Optimization Algorithms and Equilibrium Analysis for Dynamic Resource Allocation

Abstract : This research project is focused on developing computational game theoretic techniques to tackle the design and computation of equilibrium power allocation/control schemes for a complex heterogeneous communication system. We have explored the use of noncooperative game theory, MPEC (Mathematical Programs with Equilibrium Constraints) to formulate and study the spectrum management problem. We have also addressed the design and computation complexities of equilibrium power spectrum policies in various game theoretic frameworks and proposed efficient distributed algorithms for dynamic power spectrum design.