INOUE Tomoki    Department   Undergraduate School  , School of Political Science and Economics    Position   Senior Assistant Professor
Date	2019/06/15
Presentation Theme	Core convergence theorems for economies with bads
Conference	28th European Workshop on Economic Theory
Conference Type	International
Presentation Type	Speech (General)
Contribution Type	Individual
Details	We prove the convergence of core allocations for a sequence of economies with bads. We assume that consumers' preference relations are similar in three aspects. First, consumers' preference relations are equi-convex. Second, every upper contour set of every consumer has the same asymptotic cone. Third, the rate of convergence to the common asymptotic cone is uniform among consumers. Under these assumptions, we prove that, for every sequence of core allocations, a measure of noncompetitiveness converges to zero and consumers' consumption vectors at core allocations converge in measure to their demand vectors. We exemplify that the third assumption cannot be dispensed with in our core convergence theorems.