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Estudio asintótico de una clase de índices de desigualdad muestrales.

María Angeles Gil Alvarez, Covadonga Caso, Pedro Gil Alvarez (1989)

Trabajos de Estadística

En la literatura sobre la cuantificación de la Desigualdad de una población en relación con cierta variable económica (renta, capital, etc.) se han establecido diferentes medidas, entre las cuales por su operatividad y caracterización axiomática merecen mención especial los llamados "índices de desigualdad aditivamente descomponibles" (que incluyen los conocidos índices de Theil y de la varianza normalizada).En este trabajo desarrollamos un estudio del comportamiento asintótico de dichos índices...

Estudio de una medida para la incertidumbre correspondiente a las utilidades.

María Angeles Gil Alvarez (1981)

Trabajos de Estadística e Investigación Operativa

En este trabajo se propone y estudia una medida para la incertidumbre correspondiente a las utilidades, o inquietud. Este concepto recibe por vez primera un tratamiento matemático. En la etapa inicial del trabajo se consideran conjuntos constituidos por resultados elementales, y en una segunda etapa se consideran conjuntos constituidos por pares de resultados.

Evaluación multiatributo con información parcial sobre las referencias.

M.ª Jesús Ríos Insua, Sixto Ríos Insua (1985)

Trabajos de Estadística e Investigación Operativa

En este trabajo consideramos el problema de la evaluación multiatributo en términos de una función de valor vectorial que conduce a un espacio de criterios en el que suponemos es posible obtener información parcial secuencial sobre las preferencias la cual se traduce en conos definidos sobre el espacio de criterios. También consideramos dentro del esquema señalado la situación en la cual el decisor parte de un subconjunto del conjunto total de decisiones, introduciendo el conjunto K-eficiente aproximado...

Events of Borel Sets, Construction of Borel Sets and Random Variables for Stochastic Finance

Peter Jaeger (2014)

Formalized Mathematics

We consider special events of Borel sets with the aim to prove, that the set of the irrational numbers is an event of the Borel sets. The set of the natural numbers, the set of the integer numbers and the set of the rational numbers are countable, so we can use the literature [10] (pp. 78-81) as a basis for the similar construction of the proof. Next we prove, that different sets can construct the Borel sets [16] (pp. 9-10). Literature [16] (pp. 9-10) and [11] (pp. 11-12) gives an overview, that...

Every Lusin set is undetermined in the point-open game

Ireneusz Recław (1994)

Fundamenta Mathematicae

We show that some classes of small sets are topological versions of some combinatorial properties. We also give a characterization of spaces for which White has a winning strategy in the point-open game. We show that every Lusin set is undetermined, which solves a problem of Galvin.

Evolutionary Games in Space

N. Kronik, Y. Cohen (2009)

Mathematical Modelling of Natural Phenomena

The G-function formalism has been widely used in the context of evolutionary games for identifying evolutionarily stable strategies (ESS). This formalism was developed for and applied to point processes. Here, we examine the G-function formalism in the settings of spatial evolutionary games and strategy dynamics, based on reaction-diffusion models. We start by extending the point process maximum principle to reaction-diffusion models with homogeneous, locally stable surfaces. We then develop...

Evolutionary training for Dynamical Recurrent Neural Networks: an application in finantial time series prediction.

Miguel Delgado, M. Carmen Pegalajar, Manuel Pegalajar Cuéllar (2006)

Mathware and Soft Computing

Theoretical and experimental studies have shown that traditional training algorithms for Dynamical Recurrent Neural Networks may suffer of local optima solutions, due to the error propagation across the recurrence. In the last years, many researchers have put forward different approaches to solve this problem, most of them being based on heuristic procedures. In this paper, the training capabilities of evolutionary techniques are studied, for Dynamical Recurrent Neural Networks. The performance...

Evolving small-board Go players using coevolutionary temporal difference learning with archives

Krzysztof Krawiec, Wojciech Jaśkowski, Marcin Szubert (2011)

International Journal of Applied Mathematics and Computer Science

We apply Coevolutionary Temporal Difference Learning (CTDL) to learn small-board Go strategies represented as weighted piece counters. CTDL is a randomized learning technique which interweaves two search processes that operate in the intra-game and inter-game mode. Intra-game learning is driven by gradient-descent Temporal Difference Learning (TDL), a reinforcement learning method that updates the board evaluation function according to differences observed between its values for consecutively visited...

Existence of Nash equilibria in two-person stochastic games of resource extraction

P. Szajowski (2006)

Banach Center Publications

This paper deals with two-person stochastic games of resource extraction under both the discounted and the mean payoff criterion. Under some concavity and additivity assumptions concerning the payoff and the transition probability function a stationary Nash equilibrium is shown to exist. The proof is based on Schauder-Tychonoff's fixed point theorem, applied to a suitable payoff vector space.

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