It is widely reported in the literature that it is not possible to test nonmarket good preference restrictions against revealed preference. While it is clearly impossible to affirm any particular preference restriction as being “true,” it is possible to show that a preference restriction is not feasible. A revealed preference feasibility test for weak complementarity is presented here. With wea...

We prove an analogue of the portmanteau theorem on weak convergence of probability measures allowing measures which are unbounded on an underlying metric space but finite on the complement of any Borel neighbourhood of a fixed element. 2000 Mathematics Subject Classification: 60B10, 28A33

We examine the tradeoffs between two variants of group strategyproofness, efficiency and budget balance in queueing models. In general, group strategyproofness is incompatible with efficiency and budget balance. Weakening budget balance to feasibility, we show that the incompatibility persists with strong group strategyproofness. We then identify a necessary condition for weak group strategypro...

We propose generic declarative definitions of individual and collective trust relations between interacting agents and agent collections, and trust domains of trust-related agents in distributed systems. Our definitions yield (1) (in)compatibility, implicational, and transitivity results for trust relationships, including a Datalog-implementability result for their logical structure; (2) comput...

Consider the Navier-Stokes equations in a smooth bounded domain Ω ⊂ R and a time interval [0, T ), 0 < T ≤ ∞. It is well-known that there exists at least one global weak solution u with vanishing boundary values u ∣∣ ∂Ω = 0 for any given initial value u0 ∈ Lσ(Ω), external force f = divF , F ∈ L ( 0, T ;L(Ω) ) , and satisfying the strong energy inequality. In this paper we extend this existence ...

The non-stationary nonlinear Navier-Stokes equations describe the motion of a viscous incompressible fluid flow for 0 < t 6 T in some bounded three-dimensional domain. Up to now it is not known wether these equations are well-posed or not. Therefore we use a particle method to develop a system of approximate equations. We show that this system can be solved uniquely and globally in time and tha...

We prove global existence of weak solutions to two systems of equations which extend the dynamics of the Navier-Stokes equations for incompressible viscous flow with no-slip boundary condition. The systems of equations we consider arise as formal limits of time discrete pressure-Poisson schemes introduced by Johnston & Liu [J. Comput. Phys. 199, 221–259, 2004] and by Shirokoff & Rosales [J. Com...

We discuss the weak form of the Ramberg/Osgood equations for nonlinear elastic materials on a 3-dimensional domain and show that the stress tensor is Hölder continuous on an open subset whose complement is of Lebesgue-measure zero. We also give an estimate for the Hausdorff-dimension of the singular set.

The Dirichlet problem for the 2D Helmholtz equation in an exterior domain with cracks is studied. The compatibility conditions at the tips of the cracks are assumed. The existence of a unique classical solution is proved by potential theory. The integral representation for a solution in the form of potentials is obtained. The problem is reduced to the Fredholm equation of the second kind and of...

Carbon emissions from energy consumption of Shandong province from 1995 to 2012 are calculated. Three zero-residual decomposition models (LMDI, MRCI and Shapley value models) are introduced for decomposing carbon emissions. Based on the results, Kendall coordination coefficient method is employed for testing their compatibility, and an optimal weighted combination decomposition model is constru...