We propose and analyze a quasi-Monte Carlo (QMC) algorithm for efficient simulation of wave propagation modeled by the Helmholtz equation in bounded region which refractive index is random spatially heterogenous. Our focus on case can contain multiple wavelengths. bypass usual sign-indefiniteness problem switching to an alternative sign-definite formulation recently developed Ganesh Morgenstern...

In a sequence of random variables, record values are observations that exceed or fall below the current extreme value.Now consider a sequence of pairwise random variables  {(Xi,Yi), i>=1}, when the experimenter is interested in studying just thesequence of records of the first component, the second component associated with a record value of the first one is termed the concomitant of that ...

Let P be an orthogonal polygon. Consider a sliding camera that travels back and forth along an orthogonal line segment s ∈ P as its trajectory. The camera can see a point p ∈ P if there exists a point q ∈ s such that pq is a line segment normal to s that is completely inside P . In the minimum-cardinality sliding cameras problem, the objective is to find a set S of sliding cameras of minimum ca...

Two agents have to choose one of three alternatives. Their ordinal rankings of these alternatives are commonly known among them. The rankings are diametrically opposed to each other. Ex-ante efficiency requires that they reach a compromise, that is choose the alternative which they both rank second, if and only if the sum of their von Neumann Morgenstern utilities from this alternative exceeds ...

The von Neumann and Morgenstern theory postulates that rational choice under uncertainty is equivalent to maximization of expected utility (EU). This view is mathematically appealing and natural because of the affine structure of the space of probability measures. Behavioural economists and psychologists, on the other hand, have demonstrated that humans consistently violate the EU postulate by ...

Harsanyi [4, 5] develops expected utility theory of von Neumann and Morgenstern [21] to provide two formalizations of utilitarianism. Weymark [22, 23] refers to these results as Harsanyi’s Aggregation and Impartial Observer Theorems. In this paper, we are concerned only with Aggregation Theorem. Sen [6] argues that von Neumann-Morgenstern expected utility theory is an ordinal theory and, theref...

We propose a concept to study the stability of social and economic networks when players are farsighted and allocations are determined endogenously. A set of networks is a von Neumann-Morgenstern farsightedly stable set with bargaining if there exists an allocation rule and a bargaining threat such that (i) there is no farsighted improving path from one network inside the set to another network...