A compact axiomatic characterization of the modified Banzhaf value for games with a
coalition structure (Banzhaf–Owen value, for short) is provided. The axiomatic system used …

In this paper, the definition of the Shapley function for fuzzy cooperative games is given,
which is obtained by extending the classical case. The specific expression of the Shapley …

We introduce here a family of mixed coalitional values. They extend the binomial semivalues
to games endowed with a coalition structure, satisfy the property of symmetry in the quotient …

We study the efficient computation of power indices for weighted voting games with
precoalitions amongst subsets of players (reflecting, eg, ideological proximity) using the …

We introduce a new family of coalitional values designed to take into account players'
attitudes with regard to cooperation. This new family of values applies to cooperative games …

Power indices are commonly required to assign at least as much power to a player endowed
with some given voting weight as to any player of the same game with smaller weight. This …

< noindent (quotient game), this measure distributes the total value among the unions in
accordance with the Shapley value.< quad In the second step, once again applying the …

The notions of total power and potential, both defined for any semivalue, give rise to two
endomorphisms of the vector space of cooperative games on any given player set where the …

1meijide@ lugo. usc. es, Department of Statistics and Operations Research, University of
Santiago de Compostela 2Corresponding author: eigradu3@ usc. es, Department of …

The symmetric coalitional binomial semivalues extend the notion of binomial semivalue to
games with a coalition structure, in such a way that they generalize the symmetric coalitional …