In multiperiod stochastic optimization problems, the future optimal decision is a random variable whose distribution depends on parameters of problem. I analyze how expected value this changes as function dynamic in context Markov processes. call analysis comparative statics. derive both statics results and showing current decisions change response to single-period payoff function, discount fac...

This paper presents a method for structural optimization of discrete trusses using Graphic Statics. As opposed to traditional structural optimization techniques, which are typically conducted by manipulating the geometry of the structure (the form diagram), the approach presented in this paper establishes a Graphic Statics solution to the problem, where structural optimization is conducted usin...

The statics of one-dimensional rigid units chain subject to stretching force is analyzed. The potential energy of adjacent units interaction is assumed in the simple periodic form (harmonic in the small distortion limit). The position angles of subsequent units are given by the system of two iteration equations, one of them being irreversible. The derived system of equations exhibits interestin...

In previous work, we have shown that near-surface effects, principally static shifts, can be largely removed from seismic data using two novel concepts: finding and deconvolving ‘statics distribution functions’ from the traces; and transforming the input data to the radial trace domain, where near-surface effects can be separated by their dependence upon raypath angle. We have demonstrated our ...

We devise an estimation methodology which allows preferences estimation and comparative statics analysis without a reliance on Taylor’s approximations and the indirect utility function.

This note seeks to fill a small but significant gap in the literature on monopoly pricing. We ask how an expansion of market demand affects the resulting monopoly price. Specifically, if consumers’ (aggregate) willingness-to-pay increases uniformly by some amount, will the monopoly price increase, and, if so, by how much? It is readily verified that in case of a linear demand curve a uniform sh...

Consider an economic model whose equilibrium can be represented as the …xed point of a system of di¤erentiable equations. Using the theory ofB matrices, I show that comparative statics are well-behaved if the interactions between the equations are not too large, and the negative interactions are not too varied. When there are only positive interactions, for example when strategic complements pr...