we derive whole series of new integral inequalities of the hardy-type, with non-conjugate exponents. first, we prove and discuss two equivalent general inequa-li-ties of such type, as well as their corresponding reverse inequalities. general results are then applied to special hardy-type kernel and power weights. also, some estimates of weight functions and constant factors are obtained. ...

We create a dynamic theory of endogenous risk sharing groups, with good internal information, and their coexistence with relative performance, individualistic regimes, which are informationally more opaque. Inequality and organizational form are determined simultaneously. Numerical techniques and succinct re-formulations of mechanism design problems with suitable choice of promised utilities al...

In Thailand, gross provincial product is highly unequal while household income exhibits moderate between-province inequality. This paper introduces a dynamic model to analyze the link between migration and cross-province inequality. The wage differential drives rural-to-urban migration and in turn the wage rate at the destination is affected by total amount of migrant labor supply. Migration ge...

Coherent and convex risk measures, Choquet expectation and Peng’s g-expectation are all generalizations of mathematical expectation. All have been widely used to assess financial riskiness under uncertainty. In this paper, we investigate differences amongst these risk measures and expectations. For this purpose, we constrain our attention of coherent and convex risk measures, and Choquet expect...

The paper deals with shape optimization of dynamic contact problem with Coulomb friction for viscoelastic bodies. The mass nonpenetrability condition is formulated in velocities. The friction coefficient is assumed to be bounded. Using material derivative method as well as the results concerning the regularity of solution to dynamic variational inequality the directional derivative of the cost ...

In this paper, some new types of delay integral inequalities on time scales are established, which can be used as a handy tool in the investigation of making estimates for bounds of solutions of delay dynamic equations on time scales. Our results generalize the main results in [15, 16, 17], and some of the results in [18, 19]. Key–Words: Delay integral inequality; Time scale; Integral equation;...

The theory and applications of dynamic derivatives on time scales have recently received considerable attention. The primary purpose of this paper is to give basic properties of diamond-α derivatives which are a linear combination of delta and nabla dynamic derivatives on time scales. We prove a generalized version of Jensen’s inequality on time scales via the diamond-α integral and present som...

In a nancial market consisting of a non risky asset and a risky one, we study the minimal initial capital needed in order to super-replicate a given contingent claim under a Gamma constraint. This is a constraint on the unbounded variation part of the hedging portfolio. We rst consider the case in which the prices are given as general Markov di usion processes and prove a veri cation theorem wh...

The optimal reward function associated with the so-called "multiarmed bandit problem" for general Markov-Feller processes is considered. It is shown that this optimal reward function has a simple expression (product form) in terms of individual stopping problems, without any smoothness properties of the optimal reward function neither for the global problem nor for the individual stopping probl...

In this paper we are concerned with the existence of optimal stationary policies for innnite horizon risk sensitive Markov control processes with denu-merable state space, unbounded cost function, and long run average cost. Introducing a discounted cost dynamic game, we prove that its value function satisses an Isaacs equation, and its relationship with the risk sensitive control problem is stu...