The book intends to land the theoretical foundation of Pooling Game Theory, and includes three cores, pooling path selection theorem, pooling efficient information strengthening theorem and pooling game ecosystem theorem. Pooling path selection theorem emerges to recognize pooling mechanism in human society is not a one-play trial but a series of repeated pooling games. Pooling path selection theorem has three pillars, Path Dependent Pooling Equilibrium Criterion (i.e. Persistent Mutation Path and One-shot Mutation Path), Path Context Difference and Rationality Standard (Two interested contexts to be identified, Fixed Exploration Game and Fixed Exhaustion Game), Equilibrium Path Pattern Profile (Filling order, General Realization Form of Convention Evolution, Expected Disorder). Pooling efficient information strengthening theorem includes four pillars, Pooling Efficient Information Strengthening Standards (Base Game to Pooling Game to Signaling Game), Game Sponsor and Players Interaction Dynamics, Pooling Form Economics (Capacity Difference Economics: Full Pooling Cooperation, A Lump Sum Play, Primary Layer Play; Structure Economics: At Will Leave Game, Lock and Leave Game), Inherent Weakness of Multiple Player Game. Pooling Game Ecosystem theorem has four pillars, Pooling Games Competition and Coexistence Dynamics, Pooling Game Based Universal Network, Pooling Game Ecosystem Equilibrium (Interaction Equilibrium and Information Equilibrium), Pooling Game Ecosystem and Trade Game Ecosystem Co-equilibrium. The book is the first attempt in human history to use mathematical approach as the basis to understand pooling structures and practices in our society. The theory shall prevail over all forms of pooling structure in human civilization. As a part, it gives out some important and objective answers to the debates extended in the book "Capital in the 21st Century". It also provides important insights on various practical considerations and emerging issues in modern pooling mechanism, particularly for public pension plan. With more than twenty numeric examples and simplified models, it helps all levels of readers to understand the core concepts in Pooling Game Theory. To unify the efforts under the book, the computational law of reachable optimality for ordered system is introduced, which is the refined theoretical foundation of Game Theory and is the theoretical foundation of Complexity Science as well. The book also points out Two Critical Illusions and Two Pooling Information Strengthening Malpractices complicate the globally persistent ageing pattern we face today. And most likely, we have already been in an ageing driven dim economy regime worldwide. Consequently, the Book discusses the details of reasons and solutions.
About the Author: Mr. Wenliang Wang is an Independent Actuary in China, and has been serving on PBSS section committee and HS section committee of International Actuarial Association. He is the founder of Pooling Game Theory.