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...

We analyze a dynamic matching market where matching between agents is decided for each time period. To analyze this situation, we embed the situation into the framework of many-to-many matching with contracts where the contract includes the time period at which the matching occurs. While a...

We show that the core of a generalized assignment problem satisfies two types of stability properties. First, the core is the unique stable set defined using the weak domination relation when outcomes are restricted to individually rational and pairwise feasible ones. Second, the core is the...

We consider a multilateral matching market, where two or more agents can engage in a joint venture via multilateral contracts. Possible joint ventures are exogenously given. We study four stability concepts: strong group stability, stability, setwise stability, and weak setwise stability. We...

Several weakened substitutability conditions have been proved to be sufficient for stability in many-to-one matching with contracts and to be vital for understanding real-life applications. We examine the roles of these weakened conditions in many-to-many matching with contracts, in particular,...

We analyze a multi-period matching market where matching between agents is decided for each time period. To analyze this situation, we embed the situation into the framework of many-to-many matching with contracts where the contract includes the time period at which the matching occurs. While a...