Assignment Games with a Central Player

摘要

We introduce a two-sided market situation with a central player. This player plays both the role of buyer and seller. From this situation we consider the corresponding TU-game and describe the core of the game in terms of the market data. We also study two point solutions: the nucleolus and the tau-value. When we allow the central player to have multiple partners, the game is still balanced and each competitive equilibrium provides a core allocation.