In an article by Hamiache (IJGT, 2001) an axiomatization of the Shapley value has been proposed. Three axioms were called on, inessential game, continuity and associated consistency. This present article proposes a new proof, based on elementary linear algebra. Games are represented by vectors....

The mean value is a new extension of the Shapley value for games with communication structure representable by a simple graph; only pairwise meetings can occur, although some of them might not be permitted. The new value is characterized by a set of axioms of which the one with the most...

In this work, a new axiomatization of the Shapley is presented. An associated game is constructed. We define a sequence of games, when the term of order n, in this sequence, is the associated game of the term of order (n-1). We show that the sequence converges and that the limit game is...

This paper presents two new axiomatizations of the Owen value for games with coalition structures. Two associated games are defined and a consistency axiom is required. The construction of the associated games presupposes that coalitions behave in an aggressive manner towards players who are not...

Ecological, toxicological, and pharmacological research is often concerned with the answer to the question of how a substance is processed within a biological system. The exact knowledge of the corresponding kinetic pattern forms the basis for a useful answer. In order to identify non-linear...

The prominent position of Carl Menger in the history of economics is mainly seen in his contribution in the subjective theory of value. In this article Menger's analysis of competition is examined and it is suggested that he understood competition as a dynamic process. All elements of the modern...

The purpose of this research is to study the trough of the global economics crisis in 2007 by studying business cycle of dry bulk shipping market using an integrative model over the period from January 1999 to October 2008 with developing an integrative model. This market is comprised of three...

The first aim of this paper is to clarify the differences and relationships between cumulative advantage/disadvantage and the Matthew effect. Its second aim, which is also its main contribution, is not only to present a new measure of the Matthew effect, but also to show how to estimate this...