ζ = 0. In the case of non-negative g, it is shown that solutions with initial support on the positive half axis spread into the left half axis with unbounded speed if g...

Credit ratings are commonly used by lenders to assess the default risk, because every credit is connected with a possible loss. If the probability of a default is above a certain threshold, a credit will not be provided. The purpose of this paper is to test whether credit ratings contribute valuable information on the creditworthiness of firms. Employing a large sample of Western German manufac...

In the context of the AdS/CFT correspondence we calculate the induced stress tensor of static dipoles (electric-electric and electric-magnetic) in a strongly coupled N = 4 SYM gauge theory, by solving the linearized Einstein equation with Maldecena string as a source. Analytic expressions are given for the far-field and a near-field close to one charge, and compared to what one has in weak coup...

In biand multilateral interactions, parties frequently make weak commitments, i.e., commitments to future actions from which they may nonetheless deviate at some cost. For example, partners in a strategic alliance usually increase their mutual commitment step by step, where intermediate stages imply only a weak commitment. This paper proposes a new mechanism by which weak commitments lead to im...

We prove a version of Hrushovski's 1989 results on almost orthogonal regular types in the context of simple and superstable nitary abstract elementary classes: from a certain expression of `non-orthogonality' we can conclude the existence of a group acting on the geometry obtained on the set of realizations of a regular Lascar strong type, and if we rule out the presence of a non-classical grou...