Intelligent strategy for two-person non-random perfect information zero-sum game.

Abstract

Tong Kwong-Bun.Thesis submitted in: December 2002.Thesis (M.Phil.)--Chinese University of Hong Kong, 2003.Includes bibliographical references (leaves 77-[80]).Abstracts in English and Chinese.Chapter 1 --- Introduction --- p.1Chapter 1.1 --- An Overview --- p.1Chapter 1.2 --- Tree Search --- p.2Chapter 1.2.1 --- Minimax Algorithm --- p.2Chapter 1.2.2 --- The Alpha-Beta Algorithm --- p.4Chapter 1.2.3 --- Alpha-Beta Enhancements --- p.5Chapter 1.2.4 --- Selective Search --- p.9Chapter 1.3 --- Construction of Evaluation Function --- p.16Chapter 1.4 --- Contribution of the Thesis --- p.17Chapter 1.5 --- Structure of the Thesis --- p.19Chapter 2 --- The Probabilistic Forward Pruning Framework --- p.20Chapter 2.1 --- Introduction --- p.20Chapter 2.2 --- The Generalized Probabilistic Forward Cuts Heuristic --- p.21Chapter 2.3 --- The GPC Framework --- p.24Chapter 2.3.1 --- The Alpha-Beta Algorithm --- p.24Chapter 2.3.2 --- The NegaScout Algorithm --- p.25Chapter 2.3.3 --- The Memory-enhanced Test Algorithm --- p.27Chapter 2.4 --- Summary --- p.27Chapter 3 --- The Fast Probabilistic Forward Pruning Framework --- p.30Chapter 3.1 --- Introduction --- p.30Chapter 3.2 --- The Fast GPC Heuristic --- p.30Chapter 3.2.1 --- The Alpha-Beta algorithm --- p.32Chapter 3.2.2 --- The NegaScout algorithm --- p.32Chapter 3.2.3 --- The Memory-enhanced Test algorithm --- p.35Chapter 3.3 --- Performance Evaluation --- p.35Chapter 3.3.1 --- Determination of the Parameters --- p.35Chapter 3.3.2 --- Result of Experiments --- p.38Chapter 3.4 --- Summary --- p.42Chapter 4 --- The Node-Cutting Heuristic --- p.43Chapter 4.1 --- Introduction --- p.43Chapter 4.2 --- Move Ordering --- p.43Chapter 4.2.1 --- Quality of Move Ordering --- p.44Chapter 4.3 --- Node-Cutting Heuristic --- p.46Chapter 4.4 --- Performance Evaluation --- p.48Chapter 4.4.1 --- Determination of the Parameters --- p.48Chapter 4.4.2 --- Result of Experiments --- p.50Chapter 4.5 --- Summary --- p.55Chapter 5 --- The Integrated Strategy --- p.56Chapter 5.1 --- Introduction --- p.56Chapter 5.2 --- "Combination of GPC, FGPC and Node-Cutting Heuristic" --- p.56Chapter 5.3 --- Performance Evaluation --- p.58Chapter 5.4 --- Summary --- p.63Chapter 6 --- Conclusions and Future Works --- p.64Chapter 6.1 --- Conclusions --- p.64Chapter 6.2 --- Future Works --- p.65Chapter A --- Examples --- p.67Chapter B --- The Rules of Chinese Checkers --- p.73Chapter C --- Application to Chinese Checkers --- p.75Bibliography --- p.7