Games on graphs with a public signal monitoring

We study pure Nash equilibria in games on graphs with an imperfect monitoring based on a public signal. In such games, deviations and players responsible for those deviations can be hard to detect and track. We propose a generic epistemic game abstraction, which conveniently allows to represent the knowledge of the players about these deviations, and give a characterization of Nash equilibria in terms of winning strategies in the abstraction. We then use the abstraction to develop algorithms for some payoff functions.Comment: 28 page

Energy dissipation in wave propagation in general relativistic plasma

Based on a recent communication by the present authors the question of energy dissipation in magneto hydrodynamical waves in an inflating background in general relativity is examined. It is found that the expanding background introduces a sort of dragging force on the propagating wave such that unlike the Newtonnian case energy gets dissipated as it progresses. This loss in energy having no special relativistic analogue is, however, not mechanical in nature as in elastic wave. It is also found that the energy loss is model dependent and also depends on the number of dimensions.Comment: 12 page

Computer aided synthesis: a game theoretic approach

In this invited contribution, we propose a comprehensive introduction to game theory applied in computer aided synthesis. In this context, we give some classical results on two-player zero-sum games and then on multi-player non zero-sum games. The simple case of one-player games is strongly related to automata theory on infinite words. All along the article, we focus on general approaches to solve the studied problems, and we provide several illustrative examples as well as intuitions on the proofs.Comment: Invitation contribution for conference "Developments in Language Theory" (DLT 2017

The Waldmeier Effect in Sunspot Cycles

We discuss two aspects of the Waldmeier Effect, namely (1) the rise times of sunspot cycles are anti-correlated to their strengths (WE1) and (2) the rates of rise of the cycles are correlated to their strengths (WE2). From analysis of four different data sets we conclude that both WE1 and WE2 exist in all the data sets. We study these effects theoretically by introducing suitable stochastic fluctuations in our regular solar dynamo model.Comment: Magnetic Coupling between the Interior and Atmosphere of the Sun; Astrophysics and Space Science Proceeding

Dark side of sharing economy: examining the unethical practices and its impact on coopetition and firm performance

The business model for the sharing economy is becoming popular in business-to-business marketing literature. Firms can utilize resources of other firms lying idle and reduce cost, optimize resource utilization and achieve greater flexibility. Some organizations also share their resources with rival firms. However, there are concerns about unethical practices by rival firms, which may be due to the misuse of data, human resources, and intellectual property, and so on. Few studies have investigated the unethical practices that may take place in the sharing economy, but there is a growing interest among the practitioners, researchers, and academicians in this area. Therefore, this study examines the unethical practices that could take place in the sharing economy and their impact on B to B cooperation and competition among rival firms and on firm performance. From the literature review and theories, a theoretical model has been developed. The model is later validated using the structural equation modelling technique considering samples from 16 firms involved in sharing resources. The study found that there is a significant negative impact of unethical practices in the sharing economy for B to B coopetition, which in turn negatively impacts firm performance