This paper presents and compares three heuristics for the combinatorial auctionproblem. Besides a simple greedy (SG) mechanism, two metaheuristics, a simulatedannealing (SA), and a genetic algorithm (GA) approach are developedwhich use the combinatorial auction process to an allocation with...

We study properties of the solutions to a parametrized constrained optimization problem in Hilbert spaces. A special operator is studied which is of importance in economic theory; sufficient conditions are given for its existence, symmetry, and negative semidefiniteness. The techniques used are...

We present and evaluate a numerical optimization method (together with an algorithm for choosing the starting values) pertinent to the constrained optimization problem arising in the estimation of the GARCH models with inequality constraints, in particular the Simplified Component GARCH Model...

Professional economists rarely write on questions of genocide. This surprises because a workhorse tool of the economics discipline concerns the analysis of behavior that takes place under constraints. All parties in genocide—perpetrators, victims, and third parties—face cost and resource...

In this paper we provide some sufficient conditions for the differentiability of the value function in a class of infinite-horizon continuous—time models of convex optimization arising in economics. We dispense with an interioiity condition which is quite restrictive in constrained...

In this paper we provide some sufficient conditions for the differentiability of the value function in a class of infinite-horizon continuous-time models of convex optimization arising in economics. We dispense with an interiority condition which is quite restrictive in constrained optimization...

In this working paper we study some properties of a particular mapping in Rn related to an optimization problem with one equality constraint. We motivate the definition of the relevant mapping starting from a portfolio selection problem, in which we minimize the risk of an investment (the...

We consider a class of law invariant utilities which contains the Rank Dependent Expected Utility (RDU) and the cumulative prospect theory (CPT). We show that the computation of demand for a contingent claim when utilities are within that class, although not as simple as in the Expected Utility...

In this working paper we go on with the study of a mapping in Rn associated to a quadratic optimization problem with one equality linear constraint. After showing some general properties related to homogeneity and the inverse mapping, we present some results regarding how the mapping behaves...

This paper presents a method capable of estimating richly parametrized versions of the dynamic conditional correlation (DCC) model that go beyond the standard scalar case. The algorithm is based on the maximization of a Gaussian quasi-likelihood using a Bregman-proximal trust-region method to...