Research Description
نویسنده
چکیده
There has been a rapidly increasing research interest in the analysis and optimization of large-scale dynamical systems involving multiple agents, which arise in a variety of areas including communication networks, economics and social science, biological systems, among others. The great complexity of these systems – in the form of high dimensionality, uncertainty, and complicated interaction among different constituent parts – results in significant limitation in human understanding in the behavior of their agents and that of the overall system, and this hinders further efforts in optimization of system performance as measured by various means. Until nowadays, large-scale system modelling and optimization remains an area with major challenging problems. In this research we are particularly interested in an important class of large-scale stochastic systems where each agent interacts with all other agents via coupling in their individual dynamics and costs. A remarkable feature is that for a given agent, any other single agent only produces a negligible impact while the overall population’s effect on it is significant. This kind of individual-mass interacting systems, taking their specific forms, arise in different areas ranging from (oligopoly) economic models where each agent competes with the mass of all others over a market, network resource allocation such as power control in cellular networks and Internet traffic control, to biological systems where individual animals compete for food and reproduction opportunities [18, 7, 6, 1, 14, 21, 19]. A systematic investigation of systems with such individual-mass interactions will provide useful insights for understanding many complex phenomena related to human activities, engineering applications and the natural environment, and may extend the application horizon of systems and control theory.
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