1. Mechanisms and mechanism design; 1.1. Introduction to mechanisms and mechanism design; 1.2. Environments and goal functions; 1.3. Mechanisms: message exchange processes and game forms; 1.4. Initial dispersion of information and privacy preservation; 1.5. Mechanism design; 1.6. Mechanism design illustrated in a Walrasian example; 1.7. The rectangles method applied to the Walrasian goal function-informal; 1.8. Introductory discussion of informational efficiency concepts; 1.9. Regulation of logging in a national forest - an example of mechanism design; 2. From goals to means: constructing mechanisms; 2.1. Mechanism construction: Phase One; 2.2. Phase Two: constructing decentralized; 2.3.1. Flagpoles-Principles; 2.4.1. Phase Two via condensation: Principles; 2.5. Overlaps; 2.6.1. Main results; 3. Designing informationally efficient mechanisms using the language of sets; 3.1. Introduction; 3.2. Mechanism design; 3.3. Mechanisms and coverings; 3.4. A systematic process (an algorithm) for constructing and RRM covering; 3.5. Transversals; 3.6. Coverings and partitions; 3.7. Informational efficiency; 3.8. Example 1.9 revisited - a graphical presentation; 3.9. Informationally efficient mechanisms with strategic behavior; 4. Revelation mechanisms (coauthored with Kenneth R. Mount); 4.1. Introduction; 4.2. Initial set theoretic constructions; 4.3. The topological case; 4.4. Proofs and examples.