The Lisbon voting system of the Council of the European Union, which became effective in
November 2014, cannot be represented as the intersection of six or fewer weighted games …

Isbell in 1959 was the first to find a weighted game without a minimum integer realization in
which the affected players do not play a symmetric role in the game. His example has 12 …

We state an integer linear programming formulation for the unique characterization of
complete simple games, ie a special subclass of monotone Boolean functions. In order to …

Weighted voting games are simple games that can be represented by a collection of integer
weights for each player so that a coalition wins if the sum of the player weights matches or …

This paper has a twofold scope. The first one is to clarify and put in evidence the isomorphic
character of two theories developed in quite different fields: on one side, threshold logic, on …

Simple coalitional games are a fundamental class of cooperative games and voting games
which are used to model coalition formation, resource allocation and decision making in …

This paper considers the stable set and coloring problems of hypergraphs and presents
several new results and algorithms using the semitensor product of matrices. By the …

Some distinguished types of voters, as vetoes, passers or nulls, as well as some others, play
a significant role in voting systems because they are either the most powerful or the least …

The voting system of the Legislative Council of Hong Kong (Legco) is sometimes unicameral
and sometimes bicameral, depending on whether the bill is proposed by the Hong Kong …

Coalitional voting games appear in different forms in multi-agent systems, social choice and
threshold logic. In this paper, the complexity of comparison of influence between players in …