We show that the Aumann-Davis-Maschler bargaining set and the Mas-Colell bargaining set of a non-leveled NTU game that is either ordinal convex or coalition merge convex coincides with the core of the game. Moreover, we show by means of an example that the foregoing statement may not be valid if...

On several classes of n-person NTU games that have at least one Shapley NTU value, Aumann characterized this solution by six axioms: Non-emptiness, efficiency, unanimity, scale covariance, conditional additivity, and independence of irrelevant alternatives (IIA). Each of the first five axioms is...

By means of an example it is shown that the prenucleolus is not the only minimal solution that satisfies nonemptiness, Pareto optimality, covariance, the equal treatment property and the reduced game property, even if universe of players is infinite. This example also disproves a conjecture of...

We introduce an extension of the Mas-Colell bargaining set and construct, by an elabo- ration on a voting paradox, a superadditive four-person nontransferable utility game whose extended bargaining set is empty. It is shown that this extension constitutes an upper hemi- continuous...

The positive core is a nonempty extension of the core of transferable utility games. If the core is nonempty, then it coincides with the core. It shares many properties with the core. Six well-known axioms which are employed in some axiomatizations of the core, the prenucleolus, or the positive...

Let A be a finite set of m alternatives, let N be a finite set of n players and let R^N be a profile of linear preference orderings on A of the players. Let u^N be a profile of utility functions for R^N. We define the NTU game V_u^N that corresponds to simple majority voting, and investigate its...

Let A be a finite set of m <FONT FACE="Symbol">³</FONT> 3 alternatives, let N be a finite set of n <FONT FACE="Symbol">³</FONT> 3 players and let R<SUP>n</SUP> be a profile of linear preference orderings on A of the players. Throughout most of the paper the considered voting system is the majority rule. Let u<SUP>N</SUP> be a profile of utility functions for R<SUP>N</SUP>. Using...</sup></sup></sup></font></font>