タイトル(1)：Perfect Competition in Economies with Bads
【abstract】We consider an exchange economy where there are a continuum of consumers and some commodities are bads. We prove that a Walrasian equilibrium exists if consumers’ preference relations are similar in the sense that
all consumers’ upper contour sets at endowment vectors have the same asymptotic cone and their rates of convergence to the common asymptotic cone have a similar order.
タイトル(2)：Upper Hemi-Continuity of the Walras Correspondence for Economies with Bads
【abstract】Hara (2005) exemplified that, in an atomless economy with bads, a Walrasian equilibrium may fail to exist, whereas in any finite economy with bads a Walrasian equilibrium always exists.
Thus, for a sequence of economies converging to an atomless economy without an equilibrium, the sequence of Walrasian equilibria does not converge,
which means that the Walras correspondence is not continuous and any finite economy, however large, is not suitable for an approximation of perfect competitive markets.
By using Inoue’s (2016) sufficient conditions for the existence of a Walrasian equilibrium in an atomless economy with bads, we clarifies a class of economies where the Walras correspondence is continuous.