Decision Methods for Solving Systems of Walrasian Inequalities
نویسندگان
چکیده
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.
منابع مشابه
APPROXIMATE SOLUTIONS OF THE WALRASIAN AND GORMAN POLAR FORM EQUILIBRIUM INEQUALITIES By
Recently Cherchye et al. (2011) reformulated the Walrasian equilibrium inequalities, introduced by Brown and Matzkin (1996), as an integer programming problem and proved that solving the Walrasian equilibrium inequalities is NP-hard. Following Brown and Shannon (2000), we reformulate the Walrasian equilibrium inequalities as the dual Walrasian equilibrium inequalities. Brown and Shannon proved ...
متن کاملAPPROXIMATE SOLUTIONS OF THE WALRASIAN EQUILIBRIUM INEQUALITIES WITH BOUNDED MARGINAL UTILITIES OF INCOME By
Recently Cherchye et al. (2011) reformulated the Walrasian equilibrium inequalities, introduced by Brown and Matzkin (1996), as an integer programming problem and proved that solving the Walrasian equilibrium inequalities is NPhard. Brown and Shannon (2002) derived an equivalent system of equilibrium inequalities ,i.e., the dual Walrasian equilibrium inequalities. That is, the Walrasian equilib...
متن کاملTwo 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.
متن کاملApproximating fixed points of nonexpansive mappings and solving systems of variational inequalities
A new approximation method for the set of common fixed points of nonexpansive mappings and the set of solutions of systems of variational inequalities is introduced and studied. Moreover, we apply our main result to obtain strong convergence theorem to a common fixed point of a nonexpannsive mapping and solutions of a system of variational inequalities of an inverse strongly mono...
متن کاملDeriving Fuzzy Inequalities Using Discrete Approximation of Fuzzy Numbers
Most of the researches in the domain of fuzzy number comparisons serve the fuzzy number ordering purpose. For making a comparison between two fuzzy numbers, beyond the determination of their order, it is needed to derive the magnitude of their order. In line with this idea, the concept of inequality is no longer crisp however it becomes fuzzy in the sense of representing partial belonging or de...
متن کامل