This note provides two necessary and sufficient conditions for the relative interior of the core (and the base … greater than the minimum no-blocking payoff. Such conditions imply an intuitive method in proving core existence, they also … imply results on the sensitivity of the base polyhedron and the core. …

games. Furthermore, we show that equal treatment core payoff vectors satisfy a condition of cyclic monotonicity. Our results … core payoff vectors from satisfying a law of scarcity are stated in terms of the parameters describing the games. We note …

communication plans and establish the existence of core strategies for this cooperative game under various regularity conditions. …

main result, we show that the private core and the private Shapley value of an economy with differential information are …

strong sequential core of such an economy consists of those consumption streams that can be improved upon by no coalition at … no moment of time. Non-emptiness of the strong sequential core is established given a high enough discount factor …. Moreover, sufficient conditions are given under which the strong sequential core contains only time and history independent …

diversification." We show that this implies that the core of the capacity is non-empty. The converse holds under concavity of the … equivalent to non-empty core. In the expected utility model, all these notions of diversification are equivalent and are …

This paper examines the ex ante core of a pure exchange economy with asymmetric information in which state … core with nontransferable utility is empty; the game fails to be balanced because convex combinations of incentive … resulting cooperative games are balanced. In this framework, an incentive compatible core concept is defined for NTU games …

over consumption goods, competitive equilibrium allocations exist and belong to the (ex ante incentive) core. Furthermore …, any competitive equilibrium allocation can be viewed as an element of the core of the n-fold replicated economy, for every …