well-known bankruptcy problem, the so-called CG-consistent solution described by the Talmud represents the nucleolus of the …

properties. In addition, we consider a super set of core and show that excess-sum allocation can be viewed as an imputation that … value, nucleolus, etc. in such games. …

cooperative equilibria, especially as the number of players increases without bound. The core and the Shapley value are the …

introduce the corresponding TU-games. The core, as well as the two friendly solutions for the corners of the market, in this …

Recently it is proved that all infinite assignment games have a non-empty core. Using this fact, and a technique … are balanced via a related assignment game. By using certain core elements of infinite transportation games it can be … shown that infinite pooling games have a non-empty core. …

semireactive bargaining set coincides with the core on the class of symmetric TU-games. Furthermore, we give an example which … illustrates that the property 'the bargaining set coincides with the core' is not a prosperity property. …

that are both discontinuous and locally decreasing in money. We discuss Quinzii's theorem for the nonemptiness of the core … how this theorem of Quinzii and her second theorem on nonemptiness of the core in two-sided models are both special cases …

This paper investigates core stability of cooperative (TU) games via a fuzzy extension of the totally balanced cover of … a cooperative game. The stability of the core of the fuzzy extension of a game, the concave extension, is shown to … reflect the core stability of the original game and vice versa. Stability of the core is then shown to be equivalent to the …

In this note, we state a zero-maximum principle for core allocations, a result which was foreseen by Luenberger (1995 …). We prove a generalization of the first-zero maximum theorem of Luenberger. Roughly said, an allocation is in the core if …