We provide a school choice model where the student priority orders are allowed not to be total. We introduce a class of algorithms each of which derive a student optimal stable matching once we have an initial stable matching. Since there is a method to derive a stable matching, we can derive a...

In this paper, we consider a market where potential firms, which are allowed to be asymmetric, can freely enter and exit, and the total output would be socially excessive without any regulation. The effects of two alternative regulatory policies in the market: the individually transferable quota...

This study considers a hybrid voting model where some of the voters sincerely vote but the others may not. By using the model, we discuss several voting rules: the random dictatorship rule, plurality rule, Borda rule and others. In each rule, we derive the threshold such that a Pareto efficient...