A probabilistic weak formulation of mean field games and applications

Mean field games are studied by means of the weak formulation of stochastic optimal control. This approach allows the mean field interactions to enter through both state and control processes and take a form which is general enough to include rank and nearest-neighbor effects. Moreover, the data may depend discontinuously on the state variable, and more generally its entire history. Existence and uniqueness results are proven, along with a procedure for identifying and constructing distributed strategies which provide approximate Nash equlibria for finite-player games. Our results are applied to a new class of multi-agent price impact models and a class of flocking models for which we prove existence of equilibria

Mean field games with common noise

A theory of existence and uniqueness is developed for general stochastic differential mean field games with common noise. The concepts of strong and weak solutions are introduced in analogy with the theory of stochastic differential equations, and existence of weak solutions for mean field games is shown to hold under very general assumptions. Examples and counter-examples are provided to enlighten the underpinnings of the existence theory. Finally, an analog of the famous result of Yamada and Watanabe is derived, and it is used to prove existence and uniqueness of a strong solution under additional assumptions

The judicial effective defense

Se estudia la defensa judicial efectiva como figura fundamental que integra el núcleo esencial del debido proceso, determinando los derechos de cada individuo acceder a las entidades judiciales en igualdad de condiciones, a ser Juzgado por el Juez Natural y con la protección eficaz de los derechos fundamentales, presentando sus argumentos a través de una defensa judicial efectiva ejerciendo el derecho de contradicción, se evidencia como se ha regulado a través de la legislación comparada y como esta garantía en las diferentes audiencias del sistema penal acusatorio, es vulnerada y cercenada en las diferentes etapas.NingunoStudying the judicial effective defense as a mental figure that integrates the essential of due process, determining the rights of each individual to access judicial entities in equal conditions, to be judged by a natural judge and with effective protection of the fundamental rights, presenting their arguments through an effective legal defense exercising the right of contradiction, is evidence as has regulated by the comparative legislation and how this warranty in different audiences of adversarial criminal system, is violated and severed in the different stage

The valuation of clean spread options: linking electricity, emissions and fuels

The purpose of the paper is to present a new pricing method for clean spread options, and to illustrate its main features on a set of numerical examples produced by a dedicated computer code. The novelty of the approach is embedded in the use of a structural model as opposed to reduced-form models which fail to capture properly the fundamental dependencies between the economic factors entering the production process

Design and implementation of a three-phase boost battery charger with PFC using CompactRIO control system : design, simulation and implementation of a 3-phase boost battery charger

In a plug-in hybrid electric vehicle, the utility grid charges the vehicle battery through a battery charger. For a three-phase grid supply voltage, three-phase boost rectifiers are commonly used as chargers. Bi-directional power transfer capability and unit power factor operation become desirable features due to the increasing power quality requirements on the grid-connected converters. The Voltage Oriented Control is one of the methods based on high performance dq-coordinate controllers which satisfies the increasing power quality requirements. The Voltage Oriented Control method for a three-phase boost rectifier has been designed, simulated and implemented. The system simulation is performed using Matlab/Simulink software as well as Labview. A feedforward decoupled current controller is designed along with a Pulse Width Modulation scheme to control the battery charging. The controller, consisting of a current controller and a DC-link voltage controller, is designed using a method called Internal Model Control. A National Instruments CompactRIO system is used for practical implementation. The system directly runs a Labview model to execute the control. The Labview files are developed for this purpose. A brief explanation of the system configuration is provided for the experimental system. ____________________________________________________________________________________________________________Los vehículos eléctricos e híbridos usan potencia de la red para cargar sus baterías y mientras lo hacen el sistema de tracción no está en uso. Debido a que el sistema de carga y el de tracción no están en uso al mismo tiempo, el inversor y el motor eléctrico pueden ser usados como rectificador evitando el uso redundante de componentes. Para hacer esto, un motor con dos juegos de devanados puede ser usado consiguiendo en el cargador una reducción considerable de peso, volumen y precio. El cargador propuesto en un cargador aislado de alta potencia que usa la mitad de los devanados del motor durante la carga usando el motor como si fuera un transformador. El uso de este motor especifico nos proporcionará aislamiento que será beneficioso por razones de seguridad. El objetivo principal de este proyecto fin de carrera es el diseño y la implementación de un cargador integrado para un coche eléctrico o híbrido con un nivel de potencia de 15 kW programando un control para el inversor que consiga tener un factor de potencia unitario.Ingeniería Industria

Differential Treatments Based on Drug-induced Gene Expression Signatures and Longitudinal Systemic Lupus Erythematosus Stratification

Daniel Toro is at present supported by structural funds to MEAR from the Fundación Pública Andaluza Progreso y Salud of the Junta de AndalucíaSupplementary information is available for this paper at https://doi.org/10.1038/s41598-019-51616-9.Systemic lupus erythematosus (SLE) is a heterogeneous disease with unpredictable patterns of activity. Patients with similar activity levels may have different prognosis and molecular abnormalities. In this study, we aimed to measure the main differences in drug-induced gene expression signatures across SLE patients and to evaluate the potential for clinical data to build a machine learning classifier able to predict the SLE subset for individual patients. SLE transcriptomic data from two cohorts were compared with drug-induced gene signatures from the CLUE database to compute a connectivity score that reflects the capability of a drug to revert the patient signatures. Patient stratification based on drug connectivity scores revealed robust clusters of SLE patients identical to the clusters previously obtained through longitudinal gene expression data, implying that differential treatment depends on the cluster to which patients belongs. The best drug candidates found, mTOR inhibitors or those reducing oxidative stress, showed stronger cluster specificity. We report that drug patterns for reverting disease gene expression follow the cell-specificity of the disease clusters. We used 2 cohorts to train and test a logistic regression model that we employed to classify patients from 3 independent cohorts into the SLE subsets and provide a clinically useful model to predict subset assignment and drug efficacy.This work has been partially supported by Junta de Andalucía through grant PI-0173–2017. The Hopkins Lupus Cohort is supported by NIH AR RO1069572

Electricity price modeling and asset valuation: a multi-fuel structural approach

We introduce a new and highly tractable structural model for spot and derivative prices in electricity markets. Using a stochastic model of the bid stack, we translate the demand for power and the prices of generating fuels into electricity spot prices. The stack structure allows for a range of generator efficiencies per fuel type and for the possibility of future changes in the merit order of the fuels. The derived spot price process captures important stylized facts of historical electricity prices, including both spikes and the complex dependence upon its underlying supply and demand drivers. Furthermore, under mild and commonly used assumptions on the distributions of the input factors, we obtain closed-form formulae for electricity forward contracts and for spark and dark spread options. As merit order dynamics and fuel forward prices are embedded into the model, we capture a much richer and more realistic dependence structure than can be achieved by classical reduced-form models. We illustrate these advantages by comparing with Margrabe's formula and a simple cointegration model, and highlight important implications for the valuation of power plants

Three Dimensional Visualization of Long Range Scenes by Photon Counting Mid-Wave Infrared Integral Imaging

Integral Imaging under photon counting conditions has found different three-dimensional (3D) imaging applications, including 3D image reconstruction and recognition. In this letter, we present the application of the maximum likelihood (ML) estimation method for visualization of 3D scenes in photon starved environments using Mid-Wave Infrared 3D data of real scenes acquired at distances ranging from 50m to more than 2km. To the best of our knowledge, this is the first report on Mid-Wave Infrared 3D photon counting integral imaging of distant scenes