We study the problem of determination of asset prices in an incomplete market proposing three different but related scenarios. One scenario uses a market game approach whereas the other two are based on risk sharing or regret minimizing considerations. Dynamical schemes modeling the convergence of the buyer’s and of the seller’s prices to a unique price are proposed. MSC2000 : 91B24, 91B26, 60H...

Clinically relevant varicoceles require surgical management through one of several techniques. We introduce an innovative technique for varicocelectomy via a subinguinal approach that allows identification and preservation of the arteries and lymphatics. This method allows the safe excision of the varicocele, while minimizing the risk of complications.

A three stage production system is considered in this paper. There are two stages to fabricate and ready the parts and an assembly stage to assembly the parts and complete the products in this system. Suppose that a number of products of different kinds are ordered. Each product is assembled with a set of several parts. At first the parts are produced in the first stage with parallel machines a...

Interpolation-based trust-region methods are an important class of algorithms for Derivative-Free Optimization which rely on locally approximating an objective function by quadratic polynomial interpolation models, frequently built from less points than there are basis components. Often, in practical applications, the contribution of the problem variables to the objective function is such that ...

Abstract In the last decade, index-based weather products (also called derivatives) have been gaining attention in climate resilience discussion. Weather derivatives are designed to help companies hedging against variability. These products, that can be market-traded or over-the-counter, compensate individuals based on a pre-defined index. Thus, pay-offs of derivative depend index and not, as w...

We investigate the problem of minimizing the moment of inertia among convex surfaces in R having a specified surface area. First we prove a minimizing surface exists, and derive a necessary condition holding at points of positive curvature. Then we show that an equilateral triangular prism is the optimal triangular prism, that the cube is the optimal rectangular prism, and that the sphere is (l...

In this paper we study optimization problems with infinite many inequality constraints on a Banach space where the objective function and the binding constraints are locally Lipschitz‎. ‎Necessary optimality conditions and regularity conditions are given‎. ‎Our approach are based on the Michel-Penot subdifferential.