We study the core of a non-atomic game v which is uniformly continuous with respect to the DNA-topology and continuous at the grand coalition. Such a game has a unique DNA-continuous extension ${\overline {v}}$ on the space B1 of ideal sets. We show that if the extension ${\overline {v}}$ is...

Public good games in coalitional form, such as the ones depicting international environmental agreements for the reduction of a global pollutant, generally foresee scarce levels of cooperation. The incentive to free ride, that increases for higher levels of cooperation, prevents the formation of...

The classical theory of coalitional games with transferable utility is based on the assumption that all parameters of such games, including the expected pay-offs of coalitions, are exactly determined. In real cooperative situations, this assumption appears rather umealistic. Then the coalitional...

In this paper we present a solution concept for abstract systems called the admissible hierarchic set. The solution we propose is a refinement of the hierarchic solution, a generalization of the von Neumann and Morgenstern solution. For finite abstract systems we show that the admissible...

This paper analyzes the coalitional Great Fish War model under the assumption that players differ in their time preferences and use different discount rates. We derive the equilibrium payoffs of this coalitional game and investigate the impact of the asymmetry assumption on the extreme schemes...

This is a quantitative approach to measuring conflict and power in strategic settings: noncooperative games (with cardinal or ordinal utilities) and blockings (without any preference specification). A (0, 1)-ranged index is provided, taking its minimum on common interest games, and its maximum...

We present a classification of all stationary subgame perfect equilibria of the random proposer model for a three-person cooperative game according to the level of efficiency. The efficiency level is characterized by the number of “central” players who join all equilibrium coalitions. The...

Recently, applications of cooperative game theory to economic allocation problems have gained popularity. In many of these problems, players are organized according to either a hierarchical structure or a levels structure that restrict players ́possibilities to cooperate. In this paper, we...