Simulation of Dislocation in Cosserat Elastic Plates

In this article we present the numerical simulation of a dislocation incorporated into a Cosserat plate. The simulation is based on the mathematical model for bending of Cosserat elastic plates recently developed by the authors. The dislocation is modeled by a sequence of domains that converge to the point of the dislocation and by a residual force distributed around that point. The resulted plate deformation is calculated using the Finite Element method. We also discuss a possible effect of the dislocation on a hole incorporated into the plate.Comment: arXiv admin note: substantial text overlap with arXiv:1804.0729

Imperfect Competition in Financial Markets and Capital Structure

Sergei Guriev, Dmitriy Kvaso

The Non-Constant-Sum Colonel Blotto Game

The Colonel Blotto game is a two-player constant-sum game in which each player simultaneously distributes her fixed level of resources across a set of contests. In the traditional formulation of the Colonel Blotto game, the players’ resources are “use it or lose it” in the sense that any resources which are not allocated to one of the contests are forfeited. This paper examines a non-constant-sum version of the Colonel Blotto game which relaxes this use it or lose it feature. We find that if the level of asymmetry between the players’ budgets is below a threshold, then the unique set of equilibrium univariate marginal distributions of the non-constant-sum game is equivalent up to an affine transformation to the unique set of equilibrium univariate marginal distributions of the constant-sum game. Once the asymmetry of the players’ budgets exceeds the threshold we construct a new equilibrium.Colonel Blotto game, all-pay auction, contests

Dynamic flexoelectric effect in perovskites from first principles calculations

Using the dynamical matrix of a crystal obtained from ab initio calculations, we have evaluated for the first time the strength of the dynamic flexoelectric effect and found it comparable to that of the static bulk flexoelectric effect, in agreement with earlier order-of-magnitude estimates. We also proposed a method of evaluation of these effects directly from the simulated phonon spectra. This method can also be applied to the analysis of the experimental phonon spectra, being currently the only one enabling experimental characterization of the static bulk flexoelectric effect

The Non-Constant-Sum Colonel Blotto Game

The Colonel Blotto game is a two-player constant-sum game in which each player simultaneously distributes his fixed level of resources across a set of contests. In the traditional formulation of the Colonel Blotto game, the players’ resources are “use it or lose it” in the sense that any resources which are not allocated to one of the contests are forfeited. This article examines a non-constant-sum version of the Colonel Blotto game which relaxes this use it or lose it feature. We find that if the level of asymmetry between the players’ budgets is below a threshold, then there exists a oneto- one mapping from the unique set of equilibrium univariate marginal distribution functions in the constant-sum game to those in the non-constant-sum game. Once the asymmetry of the players’ budgets exceeds the threshold this relationship breaks down and we construct a new equilibrium.Colonel Blotto Game, All-Pay Auction, Contests, Mixed Strategies

Imperfect competition in financial markets and capital structure

We consider a model of corporate …nance with imperfectly competitive fi…nancial intermediaries. Firms can fi…nance projects either via debt or via equity. Because of asymmetric information about fi…rm's growth opportunities, equity fi…nancing involves a dilution cost. Nevertheless, equity emerges in equilibrium whenever fi…nancial intermediaries have sufficient market power. In the latter case, best fi…rms issue debt while the less pro…table …firms are equity-fi…nanced. We also show that strategic interaction between oligopolistic intermediaries results in multiple equilibria. If one intermediary chooses to buy more debt, the price of debt decreases, so the best equity-issuing fi…rms switch from equity to debt …nancing. This in turn decreases average quality of equity-fi…nanced pool, so other intermediaries also shift towards more debt.capital structure, pecking order theory of fi…nance, oligopoly in …financial markets, second degree price discrimination