-wise stability and Core. We first establish that the Set-wise stable set is contained in the Core and it contains the non-empty set … competitive equilibrium payoffs. Third, for any number of replicas there is a market with a Core payoff that is not a competitive …

on the one hand and the core property of an allocation on the other. In particular we show that it is an inhomogeneous … sacrifice”) which is derived from the egalitarian-equivalent concept suggested by Moulin (1987). We also develop a simple core … test by which it can be checked whether a given allocation is in the core thus being a possible outcome of a cooperative …

assignment game. We consider the Core, three other notions of group stability and two al- ternative definitions of competitive … equilibrium. We show that (i) each group stable set is closely related with the Core of certain games defined using a proper …

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 …

of preference profiles into subsets with the property that all preference profiles in the same subset have the same Core … generate as strict extensions all the (complete) preference profiles with the same Core. This is important for applications … since it reduces the amount of information that agents have to reveal about their preference relations to centralized Core …

We prove the non-emptiness of the core of an NTU game satisfying a condition of payoff-dependent balancedness, based on … transfer rate mappings. We also define a new equilibrium condition on transfer rates and we prove the existence of core payoff … vectors satisfying this condition. The additional requirement of transfer rate equilibrium refines the core concept and allows …

scale such games are quite tractable in analysis, computation, and realization. A core imputation comes in terms of …

We extend Jackson and Watts's (2002) result on the coincidence of S-stochastically stable and core stable networks from … marriage problems to roommate problems. In particular, we show that the existence of a side-optimal core stable network, on …

) coalitional equilibrium, describe a (cooperative) partition form game. A coalition is core-stable if the core of a suitable …