On the Nash Equilibria in Decentralized Parallel Interference Channels

In this paper, the 2-dimensional decentralized parallel interference channel (IC) with 2 transmitter-receiver pairs is modelled as a non-cooperative static game. Each transmitter is assumed to be a fully rational entity with complete information on the game, aiming to maximize its own individual spectral efficiency by tuning its own power allocation (PA) vector. Two scenarios are analysed. First, we consider that transmitters can split their transmit power between both dimensions (PA game). Second, we consider that each transmitter is limited to use only one dimension (channel selection CS game). In the first scenario, the game might have either one or three NE in pure strategies (PS). However, two or infinitely many NE in PS might also be observed with zero probability. In the second scenario, there always exists either one or two NE in PS. We show that in both games there always exists a non-zero probability of observing more than one NE. More interestingly, using Monte-Carlo simulations, we show that the highest and lowest network spectral efficiency at any of the NE in the CS game are always higher than the ones in the PA.Comment: 6 pages, 4 figures, presented in ICCC Kyoto 201

Noisy Channel-Output Feedback Capacity of the Linear Deterministic Interference Channel

In this paper, the capacity region of the two-user linear deterministic (LD) interference channel with noisy output feedback (IC-NOF) is fully characterized. This result allows the identification of several asymmetric scenarios in which imple- menting channel-output feedback in only one of the transmitter- receiver pairs is as beneficial as implementing it in both links, in terms of achievable individual rate and sum-rate improvements w.r.t. the case without feedback. In other scenarios, the use of channel-output feedback in any of the transmitter-receiver pairs benefits only one of the two pairs in terms of achievable individual rate improvements or simply, it turns out to be useless, i.e., the capacity regions with and without feedback turn out to be identical even in the full absence of noise in the feedback links.Comment: 5 pages, 9 figures, see proofs in V. Quintero, S. M. Perlaza, and J.-M. Gorce, "Noisy channel-output feedback capacity of the linear deterministic interference channel," INRIA, Tech. Rep. 456, Jan. 2015. This was submitted and accepted in IEEE ITW 201

Satisfaction Equilibrium: A General Framework for QoS Provisioning in Self-Configuring Networks

This paper is concerned with the concept of equilibrium and quality of service (QoS) provisioning in self-configuring wireless networks with non-cooperative radio devices (RD). In contrast with the Nash equilibrium (NE), where RDs are interested in selfishly maximizing its QoS, we present a concept of equilibrium, named satisfaction equilibrium (SE), where RDs are interested only in guaranteing a minimum QoS. We provide the conditions for the existence and the uniqueness of the SE. Later, in order to provide an equilibrium selection framework for the SE, we introduce the concept of effort or cost of satisfaction, for instance, in terms of transmit power levels, constellation sizes, etc. Using the idea of effort, the set of efficient SE (ESE) is defined. At the ESE, transmitters satisfy their minimum QoS incurring in the lowest effort. We prove that contrary to the (generalized) NE, at least one ESE always exists whenever the network is able to simultaneously support the individual QoS requests. Finally, we provide a fully decentralized algorithm to allow self-configuring networks to converge to one of the SE relying only on local information.Comment: Accepted for publication in Globecom 201

From Spectrum Pooling to Space Pooling: Opportunistic Interference Alignment in MIMO Cognitive Networks

We describe a non-cooperative interference alignment (IA) technique which allows an opportunistic multiple input multiple output (MIMO) link (secondary) to harmlessly coexist with another MIMO link (primary) in the same frequency band. Assuming perfect channel knowledge at the primary receiver and transmitter, capacity is achieved by transmiting along the spatial directions (SD) associated with the singular values of its channel matrix using a water-filling power allocation (PA) scheme. Often, power limitations lead the primary transmitter to leave some of its SD unused. Here, it is shown that the opportunistic link can transmit its own data if it is possible to align the interference produced on the primary link with such unused SDs. We provide both a processing scheme to perform IA and a PA scheme which maximizes the transmission rate of the opportunistic link. The asymptotes of the achievable transmission rates of the opportunistic link are obtained in the regime of large numbers of antennas. Using this result, it is shown that depending on the signal-to-noise ratio and the number of transmit and receive antennas of the primary and opportunistic links, both systems can achieve transmission rates of the same order.Comment: Submitted to IEEE Trans. in Signal Processing. Revised on 23-11-0

On the Fictitious Play and Channel Selection Games

Considering the interaction through mutual interference of the different radio devices, the channel selection (CS) problem in decentralized parallel multiple access channels can be modeled by strategic-form games. Here, we show that the CS problem is a potential game (PG) and thus the fictitious play (FP) converges to a Nash equilibrium (NE) either in pure or mixed strategies. Using a 2-player 2-channel game, it is shown that convergence in mixed strategies might lead to cycles of action profiles which lead to individual spectral efficiencies (SE) which are worse than the SE at the worst NE in mixed and pure strategies. Finally, exploiting the fact that the CS problem is a PG and an aggregation game, we present a method to implement FP with local information and minimum feedback.Comment: In proc. of the IEEE Latin-American Conference on Communications (LATINCOM), Bogota, Colombia, September, 201

Feedback Enhances Simultaneous Wireless Information and Energy Transmission in Multiple Access Channels

In this report, the fundamental limits of simultaneous information and energy transmission in the two-user Gaussian multiple access channel (G-MAC) with and without feedback are fully characterized. More specifically, all the achievable information and energy transmission rates (in bits per channel use and energy-units per channel use, respectively) are identified. Furthermore, the fundamental limits on the individual and sum- rates given a minimum energy rate ensured at an energy harvester are also characterized. In the case without feedback, an achievability scheme based on power-splitting and successive interference cancellation is shown to be optimal. Alternatively, in the case with feedback (G-MAC-F), a simple yet optimal achievability scheme based on power-splitting and Ozarow's capacity achieving scheme is presented. Finally, the energy transmission enhancement induced by the use of feedback is quantified. Feedback can at most double the energy transmission rate at high SNRs when the information transmission sum-rate is kept fixed at the sum-capacity of the G-MAC, but it has no effect at very low SNRs.Comment: INRIA REPORT N{\deg}8804, accepted for publication in IEEE transactions on Information Theory, March, 201

Determinantes del bienestar de los trabajadores con base en el modelo integrado de organización saludable- MIOS

Los empleados son una parte importante de los grupos de interés a los cuales la compañía debe desarrollar estrategias para fortalecer y convertirlo en una ventaja competitiva dentro de la organización. Una parte importante es procurar el bienestar de los empleados por medio de ciertos indicadores que la fortalecen y de esta manera el bienestar impacta en el desempeño de la compañía y su perdurabilidad. Partiendo del análisis de diversos estudios empíricos que integran las relaciones entre Bienestar, Cultura organizacional, Capital Social y Competencias, continuamos al establecimiento de los conceptos de los sub-factores. El presente proyecto busca identificar el grado de relación entre las Sub-variables de los Factores estructurales del Modelo MIOS: Competencias, Cultura Corporativa y Capital Social. Adicionalmente reconocer el impacto de esta relación en el bienestar de los empleados. En línea con investigaciones previas podemos establecer los efectos y la relación positiva entre los sub-factores y sus respectivas dimensiones individuales de Cultura Organizacional (valores, ética, misión, símbolos, etc.), Capital Social (Redes, confianza, normas y reglas) y Competencias (comunicación, liderazgo, administrativos, relacional, etc.) con el Bienestar de los empleados en especial la satisfacción laboral de los mismos. Al continuar realizando futuras exploraciones de estas relaciones, los investigadores y administrativos podrán contribuir en la creación de un ambiente laboral positivo para los empleados al reforzar prácticas organizacionales en las que se invierta en robustecer las competencias de los empleados con la continua capacitación, fortalecer los lazos entre los empleados y establecer una cultura que se adapte e identifique a los miembros de la organización.Employees are an important part of stakeholders to which the company must develop strategies to strengthen and turn it into a competitive advantage within the organization. An important part is to ensure the welfare of employees through certain indicators that strengthen and thus welfare impacts the performance of the company and its durability. Based on the analysis of empirical studies that integrate relations Welfare Organizational Culture, Social Capital and Skills, we continue to establish the concepts of sub-factors. This project seeks to identify the degree of relationship between variables Sub-Structural Factors Model MIOS: Skills, Corporate Culture and Social Capital. Further recognize the impact of this relationship on the welfare of employees. In line with previous research we can establish the effects and the positive relationship between the sub-factors and their individual dimensions of Organizational Culture (values, ethics, mission, symbols, etc.), Social capital (networks, trust, norms and standards) and skills (communication, leadership, management, relational, etc.) with the Welfare of employees in particular job satisfaction thereof. By carrying on further exploration of these relationships, researchers and administrators can help in creating a positive work environment for employees to enhance organizational practices that invest in strengthening the skills of employees with ongoing training, strengthening ties between employees and create a culture that will meet and identify members of the organization.Universidad del Rosari

Learning Equilibria with Partial Information in Decentralized Wireless Networks

In this article, a survey of several important equilibrium concepts for decentralized networks is presented. The term decentralized is used here to refer to scenarios where decisions (e.g., choosing a power allocation policy) are taken autonomously by devices interacting with each other (e.g., through mutual interference). The iterative long-term interaction is characterized by stable points of the wireless network called equilibria. The interest in these equilibria stems from the relevance of network stability and the fact that they can be achieved by letting radio devices to repeatedly interact over time. To achieve these equilibria, several learning techniques, namely, the best response dynamics, fictitious play, smoothed fictitious play, reinforcement learning algorithms, and regret matching, are discussed in terms of information requirements and convergence properties. Most of the notions introduced here, for both equilibria and learning schemes, are illustrated by a simple case study, namely, an interference channel with two transmitter-receiver pairs.Comment: 16 pages, 5 figures, 1 table. To appear in IEEE Communication Magazine, special Issue on Game Theor