This paper analyzes a preference revelation game in the student optimal deferred acceptance algorithm in a college admission problem. We assume that each college's true preferences are known publicly and analyze the strategic behavior of students. We show the existence of a strictly strong Nash...

We study a labor markets described by a many-to-one matching market with externalities among firms in which each firm's preferences depend not only on workers whom it hires, but also on workers whom its rival firms hire. We define a new stability concept called weak stability, and investigate...

We analyze a subgame perfect equilibrium (SPE) of an extensive game with perfect information induced by the firm-oriented deferred acceptance (DA) algorithm in a one-to-one matching market between firms and workers. When no agents are strategic, the resulting outcome is the firm-optimal stable...