Real zeros of quadratic Dirichlet L-functions

We show that for a positive proportion of real primitive Dirichlet characters chi, the associated Dirichlet L-function L(s,chi) has no zeros on the positive real axis. Prior to this it was not known whether or not there were infinitely many L-functions (from any family) with no positive real zeros.Comment: 38 page

The Computation of Counterfactual Equilibria in Homothetic Walrasian Economies

We propose a nonparametric test for multiple calibration of numerical general equilibrium models, and we present an effective algorithm for computing counterfactual equilibria in homothetic Walrasian economies, where counterfactual equilibria are solutions to the Walrasian inequalities.Applied general equilibrium analysis, Walrasian inequalities, Calibration

Two Algorithms for Solving the Walrasian Equilibrium Inequalities

We propose two algorithms for deciding if the Walrasian equilibrium inequalities are solvable. These algorithms may serve as nonparametric tests for multiple calibration of applied general equilibrium models or they can be used to compute counterfactual equilibria in applied general equilibrium models defined by the Walrasian equilibrium inequalities.Applied general equilibrium analysis, Walrasian equilibrium inequalities, Calibration

Indeterminacy, Nonparametric Calibration and Counterfactual Equilibria

We propose a nonparametric approach to multiple calibration of numerical general equilibrium models, where counterfactual equilibria are solutions to the Walrasian inequalities. We present efficient approximation schemes for deciding the solvability of Walrasian inequalities.Applied general equilibrium analysis, Walrasian inequalities, O-minimal structures, Monte Carlo algorithms

Decision Methods for Solving Systems of Walrasian Inequalities

We propose two algorithms for deciding if systems of Walrasian inequalities are solvable. These algorithms may serve as nonparametric tests for multiple calibration of applied general equilibrium models or they can be used to compute counterfactual equilibria in applied general equilibrium models defined by systems of Walrasian inequalities.Applied general equilibrium analysis, Walrasian inequalities, Calibration

Two Algorithms for Solving the Walrasian Equilibrium Inequalities

We propose two algorithms for deciding if the Walrasian equilibrium inequalities are solvable. These algorithms may serve as nonparametric tests for multiple calibration of applied general equilibrium models or they can be used to compute counterfactual equilibria in applied general equilibrium models defined by the Walrasian equilibrium inequalities.Applied general equilibrium analysis, Walrasian equilibrium inequalities, calaibration