I introduce a property of player’s valuations that ensures the existence of an ex post e¢ cient equilibrium in asymmetric English auctions. The property is weaker than the one in Echenique and Manelli (2006) and is similar to that in Birulin and Izmalkov (2003). Relative to this latter paper and the work of Krishna (2003), the use of this property has the advantage of yielding the desired resul...

In this paper, using Clarke’s generalized directional derivative and dI-invexity we introduce new concepts of nonsmooth K-α-dI-invex and generalized type I univex functions over cones for a nonsmooth vector optimization problem with cone constraints. We obtain some sufficient optimality conditions and Mond-Weir type duality results under the foresaid generalized invexity and type I cone-univexi...

We consider a reaction–di usion equation in a bounded domain O⊂Rd, driven by a space– time white noise, with a drift term having polynomial growth and a di usion term which is not boundedly invertible, in general. We are showing that the transition semigroup corresponding to the equation has a regularizing e ect. More precisely, we show that it maps bounded and Borel functions de ned in the Hil...

Many optimization problems arising in various applications require minimization of an objective cost function that is convex but not di erentiable. Such a minimization arises, for example, in model construction, system identi cation, neural networks, pattern classi cation, and various assignment, scheduling, and allocation problems. To solve convex but not di erentiable problems, we have to emp...

In this paper we deal with sensitivity analysis in convex quadratic programming, without making assumptions on nondegeneracy, strict convexity of the objective function, and the existence of a strictly complementary solution. We show that the optimal value as a function of a right{hand side element (or an element of the linear part of the objective) is piecewise quadratic, where the pieces can ...

A useful approach to asymptotic e ciency for estimators in semiparametric models is the study of lower bounds on asymptotic variances via convolution theorems Such theorems are often applicable in models in which the classical assumptions of independence and identical dis tributions fail to hold but to date much of the research has focused on semiparametric models with independent and identical...

in this paper, we consider a particular class of integral equations of the fourth kind and show that tractability and differentiability index of the given system are 3. tractability and dierentiability index are introduced based on the-smoothing property of a volterra integral operator and index reduction procedure, respectively. using the notion of index, we give sucient conditions for the...

We present hidden veri cation as a means to make the power of computational logic available to users of computer algebra systems while shielding them from its complexity. We have implemented in PVS a library of facts about elementary and transcendental functions, and automatic procedures to attempt proofs of continuity, convergence and di erentiability for functions in this class. These are cal...

in this study, a new and ecient approach is presented for numerical solution offredholm integro-dierential equations (fides) of the second kind on unbounded domainwith degenerate kernel based on operational matrices with respect to generalized laguerrepolynomials(glps). properties of these polynomials and operational matrices of integration,dierentiation are introduced and are ultilized to r...

some estimates are proved for the generalized fourier-bessel transform in the space (l^2) (alpha,n)-index certain classes of functions characterized by the generalized continuity modulus.