This paper studies allocation correspondences in the house allocation problems with collective initial endowments. We examine the implications of two axioms, namely 'consistency' and 'unanimity.' Consistency requires the allocation correspondence be invariant under reductions of population....

This paper examines the -core of strategic games by means of the consistency principle. I provide a new definition of a reduced game for strategic games. And I define consistency (CONS) and two forms of converse consistency (COCONS and COCONS*) under this definition of reduced games. Then I...