This book was written in order to investigate some microeconomic theorems that are fundamentals to explanation of how markets work in real world. First chapter contains insights in microeconomic theory of auctions, second chapter is about anything goes theorem incomplete markets and Ricardian equivalence theory, and the final third chapter contains issues on Shapley-Folkman- Lyapunov theorems. These theorems are interrelated with nonconvexities and the presence of multiple unique equilibria. Later these researches will be extended with an asymmetric auctions with log-concave statistical distributions of the bidders.