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...

We construct a new method to describe firm distributions within technology fields and investigate the relationship between those distributions and aggregate innovation. To locate firms in a technology space, we apply multidimensional scaling for inter-firm technological dissimilarity, computed...