In this paper we present an axiomatic analysis of several ranking methods for general tournaments. We find that the ranking method obtained by applying maximum likelihood to the (Zermelo-)Bradley-Terry model, the most common method in statistics and psychology, is one of the ranking methods that...

We consider plurality voting games being simple games in partition function form such that in every partition there is at least one winning coalition. Such a game is said to be weighted if it is possible to assign weights to the players in such a way that a winning coalition in a partition is...

In the present paper we consider a situation in which the individual preferences and the social preference relation are intuitionistic fuzzy and study the compatibility between the Pareto principle and Sen’s minimal liberalism condition. A possible factorization of the intuitionistic fuzzy...

We study group formation by heterogeneous players when players’ preferences are dictated by status-seeking. Status can be intrinsic or associative. Considering these two types of status as either complements or substitutes results in non-emptiness of the core of the corresponding games and...