well-known that the strict core of such a game may be empty, single-valued, or multi-valued. We define a condition on such … core allocation in the model with no indifference). We prove that a game has a nonempty strict core if and only if it is … either a strict core allocation or a report that the strict core is empty. Finally, we are also able to construct a linear …

In the marriage problem (two-sided one-to-one matching problem), it is well-known that the weak core, the strong core …-weak core and the G-strong core. These are core concepts in which blocking power is restricted to the coalitions belonging to … equivalence of the G-weak core and the G-strong core. -- marriage problem ; G-weak core ; G-strong core …

In the marriage problems (two-sided one-to-one matching problems), it is well-known that the weak core, the strong core …-weak core and the G-strong core. These are the core concepts in which blocking power is restricted to the coalitions belonging … of the G-weak core and the G-strong core …

rotation model, in this paper we definea solution called the rotation core in the same flavor of the core in the housing … marketmodel. It turns out that the rotation core is nonempty, single-valued, and found by astrategy-proof variant of Top Trading … Cycle (TTC). This generalizes the well-knownresult that TTC finds the unique core allocation in the housing market model …

The ex ante incentive compatible core of an exchange economy with private information is the (standard) core of a … incentive compatible core can be empty, even if utility functions are quasi-linear. If, in addition to quasi-linearity, further … assumptions are made (like independent private values), the non-emptiness of the core follows nevertheless from d'Aspremont and …