Positive Definite Tensors to Nonlinear Complementarity Problems

The main purpose of this note is to investigate some kinds of nonlinear complementarity problems (NCP). For the structured tensors, such as, symmetric positive definite tensors and copositive tensors, we derive the existence theorems on a solution of these kinds of nonlinear complementarity problems. We prove that a unique solution of the NCP exists under the condition of diagonalizable tensors.Comment: 11 page

What's the Use? Welfare Estimates from Revealed Preference Models when Weak Complementarity Does Not Hold

In this paper we consider the theoretical and empirical ramifications of welfare measurement in revealed preference models when weak complementarity does not hold. In the context of a Kuhn-Tucker model of recreation demand we show that, while it is possible to estimate preferences that do not appear to exhibit weak complementarity, the calculation of welfare measurements from these models requires a cardinal interpretation of preferences that cannot be tested. Furthermore, we reiterate the under-appreciated fact that even traditional use value estimates require a cardinal restriction on preferences that, while often intuitive, also cannot be tested. We demonstrate empirically that the choice of restrictions can have significant ramifications, as use value estimates can vary widely based on the assumed preference structure.

Resuelve: A Gauss program for solving computable general equilibrium and disequilibrium models

This paper describes a GAUSS program that can be used, among other things, to find equilibria for computable general equilibrium models, and fix price equilibria for general non Walrasian models. Simple applications for those two cases, as well as for linear and quadratic programming, are also provided.computable general equilibrium, disequilibrium, fix price equilibria, desequilibrio, precios rígidos