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...

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...

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>

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...

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...