Title: Dynamic Spectrum Allocation via a Game-Theoretic Approach
Abstract: This talk is a stroll down the path of game-theoretic based dynamic spectrum allocation problems in signal processing for communication. We will begin with a basic model wherein each user seeks to maximize its information rate that is subject to interferences and a budget constraint. A distributed algorithm and its convergence are presented that provide the foundation for extensions. Next discussed is a budget minimization game subject to a quality-of-service constraint. A cognitive radio paradigm with two classes of users is introduced and treated with a pricing scheme. A further extension to allow for joint sensing and detection leads to a game where the users' maximization problem is non-concave. Analysis of the latter game is sketched. We will touch on other related models if time permits.
Bio: Jong-Shi Pang joined the University of Southern California as the Epstein Family Professor of Industrial and Systems Engineering in August 2013. Prior to this position, he was the Caterpillar Professor and Head of the Department of Industrial and Enterprise Systems Engineering for six years between 2007 and 2013. He held the position of the Margaret A. Darrin Distinguished Professor in Applied Mathematics in the Department of Mathematical Sciences and was a Professor of Decision Sciences and Engineering Systems at Rensselaer Polytechnic Institute from 2003 to 2007. He was a Professor in the Department of Mathematical Sciences at the Johns Hopkins University from 1987 to 2003, an Associate Professor and then Professor in the School of Management from 1982 to 1987 at the University of Texas at Dallas, and an Assistant and then an Associate Professor in the Graduate School of Industrial Administration at Carnegie-Mellon University from 1977 to 1982. During 1999 and 2001 (full time) and 2002 (part-time), he was a Program Director in the Division of Mathematical Sciences at the National Science Foundation.
Professor Pang was a winner of the 2003 George B. Dantzig Prize awarded jointly by the Mathematical Programming Society and the Society for Industrial and Applied Mathematics for his work on finite-dimensional variational inequalities, and a co-winner of the 1994 Frederick W. Lanchester Prize awarded by the Institute for Operations Research and Management Science. Several of his publications have received best paper awards in different engineering fields: signal processing, energy and natural resources, computational management science, and robotics and automation. He is an ISI Highly Cited Researcher in the Mathematics Category between 1980–1999; he has published 3 widely cited monographs and more than 100 scholarly journals in top peer reviewed journals. Dr. Pang is a member in the inaugural 2009 class of Fellows of the Society for Industrial and Applied Mathematics. Professor Pang's general research interest is in the mathematical modeling and analysis of a wide range of complex engineering and economics systems with focus in operations research, (single and multi-agent) optimization, equilibrium programming, and constrained dynamical systems.