A game model based on multi-attribute aggregation

✍ Scribed by Xiaohan Yu; Zeshui Xu; Qi Chen

• Book ID: 102281642
• Publisher: John Wiley and Sons
• Year: 2011
• Tongue: English
• Weight: 172 KB
• Volume: 26
• Category: Article
• ISSN: 0884-8173
• DOI: 10.1002/int.20468

✦ Synopsis

In practical decision making problems, whether an alternative (strategy) of a decision maker is good or not relies on not only influences of its natural characters and external environment but also interactions with the decision maker's rivals. Thus for the sake of more accurate and actual assessments, in this paper we analyze alternatives (strategies) quantitatively based on both multi-attribute decision making methods and game theory. A multi-attribute aggregation based game model is then constructed. For general games, we first divide strategies into four forms after investigating the traits of practical game problems, and analyze relationships of these forms of strategies. Then four classifications of general game problems are presented according to the differences of strategies involved. Based on the game model, general methods to solve these four classifications of games are put forward, and relevant examples are taken to illustrate the flexibility of the methods. Moreover, we investigate the methods for solving multicriteria games, and finally extend them to general forms on the basis of the game model.