Mathematical theory of von Neumann economic models. Report on recent results
Mathematics and fisheries: match or mismatch?
Mathématiques et politique.
Maximal elements and equilibria of generalized games for -majorized and condensing correspondences.
Maximizing banking profit on a random time interval.
Maximum Entropy and Utility in a Transportation System
Mean stability of a stochastic difference equation
A simple personal saving model with interest rate based on random fluctuation of national growth rate is considered. We establish connections between the mean stochastic stability of our model and the deterministic stability of related partial difference equations. Then the asymptotic behavior of our stochastic model is studied. Although the model is simple, the techniques for obtaining its properties are not, and we make use of the theory of abstract Banach algebras and weighted spaces. It is hoped...
Mean variance and goal achieving portfolio for discrete-time market with currently observable source of correlations
The paper studies optimal portfolio selection for discrete time market models in mean-variance and goal achieving setting. The optimal strategies are obtained for models with an observed process that causes serial correlations of price changes. The optimal strategies are found to be myopic for the goal-achieving problem and quasi-myopic for the mean variance portfolio.
Mean-variance optimal local reinsurance contracts
Measuring consistency and inconsistency of pair comparison systems
In this paper we deal with mathematical modeling of real processes that are based on preference relations in the sense that, for every pair of distinct alternatives, the processes are linked to a value of preference degree of one alternative over the other one. The use of preference relations is usual in decision making, psychology, economics, knowledge acquisition techniques for knowledge-based systems, social choice and many other social sciences. For designing useful mathematical models of such...
Measuring criteria weights by means of Dimension Theory.
Measuring criteria weights in multicriteria decision making is a key issue in order to amalgamate information when reality is being described from several different points of view. In this paper we propose a method for evaluating those weights taking advantage of Dimension Theory, which allows the representation of the set of alternatives within a real space, provided that decision maker preferences satisfy certain consistency conditions. Such a representation allows a first information about possible...
Measuring of second–order stochastic dominance portfolio efficiency
In this paper, we deal with second-order stochastic dominance (SSD) portfolio efficiency with respect to all portfolios that can be created from a considered set of assets. Assuming scenario approach for distribution of returns several SSD portfolio efficiency tests were proposed. We introduce a -SSD portfolio efficiency approach and we analyze the stability of SSD portfolio efficiency and -SSD portfolio efficiency classification with respect to changes in scenarios of returns. We propose new...
Mechanism design in school choice: some lessons in a nutshell.
Médianes, Condorcet et Kendall
Media/psychological impact on multiple outbreaks of emerging infectious diseases.
Medias generalizadas y aplicaciones.
Method of construction of the evasion strategy for differential games with many pursuers [Book]
Méthode d'aide à la décision sur des évaluations multicritères par plusieurs juges
L'évaluation multicritère est un problème bien connu souvent traité par des méthodes de surclassement. Nous avons ici envisagé le cas général de plusieurs juges et agrégé les différentes évaluations pour construire une matrice de préférences, ramenant ainsi le problème à un problème de comparaisons par paires. Nous avons cherché des solutions optimales de classement en appliquant un algorithme d'affectation quadratique particulier.
Méthode d'estimation d'utilités additives concaves en programmation linéaire multiobjectifs
Metrizable groups and strict o-boundedness