Book excerpt: This book provides carefully designed illustrative examples to explain the profound in simpler terms. The emerging smart grid paradigm has paved the way for the wide introduction of flexible demand (FD) and energy storage (ES) technologies in power systems, with significant economic, technical, and environmental benefits that will facilitate efficient transition to the low-carbon future. In the deregulated energy sector, the realization of the significant FD and ES flexibility potential should be coupled with their suitable integration in electricity markets. In this context, previous studies have proposed market clearing mechanisms considering FD and ES participation and demonstrated their impact on the system operation. However, these studies have neglected fundamental market complexities, such as modeling and pricing FD non-convexities as well as modeling and analyzing the role of FD and ES in imperfect markets. This book is dedicated to address the above challenges through the development of novel computational methodologies. It also provides numerous explanatory figures, tables, algorithm flowcharts, and block diagrams for visual aid, which helps the readers to better grasp the working principles of the developed algorithms as well as to form a comprehensive comparison of results.