Fang / Liu / Shi Grey Game Theory and Its Applications in Economic Decision-Making

Erscheinungsjahr 2010
ISBN: 978-1-4200-8740-6
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 360 Seiten

Reihe: Systems Evaluation, Prediction, and Decision-Making

To make the best decisions, you need the best information. However, because most issues in game theory are grey, nearly all recent research has been carried out using a simplified method that considers grey systems as white ones. This often results in a forecasting function that is far from satisfactory when applied to many real situations. Grey Game Theory and Its Applications in Economic Decision Making introduces classic game theory into the realm of grey system theory with limited knowledge. The book resolves three theoretical issues:

- A game equilibrium of grey game

- A reasonable explanation for the equilibrium of a grey matrix of static nonmatrix game issues based on incomplete information

- The Centipede Game paradox, which has puzzled theory circles for a long time and greatly enriched and developed the core methods of subgame Nash perfect equilibrium analysis as a result


The book establishes a grey matrix game model based on pure and mixed strategies. The author proposes the concepts of grey saddle points, grey mixed strategy solutions, and their corresponding structures and also puts forward the models and methods of risk measurement and evaluation of optimal grey strategies. He raises and solves the problems of grey matrix games. The book includes definitions of the test rules of information distortion experienced during calculation, the design of tokens based on new interval grey numbers, and new arithmetic laws to manipulate grey numbers. These features combine to provide a practical and efficient tool for forecasting real-life economic problems.

Zielgruppe

Advanced students and researchers in information systems, and management sciences; professionals working in geoscience, engineering, agriculture, medicine, and bioscience.

Autoren/Hrsg.

Fang, Zhigeng

Liu, Sifeng

Shi, Hongxing

Lin, Yi

Fachgebiete

• Mathematik | Informatik Mathematik Operations Research Spieltheorie

Inhaltsverzeichnis

Introduction. Pure Strategy Solutions of Grey Matrix Games Based on Interval Grey Numbers not to Be Determined Directly. Risk Analysis. Study on the Model of Grey Matrix Game Based on Grey Mixed Strategy. Study on the Solution of Grey Matrix Game. Study on Venture Problem of Optimal Pure Strategy Solution Based on Grey Interval Number Matrix Game and Its Control Problem. Study on the Nash Equilibrium Model of Gray Double-Matrix Static and Dynamic Game. Study on the First-Price Sealed Auction Grey Game Model Based on Finite Reasonability.

Über Autor(innen)

Zhigeng Fang is professor and doctoral tutor at the College of Economics and management, Nanjing University of Aeronautics and Astronautics (NUAA), China. From 1996 to 1999, he studied at Xi’an University of Technology, earning a master’s degree in management science and engineering management. From 2003 to 2007, he attended NUAA, earning a doctoral degree in systems engineering. His academic part-time positions include under-secretary-general of IEEE International Professional Committee of Grey Systems; governor of the Chinese Society for Optimization, Overall Planning and Economic Mathematics; managing director of Complex Systems Research Committee; secretary-general of Grey Systems Society of China; under-secretary-general of the Systems Engineering Society of Jiangsu Province, China; deputy director of the Post-Evaluation Research Center of Jiangsu Province; deputy director of the Grey Systems Research Institute of NUAA. He is a member of Services Science Global and the Services and Logistics Technical Committee of IEEE Intelligent Transportation Systems Society. His main research directions lie in the fields of theory and methods of uncertain prediction and decision, Grey game theory, applied economic, and energy economics.