Social Choice problem is defined for a finite set of alternatives A, over which a finite number of agents have preferences. Solution to the problem is a rule determining alternatives, which are the “best” to the group. The Condorcet winner is regarded as the best choice but it is absent in...

A unified matrix-vector representation is developed of such solution concepts as the core, the uncovered, the uncaptured, the minimal weakly stable, the minimal undominated, the minimal dominant and the untrapped sets. We also propose several new versions of solution sets

Data on economic, management and political science journals are used to produce quantitative estimates of (in)consistency of evaluations based on seven popular bibliometric indicators. This paper proposes a new approach to the construction of aggregate journal rankings: aggregation is considered...

Twelve sets, proposed as social choice solution concepts, are compared: the core, five versions of the uncovered set, two versions of the minimal weakly stable sets, the uncaptured set, the untrapped set, the minimal undominated set (strong top cycle) and the minimal dominant set (weak top...