Breath Research Institute of the University of Innsbruck, Rathausplatz 4, A-­‐6850 Dornbirn, Austria Vorarlberg University of Applied Sciences, Hochschulstr. 1, A-­‐6850 Dornbirn, Austria Faculty of Mathematics, University of Vienna, Oskar-­‐Morgenstern-­‐Platz 1, 1090 Wien, Austria Univ.-­‐Clinic for Anesthesia and Intensive Care, Innsbruck Medical University, Anichstr, 35, A-­‐6020 Innsbruck,...

The notion of ‘mathematical impossibility’ of group decision making is founded on errors in microeconomics, game theory, and related disciplines. We highlight mathematical errors that have been committed by von Neumann and Morgenstern, Pareto, Hicks, Samuelson, and Debreu which have been propagated throughout the social sciences. Applicability of Mathematical Operations

Recently, Rodríguez-Lallena and´Ubeda-Flores [8] have introduced a class of bivariate copulas which generalizes some known families such as the Farlie-Gumbel-Morgenstern distributions. In this paper we present multivariate generalizations of this class studying symmetry and dependence concepts, measuring the dependence among the components of each class, and providing several examples.

This article presents a generalization of the equilibrium analysis for the simple two-player poker game with alternate bidding of Von Neumann and Morgenstern. It approximates optimal play for this game if it is played with a regular deck of 52 cards and it discusses some strategic insights. In addition, the paper studies the relative skill level of this game.

In this paper, the concomitants of case-II of generalized order statistics from Farlie-Gumbel-Morgenstern (FGM) distributions and recurrence relations between their moments are studied. Further, we provide the minimum variance linear unbiased estimator of the location and scale parameters of the concomitants of ordinary order statistics from some distributions.

We consider a generalization of the bivariate Farlie-Gumbel-Morgenstern (FGM) distribution by introducing additional parameters. For the generalized FGM distribution, the admissible range of the association parameter allowing positive quadrant dependence property is shown. Distributional properties of concomitants for this generalized FGM distribution are studied. Recurrence relations between m...