-convexity, under which the game is shown to have a non-empty core and the average tree solution lies in the core. In general, link …

In this paper, the classical theory of two-person cooperative games is extended to two-person cooperative games with … interval uncertainty. The core, balancedness, superadditivity and related topics are studied. Solutions are introduced and …

In this paper we introduce the equal division core for arbitrary multi-choice games and the constrained egalitarian …

staying with the original outcome with the risk of deviating. Employing this idea to the core leads to a new concept that we … call the risk-based core. We introduce this concept and discuss its properties. We find an inclusion relation between cores … yields many of the familiar inclusion relations as corollaries, while the inclusion of the optimistic core in the optimistic …

costs such that each agent demands consecutive sections. We show that the core, the prenucleolus, and the Shapley value on … associated games do not occur. The main axioms for the core and the nucleolus are consistency properties based on the reduced …

. The core predicts a unique and extreme outcome: the entire surplus is split evenly among the buyers when m > n and among … the sellers when m < n; the long side gets nothing. We test this core conjecture in the lab with n + m = 3 or 5 randomly … agreements while trading. Despite frequent attempts to collude and occasional large deviations from the core prediction, we find …