and on the state of nature as well. we allow for coalitions to form both before and after the resolution of uncertainty …, hence agreements must be stable against both types of deviations. The appropriate extension of the classicakl core concept …, the Sustainable Core, is defined for this new setup to test the stability of allocations in such a complex environment. A …

In this paper we investigate some new applications of Scarf's Lemma. First, we introduce the notion of fractional core …

axiomatization of the Shapley value that the requirements of Core Compatibility, Equal Treatment Property and Strong Monotonicity are …

DAG-games. In particular, we characterize classes of coalitions that have a constant payoff in the core. In addition, we … identify a subset of the coalitions that is sufficient to determine the core. …-based cost games. We demonstrate that in general a DAG-game is not concave, even its core might be empty, but we provide an …

games with non-empty cores this means that the core can be reached via a bounded sequence of blocks. …

jointly satisfy three natural fairness requirements for allocating risk capital in illiquid markets: Core Compatibility, Equal … Treatment Property and Strong Monotonicity. Core Compatibility can be viewed as the allocated risk to each coalition (subset) of …

practice. A simple model allows us to differentiate between winning and more winning and losing and less losing coalitions …