Set functions are mappings that assign to subsets of a universal set a real number and
appear in many fields of mathematics (pure and applied) and computer sciences …

This textbook presents the basics of game theory both on an undergraduate level and on a
more advanced mathematical level. It is the second, revised version of the successful 2008 …

An axiomatization of the interaction between the players of any coalition is given. It is based
on three axioms: linearity, dummy and symmetry. These interaction indices extend the …

The book brings together an overview of standard concepts in cooperative game theory with
applications to the analysis of social networks and hierarchical authority organizations. The …

In this paper we define a family of centrality measures for directed social networks from a
game theoretical point of view. We follow the line started in our previous paper (Gómez et …

We introduce three different approaches for decision making under uncertainty, if (I) there is
only partial (both cardinal and ordinal) information on an agent's preferences and (II) the …

In this paper we propose a generalization of the concept of symmetric fuzzy measure based
in a decomposition of the universal set in what we have called subsets of indifference. Some …

This paper introduces a new notion of a “procedural” value for cooperative TU games. A
procedural value is determined by an underlying procedure of sharing marginal …

A class of cooperative games arising from economic and operations research situations in
which agents with potential individual possibilities are connected via a hierarchy within an …

The concept of dividend in transferable utility games was introduced by Harsanyi [1959],
offering a unifying framework for studying various valuation concepts, from the Shapley …